Results 71 to 80 of about 10,722 (208)
Mixed foliate CR-submanifolds in a complex hyperbolic space are non-proper
International Journal of Mathematics and Mathematical Sciences, 1988 It was conjectured in [1 II] (also in [2]) that mixed foliate CR-submanifolds in a complex hyperbolic space are either complex submanifolds or totally real submanifolds. In this paper we give an affirmative solution to this conjecture.
Bang-Yen Chen, Bao-Qiang Wu
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds
Pracì Mìžnarodnogo Geometričnogo Centru, 2017 In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
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Genuine Deformations of Submanifolds [PDF]
Communications in Analysis and Geometry, 2004 The authors introduce the concept of genuine isometric deformation of a Euclidean submanifold and they describe the geometric structure of submanifolds that admit deformations of this kind. Definition: An isometric immersion \(\widehat{f}:M^n\mapsto\mathbb R^{n+q}\) is a genuine deformation of a given isometric immersion \(f:M^n\mapsto\mathbb R^{n+p}\)
Dajczer, Marcos, Florit, Luis A.
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Geometric Properties of Potent CR-Submanifolds
MathematicsIn this paper, we propose and explore the notion of potent CR-submanifolds (PCRSs) within the framework of almost Hermitian potent manifolds (AHPMs).
Najwa Mohammed Al-Asmari +3 more
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Homogeneity of Equifocal Submanifolds
Journal of Differential Geometry, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 1974 Complex analytic submanifolds and totally real submanifolds are two typical classes among all submanifolds of an almost Hermitian manifold. In this paper, some characterizations of totally real submanifolds are given.
Koichi Ogiue, Bang-yen Chen
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Partially Slant Submanifolds of a Kähler Manifold
Almost Hermitian manifolds have a large number of submanifolds, such as holomorphic, totally real, CR-, slant, semi-slant, hemi-slant, bi-slant etc., depending on the behavior of the almost complex structure.
Yerlikaya, Firat +2 more
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Some Remarks on Quasi-Generalized CR-Null Geometry in Indefinite Nearly Cosymplectic Manifolds
International Journal of Mathematics and Mathematical Sciences, 2016 Attention is drawn to some distributions on ascreen Quasi-Generalized Cauchy-Riemannian (QGCR) null submanifolds in an indefinite nearly cosymplectic manifold. We characterize totally umbilical and irrotational ascreen QGCR-null submanifolds.
Fortuné Massamba, Samuel Ssekajja
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A General Type of Almost Contact Manifolds [PDF]
Among almost contact manifolds Sasakian manifolds, Kenmotsu manifolds (called also “a certain class of almost contact manifolds”) and cosymplectic manifolds have been studied by many authors.
Catalin Angelo Ioan
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Submanifolds of generalized Sasakian space forms [PDF]
, 2009 In the present paper submanifolds of generalized Sasakian-spaceforms are studied. We focus on almost semi-invariant submanifolds, these generalize invariant, anti-invariant, and slant submanifolds.
Alegre Rueda, Pablo Sebastián +1 more
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