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1991, 1, Studies in advanced mathematics., ISBN 084937152X, Volume 1, xvii, 364
CR Manifolds and the Tangential Cauchy Riemann Complex provides an elementary introduction to CR manifolds and the tangential Cauchy-Riemann Complex and... 
CR submanifolds | Cauchy-Riemann equations | Mathematical Physics | Differential Equations
Book
Mathematische Zeitschrift, ISSN 0025-5874, 10/2017, Volume 287, Issue 1, pp. 461 - 472
In this paper we introduce the concept of inflexible CR submanifolds. These are CR submanifolds of some complex Euclidean space such that any... 
32V30 | 32V40 | Embeddings of CR manifolds | Mathematics, general | Mathematics | Inflexible CR submanifolds | Deformations of CR manifolds | Physical Sciences | Science & Technology | Euclidean geometry | Euclidean space | Deformation | Manifolds (mathematics)
Journal Article
2016, ISBN 9811009155, 402
This book gathers contributions by respected experts on the theory of isometric immersions between Riemannian manifolds, and focuses on the geometry of CR structures on submanifolds in Hermitian manifolds... 
Discrete groups | Mathematics | Differential Geometry | Mathematics and Statistics | Mathematical Physics | Convex and Discrete Geometry | CR submanifolds
eBook
Journal of mathematical analysis and applications, ISSN 0022-247X, 05/2018, Volume 461, Issue 2, pp. 1308 - 1326
In this paper we present some linear algebra behind quadratic parts of quadratically flat complex points of codimension two real submanifold in a complex manifold... 
Complex points | Simultaneous reduction | CR manifolds | Normal forms | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Mathematics - Complex Variables
Journal Article
Bulletin of mathematical sciences, ISSN 1664-3607, 12/2018, Volume 8, Issue 3, pp. 435 - 451
Journal Article
1986, Mathematics and its applications. East European series., ISBN 9027721947, Volume 23., xii, 169
Book
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, ISSN 1844-0835, 12/2018, Volume 26, Issue 3, pp. 181 - 196
We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic -submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic... 
Primary 53C40, 53C25 | quaternionic space forms | quaternionic CR-submanifolds | invariants | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
The Journal of geometric analysis, ISSN 1559-002X, 01/2015, Volume 26, Issue 1, pp. 206 - 219
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 10/2018, Volume 68, Issue 5, pp. 1129 - 1140
We investigate four-dimensional CR submanifolds in six-dimensional strict nearly Kähler manifolds... 
53C42 | doubly twisted product | ruled submanifolds | 53B25 | 53C25 | CR submanifold | nearly Kähler manifold | Physical Sciences | Mathematics | Science & Technology | Manifolds (mathematics)
Journal Article
Advances in mathematics (New York. 1965), ISSN 0001-8708, 02/2019, Volume 343, pp. 910 - 934
Let M⊂CN be a generic real submanifold of class C4. In case M is Levi non-degenerate in the sense Tumanov, we construct stationary discs for M... 
Jet determination | Stationary discs | CR automorphisms | Physical Sciences | Mathematics | Science & Technology
Journal Article
Journal of geometry and physics, ISSN 0393-0440, 01/2014, Volume 75, pp. 92 - 97
.... A submanifold is called an ideal submanifold, for that curvature invariant, if and only if it realizes equality at every point... 
Sasakian manifold | Chen’s inequality | Contact CR-submanifold | [formula omitted]-invariant | δ-invariant | Chen's inequality | Physical Sciences | Mathematics | Physics | Physics, Mathematical | Science & Technology
Journal Article
Journal of mathematical analysis and applications, ISSN 0022-247X, 01/2017, Volume 445, Issue 1, pp. 1 - 12
We investigate four-dimensional CR submanifolds of the nearly Kähler sphere S6(1) with nullity distribution of the maximal possible dimension two, and classify them using a sphere curve and a vector field along that curve. 
Nullity distribution | Nearly Kähler six sphere | CR submanifold
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 07/2017, Volume 27, Issue 3, pp. 2453 - 2471
Let M subset of Cn+1, n >= 2, be a real codimension two CR singular real analytic submanifold that is nondegenerate and holomorphically flat... 
Hartogs–Bochner | Levi-flat Plateau problem | Extension of CR functions | CR singularity | Physical Sciences | Mathematics | Science & Technology | Singularities | Mathematical analysis | Analogue | Manifolds (mathematics) | Mathematics - Complex Variables
Journal Article
1983, Progress in mathematics, ISBN 3764331194, Volume 30., cm. --
Book
Indian Journal of Mathematics, ISSN 0019-5324, 12/2017, Volume 59, Issue 3, pp. 385 - 402
Journal Article
Filomat, ISSN 0354-5180, 2017, Volume 31, Issue 18, pp. 5511 - 5523
Chen established sharp inequalities between certain Riemannian invariants and the squared norm of mean curvature for submanifolds in real space form as well as in complex space form... 
Slant submanifolds | Chen inequality | CR-warped product | Bochner-Kaehler manifold | Einstein manifold | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology
Journal Article
Turkish journal of mathematics, ISSN 1300-0098, 2014, Volume 38, Issue 3, pp. 436 - 453
...) symplectic structures. For horizontally submersions of contact CR-submanifolds of quasi-K-cosymplectic and quasi-Kenmotsu manifolds, we study the principal characteristics and prove that their total spaces are CR-product... 
Almost contact metric submersion | Horizontal submersion | CR-submanifold | Symplectic manifold | Almost hermitian manifold | Physical Sciences | Mathematics | Science & Technology
Journal Article
Cogent mathematics, ISSN 2331-1835, 01/2017, Volume 4, Issue 1
In this paper CR-warped product submanifolds of a generalized complex space form are studied and a characterizing inequality for existence of CR-warped product submanifolds is established... 
53C42 | CR-submanifolds | 53C40 | 53C25 | warped product | nearly Kaehler manifold | Manifolds (mathematics)
Journal Article
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