Results 1 to 10 of about 7,766 (161)

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
doaj   +5 more sources

Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds [PDF]

Abstract and Applied Analysis, 2011
We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi-slant submanifolds of a Kaehler manifold and give an example.
Falleh R. Al-Solamy, Meraj Ali Khan, Siraj Uddin   +2 more
doaj   +2 more sources

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.
Veronica Martín-Molina, Luc Vrancken, Carriazo Alfonso   +2 more
exaly   +5 more sources

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
doaj   +4 more sources

Totally Umbilical Hypersurfaces of Lorentzian Reducible Spaces

Journal of Geometric Analysis
Abstract We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a $$(n+1)$$ (
Giovanni Calvaruso, Lorenzo Pellegrino, Calvaruso Giovanni   +2 more
exaly   +2 more sources

On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds

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
exaly   +3 more sources

Totally umbilical hypersurfaces of product spaces [PDF]

manuscripta mathematica, 2021
Given a Riemannian manifold $M,$ and an open interval $I\subset\mathbb{R},$ we characterize nontrivial totally umbilical hypersurfaces of the product $M\times I$ -- as well as of warped products $I\times_ωM$ -- as those which are local graphs built on isoparametric families of totally umbilical hypersurfaces of $M.$ By means of this characterization ...
Ronaldo F. de Lima, João Paulo dos Santos   +1 more
openaire   +2 more sources

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
openaire   +4 more sources

Integral inequalities for closed linear Weingarten submanifolds in the product spaces [PDF]

Anais da Academia Brasileira de Ciências, 2023
An integral inequality for closed linear Weingarten -submanifolds with parallel normalized mean curvature vector field (pnmc lw-submanifolds) in the product spaces ( ) × ℝ, > ≥ 4, where ( ) is a space form of constant sectional ...
FÁBIO R. DOS SANTOS, SYLVIA F. DA SILVA, ANTONIO F. DE SOUSA   +2 more
doaj   +1 more source

On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]

Journal of Hyperstructures, 2023
The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
doaj   +1 more source