Chinese Annals of Mathematics, Series B, ISSN 0252-9599, 7/2018, Volume 39, Issue 4, pp. 755 - 772

The authors obtain a complex Hessian comparison for almost Hermitian manifolds, which generalizes the Laplacian comparison for almost Hermitian manifolds by...

Almost-Hermitian manifolds | Quasi Kähler manifolds | Nearly Kähler manifolds | 53B35 | Mathematics, general | Mathematics | 53C15 | Applications of Mathematics | KAHLER-MANIFOLDS | COMPARISON-THEOREMS | MATHEMATICS | Quasi Kahler manifolds | Nearly Kahler manifolds | GENERAL SCHWARZ-LEMMA | EQUATION

Almost-Hermitian manifolds | Quasi Kähler manifolds | Nearly Kähler manifolds | 53B35 | Mathematics, general | Mathematics | 53C15 | Applications of Mathematics | KAHLER-MANIFOLDS | COMPARISON-THEOREMS | MATHEMATICS | Quasi Kahler manifolds | Nearly Kahler manifolds | GENERAL SCHWARZ-LEMMA | EQUATION

Journal Article

Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 10/2017, Volume 196, Issue 5, pp. 1835 - 1853

A product of Kähler manifolds also carries a Kähler metric. In this short note, we would like to study the product of generalized p-Kähler manifolds, compact...

Positive forms and currents | Primary 53C55 | Kähler manifold | Balanced manifold | 53C56 | Secondary 32J27 | SG manifold | Mathematics, general | Mathematics | p -Kähler manifold | SKT manifold | p-Kähler manifold | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | p-Kahler manifold | SPECIAL METRICS | TORSION | Kahler manifold | COMPACT COMPLEX-MANIFOLDS

Positive forms and currents | Primary 53C55 | Kähler manifold | Balanced manifold | 53C56 | Secondary 32J27 | SG manifold | Mathematics, general | Mathematics | p -Kähler manifold | SKT manifold | p-Kähler manifold | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | p-Kahler manifold | SPECIAL METRICS | TORSION | Kahler manifold | COMPACT COMPLEX-MANIFOLDS

Journal Article

Tohoku Mathematical Journal, ISSN 0040-8735, 12/2016, Volume 68, Issue 4, pp. 607 - 619

We study many properties concerning weak Kahlerianity on compact complex manifolds which admits a holomcdphic submersion onto a Kahler or a balanced manifold....

Kähler manifolds | Balanced manifolds | SG manifolds | P-Kähler manifolds | SKT manifolds | MATHEMATICS | SPECIAL METRICS | THEOREM | Kahler manifolds | STABILITY | CURRENTS | p-Kahler manifolds | sG manifolds | balanced manifolds | COMPACT COMPLEX-MANIFOLDS

Kähler manifolds | Balanced manifolds | SG manifolds | P-Kähler manifolds | SKT manifolds | MATHEMATICS | SPECIAL METRICS | THEOREM | Kahler manifolds | STABILITY | CURRENTS | p-Kahler manifolds | sG manifolds | balanced manifolds | COMPACT COMPLEX-MANIFOLDS

Journal Article

The Journal of Geometric Analysis, ISSN 1050-6926, 4/2017, Volume 27, Issue 2, pp. 947 - 967

In this paper, we consider a proper modification $$f : \tilde{M} \rightarrow M$$ f : M ~ → M between complex manifolds, and study when a generalized p-Kähler...

Modification | Primary 53C55 | Kähler manifold | Balanced manifold | Mathematics | Blow-up | Abstract Harmonic Analysis | Fourier Analysis | 32L05 | Convex and Discrete Geometry | Secondary 32J27 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | p -Kähler manifold | SKT manifold | p-Kähler manifold | MATHEMATICS | COMPACT | p-Kahler manifold | SPECIAL METRICS | SPACES | COMPLEX-MANIFOLDS | Kahler manifold

Modification | Primary 53C55 | Kähler manifold | Balanced manifold | Mathematics | Blow-up | Abstract Harmonic Analysis | Fourier Analysis | 32L05 | Convex and Discrete Geometry | Secondary 32J27 | Global Analysis and Analysis on Manifolds | Differential Geometry | Dynamical Systems and Ergodic Theory | p -Kähler manifold | SKT manifold | p-Kähler manifold | MATHEMATICS | COMPACT | p-Kahler manifold | SPECIAL METRICS | SPACES | COMPLEX-MANIFOLDS | Kahler manifold

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 05/2011, Volume 139, Issue 5, pp. 1599 - 1603

We construct a group homomorphism, which can be realized as the induced homomorphism of fundamental groups from a holomorphic map between compact Kahler...

Mathematical manifolds | Homomorphisms | Mathematics | Kähler manifolds | Complex projective varieties | Fundamental groups | MATHEMATICS | MATHEMATICS, APPLIED | complex projective varieties | Kahler manifolds

Mathematical manifolds | Homomorphisms | Mathematics | Kähler manifolds | Complex projective varieties | Fundamental groups | MATHEMATICS | MATHEMATICS, APPLIED | complex projective varieties | Kahler manifolds

Journal Article

Turkish Journal of Mathematics, ISSN 1300-0098, 2018, Volume 42, Issue 3, pp. 967 - 976

We study the class of strict nearly Kenmotsu manifolds and prove that there is no Einstein manifold or locally symmetric or locally phi-symmetric in this class...

Kenmotsu manifold | Almost Hermitian manifold | Kähler manifold | Nearly Ken- motsu manifold | Nearly Kähler manifold | MATHEMATICS | nearly Kahler manifold | Kahler manifold | nearly Kenmotsu manifold

Kenmotsu manifold | Almost Hermitian manifold | Kähler manifold | Nearly Ken- motsu manifold | Nearly Kähler manifold | MATHEMATICS | nearly Kahler manifold | Kahler manifold | nearly Kenmotsu manifold

Journal Article

Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, ISSN 0025-5858, 4/2018, Volume 88, Issue 1, pp. 217 - 245

This paper is devoted, first of all, to give a complete unified proof of the characterization theorem for compact generalized Kähler manifolds. The proof is...

Primary 53C55 | Kähler manifold | Balanced manifold | SG manifold | Mathematics | Topology | Geometry | Positive forms and currents | Algebra | Secondary 53C56 | 32J27 | Mathematics, general | Number Theory | Differential Geometry | SKT manifold | p -Kähler manifold | p-Kähler manifold | 1-DIMENSIONAL EXCEPTIONAL SET | STRONGLY GAUDUCHON METRICS | CONVEXITY | SPACES | Kahler manifold | 1-CONVEX MANIFOLDS | MATHEMATICS | p-Kahler manifold | CYCLES | COMPACT COMPLEX-MANIFOLDS

Primary 53C55 | Kähler manifold | Balanced manifold | SG manifold | Mathematics | Topology | Geometry | Positive forms and currents | Algebra | Secondary 53C56 | 32J27 | Mathematics, general | Number Theory | Differential Geometry | SKT manifold | p -Kähler manifold | p-Kähler manifold | 1-DIMENSIONAL EXCEPTIONAL SET | STRONGLY GAUDUCHON METRICS | CONVEXITY | SPACES | Kahler manifold | 1-CONVEX MANIFOLDS | MATHEMATICS | p-Kahler manifold | CYCLES | COMPACT COMPLEX-MANIFOLDS

Journal Article

Comptes rendus - Mathématique, ISSN 1631-073X, 04/2016, Volume 354, Issue 4, pp. 411 - 414

We study the blow-up of a locally conformally symplectic manifold at some point, and show that such blow-up also admits a locally conformally symplectic...

KAHLER-MANIFOLDS | MATHEMATICS

KAHLER-MANIFOLDS | MATHEMATICS

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 01/2016, Volume 99, pp. 239 - 243

Let c be a characteristic form of degree k which is defined on a Kähler manifold of real dimension m>2k. Taking the inner product with the Kähler form Ωk gives...

Kähler manifolds | pseudo Kähler manifolds | Euler–Lagrange formulas | Analytic continuation | Pseudo Kähler manifolds | Euler-Lagrange formulas | MATHEMATICS | pseudo Kahler manifolds | BONNET | Kahler manifolds | PHYSICS, MATHEMATICAL

Kähler manifolds | pseudo Kähler manifolds | Euler–Lagrange formulas | Analytic continuation | Pseudo Kähler manifolds | Euler-Lagrange formulas | MATHEMATICS | pseudo Kahler manifolds | BONNET | Kahler manifolds | PHYSICS, MATHEMATICAL

Journal Article

Journal für die reine und angewandte Mathematik (Crelles Journal), ISSN 0075-4102, 06/2013, Volume 2013, Issue 679, pp. 223 - 247

We consider a subset of the complex Lie algebra 𝔰𝔬( , ℂ) and the cone ( ) of curvature operators which are nonnegative on . We show that ( ) defines a...

MATHEMATICS | COMPACT KAHLER-MANIFOLDS

MATHEMATICS | COMPACT KAHLER-MANIFOLDS

Journal Article

Comptes rendus - Mathématique, ISSN 1631-073X, 09/2014, Volume 352, Issue 9, pp. 731 - 735

It is a remarkable fact that anti-Kähler and its twin metrics share the same Levi–Civita connection. Such torsion-free metric connection also emphasizes the...

KAHLER-MANIFOLDS | MATHEMATICS

KAHLER-MANIFOLDS | MATHEMATICS

Journal Article

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, ISSN 1073-7928, 01/2020, Volume 2020, Issue 1, pp. 14 - 24

We show that the image of a dominant meromorphic map from an irreducible compact Calabi-Yau manifold X whose general fiber is of dimension strictly between 0...

MATHEMATICS | COMPACT KAHLER MANIFOLD | CHOW RING | SURFACES

MATHEMATICS | COMPACT KAHLER MANIFOLD | CHOW RING | SURFACES

Journal Article

Journal of Geometry and Physics, ISSN 0393-0440, 02/2019, Volume 136, pp. 156 - 172

We introduce Kähler–Poisson algebras as analogues of algebras of smooth functions on Kähler manifolds, and prove that they share several properties with their...

Lie–Rinehart algebra | Kähler manifold | Curvature | Levi-Civita connection | MATHEMATICS | DEFORMATION QUANTIZATION | Lie-Rinehart algebra | PHYSICS, MATHEMATICAL | Kahler manifold | GEOMETRY | Fysik | Physical Sciences | Naturvetenskap | Other Physics Topics | Lie-Rinehart algebra; Kahler manifold; Levi-Civita connection; Curvature | Annan fysik | Natural Sciences

Lie–Rinehart algebra | Kähler manifold | Curvature | Levi-Civita connection | MATHEMATICS | DEFORMATION QUANTIZATION | Lie-Rinehart algebra | PHYSICS, MATHEMATICAL | Kahler manifold | GEOMETRY | Fysik | Physical Sciences | Naturvetenskap | Other Physics Topics | Lie-Rinehart algebra; Kahler manifold; Levi-Civita connection; Curvature | Annan fysik | Natural Sciences

Journal Article

Journal of Geometric Analysis, ISSN 1050-6926, 04/2018, Volume 28, Issue 2, pp. 1091 - 1121

Let C be a connected divisor in a compact Kahler manifold such that the self-intersection of C, computed with respect to a Kahler metric, vanishes. Assume that...

cohomology | Covering of Kähler manifolds | Harmonic forms | KAHLER-MANIFOLDS | TOPOLOGY | FIBRATIONS | FUNDAMENTAL GROUP | Covering of Kahler manifolds | COVERINGS | CONJECTURE | L-2 | MATHEMATICS | DIVISORS | OPERATORS | l-cohomology | SURFACES

cohomology | Covering of Kähler manifolds | Harmonic forms | KAHLER-MANIFOLDS | TOPOLOGY | FIBRATIONS | FUNDAMENTAL GROUP | Covering of Kahler manifolds | COVERINGS | CONJECTURE | L-2 | MATHEMATICS | DIVISORS | OPERATORS | l-cohomology | SURFACES

Journal Article

Proceedings of the American Mathematical Society, ISSN 0002-9939, 12/2018, Volume 146, Issue 12, pp. 5409 - 5419

This paper contains some observations on abelian convexity theorems. Convexity along an orbit is established in a very general setting using Kempf-Ness...

Kähler manifolds | Geometric invariant theory | Probability measures | Moment maps | moment maps | probability measures | MATHEMATICS | MATHEMATICS, APPLIED | RESPECT | geometric invariant theory | Kahler manifolds | STABILITY | ORBITOPES | MOMENT MAP

Kähler manifolds | Geometric invariant theory | Probability measures | Moment maps | moment maps | probability measures | MATHEMATICS | MATHEMATICS, APPLIED | RESPECT | geometric invariant theory | Kahler manifolds | STABILITY | ORBITOPES | MOMENT MAP

Journal Article

Publications de l'Institut Mathematique, ISSN 0350-1302, 2018, Volume 103, Issue 117, pp. 147 - 158

Journal Article

Topology and its Applications, ISSN 0166-8641, 03/2019, Volume 255, pp. 15 - 31

Let ϕ:M→M be a diffeomorphism of a C∞ compact connected manifold, and X its mapping torus. There is a natural fibration p:X→S1, denote by ξ∈H1(X,Z) the...

Massey products | Twisted cohomology | Kähler manifolds | Mapping torus | MATHEMATICS | MATHEMATICS, APPLIED | Kahler manifolds | MANIFOLDS | Mathematics

Massey products | Twisted cohomology | Kähler manifolds | Mapping torus | MATHEMATICS | MATHEMATICS, APPLIED | Kahler manifolds | MANIFOLDS | Mathematics

Journal Article

Journal of Topology and Analysis, ISSN 1793-5253, 12/2016, Volume 8, Issue 4, pp. 589 - 626

Let M be a closed symplectic manifold of volume V. We say that the symplectic packings of M by balls are unobstructed if any collection of disjoint symplectic...

symplectic packing | hyper-Kähler manifold | Kähler manifold | Campana simple complex structure | Kähler cone | symplectic cone | Symplectic manifold | THEOREM | Kahler manifold | HYPERKAHLER | MODULI SPACES | hyper-Kahler manifold | MATHEMATICS | Kahler cone | FAMILIES | GEOMETRY

symplectic packing | hyper-Kähler manifold | Kähler manifold | Campana simple complex structure | Kähler cone | symplectic cone | Symplectic manifold | THEOREM | Kahler manifold | HYPERKAHLER | MODULI SPACES | hyper-Kahler manifold | MATHEMATICS | Kahler cone | FAMILIES | GEOMETRY

Journal Article

Transactions of the American Mathematical Society, ISSN 0002-9947, 2016, Volume 368, Issue 11, pp. 8223 - 8248

In this paper, we give a new method to construct a compact symplectic manifold which does not satisfy the hard Lefschetz property. Using our method, we...

Non-Kähler manifold | Hamiltonian action | Symplectic manifold | Hard Lefschetz property | MATHEMATICS | hard Lefschetz property | EXAMPLES | non-Kahler manifold

Non-Kähler manifold | Hamiltonian action | Symplectic manifold | Hard Lefschetz property | MATHEMATICS | hard Lefschetz property | EXAMPLES | non-Kahler manifold

Journal Article

Filomat, ISSN 0354-5180, 1/2016, Volume 30, Issue 11, pp. 3115 - 3122

In this paper we study fundamental equations of holomorphically projective mappings of (pseudo-) Kähler manifolds with respect to the smoothness class of...

Mathematical manifolds | Coordinate systems | Riemann manifold | Tensors | Geometric shapes | (pseudo-) kähler manifold | Kähler manifold | Holomorphically projective mappings | Smoothness class | MATHEMATICS | MATHEMATICS, APPLIED | (pseudo-) Kahler manifold | SPACES | KIND | smoothness class | Kahler manifold

Mathematical manifolds | Coordinate systems | Riemann manifold | Tensors | Geometric shapes | (pseudo-) kähler manifold | Kähler manifold | Holomorphically projective mappings | Smoothness class | MATHEMATICS | MATHEMATICS, APPLIED | (pseudo-) Kahler manifold | SPACES | KIND | smoothness class | Kahler manifold

Journal Article

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