Results 91 to 100 of about 17,898 (118)

Characterizations of linear Weingarten space-like hypersurface in a locally symmetric Lorentz space

, 2019
Our purpose in this paper is to study complete linear Weingarten space-like hypersurface immersed in locally symmetric Lorentz space obeying some curvature conditions.
R. Mi
semanticscholar   +1 more source

Codazzi and totally umbilical hypersurfaces in $\mathrm {Sol}_1^4$

Glasgow Mathematical Journal
Abstract In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the $4 ...
Zlatko Erjavec, Jun-ichi Inoguchi
openaire   +1 more source

On biharmonic conformal hypersurfaces

Differential geometry and its applications
In this paper, we first derive biharmonic equation for conformal hypersurfaces in a generic Riemannian manifold generalizing that for biharmonic hypersurfaces in \cite{Ou1} and that for biharmonic conformal surfaces in \cite{Ou3, Ou2, Ou4}.
A. Cherif, Ye-lin Ou
semanticscholar   +1 more source

ON RIEMANNIAN MANIFOLDS WHICH ADMIT A PARALLEL FAMILY OF TOTALLY UMBILICAL HYPERSURFACES

The Quarterly Journal of Mathematics, 1985
A parallel family of totally umbilical hypersurfaces in a Riemannian manifold is a smooth 1-parameter family of codimension -1 totally umbilical submanifolds every two of which are locally a constant distance apart. A perfect example is a family of concentric spheres in Euclidean space or some other space form.
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An extension of Liebmann’s theorem to hypersurfaces with boundary

Proceedings of the American Mathematical Society
Liebmann’s theorem asserts that a compact, connected, convex surface with constant mean curvature (CMC) in the Euclidean space must be a totally umbilical sphere.
F. Cruz, B. Nelli
semanticscholar   +1 more source

A Mean Curvature Type Flow with Capillary Boundary in a Horoball in Hyperbolic Space

Results in Mathematics
In this paper, we study a mean curvature type flow with capillary boundary in a horoball in hyperbolic space. Our flow preserves the volume of the bounded domain enclosed by the hypersurface and monotonically decreases the energy functional. We show that
Jinyu Guo
semanticscholar   +1 more source

Totally umbilical degenerate Monge hypersurfaces of R 2 4

1996
The purpose of the paper is to determine all totally umbilical degenerate Monge hypersurfaces of R 4 2 . To this end, we recall the terminology and few results from Bejancu - Duggal [1].
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On totally umbilical hypersurfaces of weakly projective symmetric spaces

2013
Summary: The object of the present paper is to study the totally umbilical hypersurfaces of weakly projective symmetric spaces and it is shown that the totally umbilical hypersurfaces of a weakly projective symmetric space are also weakly projective symmetric spaces.
Hui, Shyamal Kumar, Zengin, Füsun Özen
openaire   +1 more source

On the Riemannian Curvature Invariants of Totally eta-Umbilical Real Hypersurfaces of a Complex Space Form

2020
Some relations involving the Ricci and scalar curvatures of totally $\eta$-umbilical real hypersurfaces of a complex space form are examined. With the help of these relations, some results on totally $\eta$-umbilical real hypersurfaces of a complex space form are given.
DENİZ, Özlem, GÜLBAHAR, Mehmet
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Totally umbilical manifolds inG(2,n). I

, 1994
Yu. A. Nikolaevskii
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