Results 101 to 110 of about 207 (126)

A Constrained Mean Curvature Flow On Capillary Hypersurface Supported On Totally Geodesic Plane

We prove a new Minkowski type formula for capillary hypersurfaces supported on totally geodesic hyperplanes in hyperbolic space. It leads to a volume-preserving flow starting from a star-shaped initial hypersurface.
Chai, Xiaoxiang, Chen, Yimin
core  

Constant mean curvature hypersurfaces with constant angle in semi-Riemannian space forms

, 2016
We study constant angle semi-Riemannian hypersurfaces Mimmersed in semi-Riemannian space forms, where the constant angle is defined in terms of a closed and conformal vector field Zin the ambient space form.
GABRIEL RUIZ HERNANDEZ, JOSE MATIAS NAVARRO SOZA, DIDIER ADAN SOLIS GAMBOA   +2 more
core  

Codazzi and totally umbilical hypersurfaces in Sol1 4

Codazzi and totally umbilical hypersurfaces in Sol1 4
In this paper, we prove the non-existence of Codazzi and totally umbilical hypersurfaces, especially totally geodesic hypersurfaces, in the 4-dimensional model space Sol(1)(4).
openaire  

Biharmonic Legendre Curves on Totally η-Umbilical, Ruled, and Hopf Hypersurfaces in Four-Dimensional Complex Space Forms

Symmetry
The main purpose of the present paper is to investigate biharmonic Legendre curves on hypersurfaces in four-dimensional complex space forms. We examine the necessary conditions for the existence of such curves on totally η-umbilical, ruled, and Hopf hypersurfaces for which the shape operator AN satisfies a symmetry property.
openaire   +1 more source

Characterization of totally umbilic hypersurfaces in a space form by circles

Characterization of totally umbilic hypersurfaces in a space form by circles
論文(Article)
openaire  

On Riemannian spaces admitting a family of totally umbilical hypersurfaces, I

Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1951
openaire   +4 more sources

Parallel and totally umbilical hypersurfaces of the four-dimensional Thurston geometry Sol₀⁴

sponsorship: M. D'haene is supported by Methusalem grant METH/21/03-long-term structural funding of the Flemish Government. J. Inoguchi is partially supported by JSPS KAKENHI Grant Numbers 23K03081 and 19K03461. J. Van der Veken is supported by the Research Foundation-Flanders (FWO) and the National Natural Science Foundation of China (NSFC) under ...
D'haene, Marie, Inoguchi, Jun-ichi, Van der Veken, Joeri   +2 more
openaire   +1 more source

TOTALLY η-UMBILIC HYPERSURFACES IN A NONFLAT COMPLEX SPACE FORM AND THEIR ALMOST CONTACT METRIC STRUCTURES

Scientiae Mathematicae Japonicae, 2010
KIM, BYUNG HAK, MAEDA, SADAHIRO
openaire   +1 more source

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A characterization of totally umbilical hypersurfaces in de Sitter space

Journal of Geometry and Physics, 2004
Let \(M^n\) be a compact space-like hypersurface in de Sitter space and let \(H_k\) denotes \(k\)-th mean curvature function of \(M^n\). The authors prove that if \(M^n\) is contained in the chronological future (or past) of an equator of de Sitter space then \(M^n\) is a totally umbilical round sphere if there exist nonnegative constants \(C_1,C_2 ...
Sung-Eun Koh
exaly   +3 more sources

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   +2 more sources