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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On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds [PDF]
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Rakesh Kumar, R K Nagaich
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Differencialʹnaâ Geometriâ Mnogoobrazij Figur, 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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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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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 ...
Masahiro Kon
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Totally contact umbilical screen-slant and screen-transversal lightlike submanifolds of indefinite Kenmotsu manifold [PDF]
Mathematica BohemicaWe study totally contact umbilical screen-slant lightlike submanifolds and totally contact umbilical screen-transversal lightlike submanifolds of an indefinite Kenmotsu manifold.
Payel Karmakar
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A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold
Kuwait Journal of Science, 2013 In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.
KHUSHWANT SINGH +2 more
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Totally umbilical submanifolds in pseudo-Riemannian space forms [PDF]
Tsukuba Journal of Mathematics, 2021 Yuichiro Sato
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Totally Umbilical Screen Transversal Lightlike Submanifolds of Semi-Riemannian Product Manifolds
Advances in Pure Mathematics, 2012 Syed Mahmood Haider +2 more
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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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