Results 1 to 10 of about 18,512 (114)
Дифференциальная геометрия многообразий фигур, 2022 Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds [PDF]
Abstract and Applied Analysis, 2012 We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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On totally umbilical CR-submanifolds of a Kaehler manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
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Contact totally umbilical submanifolds of a sasakian space form [PDF]
Annali Di Matematica Pura Ed Applicata, 1977 We define a notion of contact totally umbilical submanifolds of Sasakian space forms corresponds to those of totally umbilical submanifolds of complex space forms. We study a contact totally umbilical submanifold M of a Sasakian space form\(\overline M \left( c \right)\) (c ≠ −3) and prove that M is an invariant submanifold or an anti-invariant ...
Kon Masahiro, Masahiro Kon
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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 1987 We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally
K. L. Duggal, R. Sharma
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A classification of totally geodesic and totally umbilical Legendrian submanifolds of $$(\kappa ,\mu )$$ ( κ , μ ) -spaces [PDF]
Annals of Global Analysis and Geometry, 2018 We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of $(κ,μ)$-spaces with Boeckx invariant $I \leq -1$. In particular, we prove that such submanifolds must be, up to local isometries, among the examples that we explicitly construct.
Luc Vrancken +2 more
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Planar Pseudo-geodesics and Totally Umbilic Submanifolds [PDF]
The Journal of Geometric Analysis, 2023 AbstractWe study totally umbilic isometric immersions between Riemannian manifolds. First, we provide a novel characterization of the totally umbilic isometric immersions with parallel normalized mean curvature vector, i.e., those having nonzero mean curvature vector and such that the unit vector in the direction of the mean curvature vector is ...
Steen Markvorsen, Matteo Raffaelli
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On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space
Bulletin of Mathematical Sciences, 2022 We investigate the umbilicity of n-dimensional complete linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector field in the de Sitter space [Formula: see text] of index [Formula: see text].
Weiller F. C. Barboza +3 more
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CHARACTERIZATIONS OF CONTACT PSEUDO-SLANT SUBMANIFOLDS OF A PARA-KENMOTSU MANIFOLD
Journal of Amasya University the Institute of Sciences and Technology, 2022 In this paper, the geometry of contact pseudo-slant submanifolds of a para Kenmotsu manifoldhowe been studied. The necessary and sufficient conditions for a submanifolds to be a contact pseudoslantsubmanifolds of a para Kenmotsu manifold are given.
Ümit Yıldırım, Süleyman Dirik
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A Discrete Representation of the Second Fundamental Form
Mathematics, 2022 We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form.
Alfonso Carriazo +2 more
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