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Osaka Journal of Mathematics, ISSN 0030-6126, 2015, Volume 52, Issue 2, pp. 373 - 376
Sections 7 and 8 of "The Dotfineister Neher theorem on isoparametric hyper-surfaces", (Osaka J. Math. 46, 695-715) are the heart of the paper, but a lack of... 
MATHEMATICS | 53C40
Journal Article
Nagoya mathematical journal, ISSN 0027-7630, 12/2011, Volume 204, pp. 1 - 18
In this sequel to an earlier article, employing more commutative algebra than previously, we show that an isoparametric hypersurface with four principal... 
MATHEMATICS | 53C40
Journal Article
Osaka Journal of Mathematics, ISSN 0030-6126, 2015, Volume 52, Issue 2, pp. 299 - 305
We give a different proof of a theorem of O. Loos [5] which characterizes maximal tori of extrinsically symmetric spaces. On the way we show some facts on... 
MATHEMATICS | SUB-MANIFOLDS | 53C35 | 53C40
Journal Article
Bulletin of the London Mathematical Society, ISSN 0024-6093, 10/2017, Volume 49, Issue 5, pp. 903 - 907
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a (non‐trivial) totally geodesic submanifold of M. The... 
53C40 (secondary) | 53C35 (primary) | MATHEMATICS | Mathematics - Differential Geometry
Journal Article
Advances in geometry, ISSN 1615-7168, 2017, Volume 17, Issue 3, pp. 355 - 362
In this paper, we establish two sharp inequalities for the normalized 
Kenmotsu space form | 53C40 | almost contact manifold | 53C25 | Casorati curvature | Riemannian submanifold | SLANT SUBMANIFOLDS | MATHEMATICS
Journal Article
Osaka Journal of Mathematics, ISSN 0030-6126, 03/2012, Volume 49, Issue 1, pp. 125 - 132
Let Q(m+1) denote the family of regular Sasakian manifolds whose base manifold M-2m is a compact symmetric space. We provide a classification of the totally... 
MATHEMATICS | COMPLEX | 53C40 | 53C25
Journal Article
Geometriae Dedicata, ISSN 0046-5755, 8/2014, Volume 171, Issue 1, pp. 407 - 412
In the paper referred to in the title, we proved that any immersed flat tori in $$S^3$$ S 3 whose mean curvature does not change sign has extrinsic diameter... 
Geometry | 53C75 | Primary 53C42 | Mathematics | Secondary 53C40
Journal Article
Nagoya mathematical journal, ISSN 0027-7630, 2009, Volume 193, pp. 129 - 154
The classification of isoparametric hypersurfaces with four principal curvatures in spheres in [2] hinges on a crucial characterization, in terms of four sets... 
MATHEMATICS | isoparametric hypersurface | 53C40
Journal Article
Advances in Geometry, ISSN 1615-715X, 04/2019, Volume 19, Issue 2, pp. 235 - 250
We prove that every biharmonic hypersurface having constant higher order mean curvature for > 2 in a space form ) is of constant mean curvature. In particular,... 
mean curvature vector | 53C42 | 53C40 | 53D12 | isoparametric hypersurfaces | Biharmonic submanifolds | MATHEMATICS | CLASSIFICATION | SUBMANIFOLDS | Curvature | Hyperspaces
Journal Article
Osaka Journal of Mathematics, ISSN 0030-6126, 03/2013, Volume 50, Issue 1, pp. 161 - 169
We show that antipodal sets of symmetric R-spaces have the following properties. Any antipodal set is included in a great antipodal set and any two great... 
MATHEMATICS | INTERSECTION | 2 REAL FORMS | 53C35 | 53C40
Journal Article
Journal of geometry, ISSN 1420-8997, 2018, Volume 109, Issue 3, pp. 1 - 8
In this paper, we prove that a strongly convex complex Finsler metric F on a domain $$D\subset \mathbb {C}^n$$ D⊂Cn is projectively flat (resp. dually flat) if... 
Geometry | dually flat | 53C40 | Mathematics | 53C60 | projectively flat | Strongly convex complex Finsler metric
Journal Article
Advances in Geometry, ISSN 1615-715X, 07/2016, Volume 16, Issue 3, pp. 329 - 335
Using Oprea’s optimization methods on submanifolds, we give another proof of the inequalities relating the normalized -Casoraticurvature −1) for submanifolds... 
Casorati curvatures | real space form | 53C40 | Inequalities | 49K35 | SLANT SUBMANIFOLDS | MATHEMATICS | LAGRANGIAN SUBMANIFOLDS | SATISFYING CHENS EQUALITY
Journal Article
Advances in Geometry, ISSN 1615-715X, 07/2018, Volume 18, Issue 3, pp. 373 - 384
We investigate a class of complex Finsler metrics on a domain ⊂ ℂ . Necessary and sufficient conditions for these metrics to be strongly pseudoconvex complex... 
53C40 | Complex Finsler metric | 53C60 | complex Berwald metric | holomorphic curvature | MATHEMATICS
Journal Article
Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică, ISSN 1844-0835, 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... 
Primary 53C40, 53C25 | quaternionic space forms | quaternionic CR-submanifolds | invariants | MATHEMATICS | MATHEMATICS, APPLIED | delta-invariants
Journal Article
Mathematica Slovaca, ISSN 0139-9918, 12/2019, Volume 69, Issue 6, pp. 1425 - 1436
In this article we study Einstein-Weyl structures on a 3-dimensional trans-Sasakian manifold of type ( , ). First, we prove that a 3-dimensional trans-Sasakian... 
trans-Sasakian manifold | Secondary 53C15 | Einstein-Weyl structure | Primary 53C40 | Sasakian manifold | Kenmotsu manifold | cosymplectic manifold | MATHEMATICS | f-Kenmotsu manifold
Journal Article
Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2015, Volume 67, Issue 1, pp. 275 - 291
We minutely describe the intersection of two real forms in a non-irreducible Hermitian symmetric space M of compact type. In the case where M is irreducible we... 
Antipodal set | Hermitian symmetric space | Real form | MATHEMATICS | real form | antipodal set
Journal Article
Osaka Journal of Mathematics, ISSN 0030-6126, 09/2010, Volume 47, Issue 3, pp. 731 - 737
Let M be a compact complex manifold and let (L, H) be a holomorphic Hermitian line bundle over M such that the curvature form of It is nondegenerate and splits... 
MATHEMATICS | 32V40 | 53C40 | 34E40
Journal Article
Bulletin of the Iranian Mathematical Society, ISSN 1017-060X, 8/2019, Volume 45, Issue 4, pp. 1117 - 1133
We prove that every biconservative hypersurface M in $$\mathbb {E}^5$$ E 5 with constant norm of second fundamental form has constant mean curvature. 
53C42 | 53C40 | 53D12 | Biconservative hypersurfaces | Mathematics, general | Mathematics | Euclidean space | Mean curvature vector | Biharmonic submanifolds | MATHEMATICS
Journal Article
Communications in Mathematics, ISSN 2336-1298, 06/2019, Volume 27, Issue 1, pp. 1 - 12
We study lightlike hypersurfaces of an indefinite Kaehler manifold of quasi-constant curvature subject to the condition that the characteristic vector field of... 
Totally umbilical | 53C40 | 53C50 | 53C25 | Screen conformal | quasi-constant curvature | 53c40 | 53c50 | screen conformal | 53c25 | totally umbilical
Journal Article
Mathematische Nachrichten, ISSN 0025-584X, 2018, Volume 291, Issue 8-9, pp. 1356 - 1373
Given a closed submanifold, or a compact regular domain, in Euclidean space, we consider the Riesz energy defined as the double integral of some power of the... 
analytic continuation | 53C40 | Hadamard regularization | 53C65 | 46T30 | fractional perimeter | Riesz potential | energy | MATHEMATICS | BETA-FUNCTION | KNOT
Journal Article
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