Results 81 to 90 of about 179 (133)

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  

Stability and eigenvalue estimates of linear Weingarten hypersurfaces in a sphere

, 2013
Let M be an n-dimensional compact hypersurface without boundary in a unit sphere Sn+1(1). M is called a linear Weingarten hypersurface if cR+dH+e=0, where c,d and e are constants with c2+d2>0, R and H denote the scalar curvature and the mean curvature of
Chen, Hang, Wang, Xianfeng
core   +1 more source

Chen's Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold. [PDF]

J Inequal Appl, 2018
Ménédore K.
europepmc   +1 more source

Low Dimensional Isotropic Submanifolds [PDF]

, 2002
设Mn+p(c)是单连通空间形式 ,Mn(n 4)是Mn+p 中具有常平均曲率H的紧致连通迷向子流形 ;本文证得如下结果 :若M的截面曲率KM n2 (n+1) (H2 +c) ,则M是全脐的或是Mn+p 中某个全脐超曲面中的Veronese流形Suppose that M n(n4) is an isotropic submanifold in M n+p(c) with contant neam curvature H.It is proved that if the sectional ...
李锦堂
core  

Gap phenomenon of an abstract Willmore type functional of hypersurface in unit sphere. [PDF]

ScientificWorldJournal, 2014
Zhu Y, Liu J, Wu G.
europepmc   +1 more source

Hyperbolic submanifolds with finite type hyperbolic Gauss map

, 2015
We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map.
Yeğin, Rüya, Dursun, Uğur
core   +1 more source

Totally umbilical radical transversal lightlike hypersurfaces of Kähler-Norden manifolds of constant totally real sectional curvatures

, 2014
In this paper we study curvature properties of semi-symmetric type of totally umbilical radical transversal lightlike hypersurfaces $(M,g)$ and $(M,\widetilde g)$ of a Kähler-Norden manifold $(\overline M,\overline J,\overline g,\overline {\widetilde g})$ of constant totally real sectional curvatures $\overline ν$ and $\overline {\widetilde ν}$ ($g ...
openaire   +3 more sources

Lightlike hypersurfaces in indefinite S-manifolds

, 2010
In a metric g.f.f-manifold we study lightlike hypersurfaces M tangent to the characteristic vector fields, and owing to the presence of the f-structure, we determine some decompositions of TM and of a chosen screen distribution obtaining two ...
BRUNETTI L, PASTORE, Anna Maria
core  

Totally Umbilical Hypersurfaces of Kaehler Manifolds

Totally Umbilical Hypersurfaces of Kaehler Manifolds
24 KJ00003571949 論文 ...
openaire  

On effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes

Annals of Global Analysis and Geometry
AbstractWe study the effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes, both in the spacelike and the timelike case, respectively. In the spacelike case, we study totally umbilic warped product graphs and give a full characterization of embedded surfaces with constant spacetime mean curvature using an
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