Results 81 to 90 of about 207 (126)
Null hypersurfaces in generalized Robertson-Walker spacetimes
, 2016 We study the geometry of null hypersurfaces M in generalized Robertson–Walker spacetimes. First we characterize such null hypersurfaces as graphs of generalized eikonal functions over the fiber and use this characterization to show that such ...
JOSE MATIAS NAVARRO SOZA +2 more
core
On the first eigenvalue of spacelike hypersurfaces in Lorentzian space [PDF]
, 2006 summary:In this paper we obtain a lower bound for the first Dirichlet eigenvalue of complete spacelike hypersurfaces in Lorentzian space in terms of mean curvature and the square length of the second fundamental form.
Wu, Bing-Ye
core
Real hypersurface of a complex space form [PDF]
, 2016 The purpose of the present paper is to give characterization of real hyper- surface of a complex space form. We find conditions for these hypersurfaces to be phi- symmetric and to have eta- parallel curvature tensor.
SAVITRI SHASHIDAR, ., NAGARAJA, H.G.
core +1 more source
On the geometry of null hypersurfaces in Minkowski space
, 2014 The present work is divided into three parts. First we study the null hypersurfaces of the Minkowski space R1n+2, classifying all rotation null hypersurfaces in R1n+2.
JOSE MATIAS NAVARRO SOZA +2 more
core
Quantitative stability for anisotropic nearly umbilical hypersurfaces
, 2019 We prove qualitative and quantitative stability of the following rigidity theorem: the only anisotropic totally umbilical closed hypersurface is the Wulff shape.
Gioffrè, Stefano, De Rosa, Antonio
core +1 more source
Classification of umbilical totally submanifolds of Sn x R
, 2022 In this thesis, we will present a classification for the umbilical submanifolds of arbitrary dimension and codimension of S n × R, based on the work by Bruno Mendonça and Ruy Tojeiro in [11]. The classification that will be presented extends the current
Costa, Rodrigo
core
Maximum Principle for Totally Umbilical Null Hypersurfaces and Time-dependent Null Horizons
Journal of Mathematics Research, 2015 In this paper we modify the maximum principal of (Galloway, 2000) for totally geodesic null hypersurfaces by proving a geometric maximum principle which obeys mean curvature inequalities of a family of totally umbilical null hypersurfaces of a spacetime manifold (Theorem~6).
openaire +2 more sources
Contact Hypersurfaces of a Bochner-Kaehler Manifold
, 2013 We have studied contact metric hypersurfaces of a Bochner-Kaehler manifold and obtained the following two results: (1) A contact metric constant mean curvature (C M C) hypersurface of a Bochner-Kaehler manifold is a (k, µ)-contact manifold, and (2) If M ...
Sharma, Ramesh, Ghosh, Amalendu
core +1 more source
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
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