Results 31 to 40 of about 17,898 (118)
Quasi‐Einstein Hypersurfaces of Complex Space Forms
Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020 Based on a well‐known fact that there are no Einstein hypersurfaces in a nonflat complex space form, in this article, we study the quasi‐Einstein condition, which is a generalization of an Einstein metric, on the real hypersurface of a nonflat complex space form. For the real hypersurface with quasi‐Einstein metric of a complex Euclidean space, we also
Xuehui Cui, Guozhen Lu, Xiaomin Chen
wiley +1 more source
CR-hypersurfaces of the six-dimensional sphere
International Journal of Mathematics and Mathematical Sciences, 1994 We proved that there does not exist a proper CR-hypersurface of S6 with parallel second fundamental form. As a result of this we showed that S6 does not admit a proper CR-totally umbilical hypersurface.
M. A. Bashir
doaj +1 more source
Characterization of totally umbilic hypersurfaces in a space form by circles [PDF]
Czechoslovak Mathematical Journal, 2005 In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.
Toshiaki Adachi, Sadahiro Maeda
openaire +1 more source
Umbilical routes along geodesics and hypercycles in the hyperbolic space [PDF]
Differential geometry and its applications, 2017 Given a geodesic line $\gamma$ the hyperbolic space $\mathbb H^n$ we formulate a necessary and sufficient condition for a function along this geodesic which measure the mean curvature of totally umbilical leaves of a foliation orthogonal to $\gamma ...
M. Czarnecki
semanticscholar +1 more source
Mathematische Nachrichten, 2023 18 pages, published in Mathematische ...
D'haene, Marie +2 more
openaire +3 more sources
Some characterizations on totally geodesic transversal hypersurfaces of a nearly B-Kenmotsu manifold
Journal of Ultra Scientist of Physical Sciences Section A, 2020 In this paper, we study some results of transversal hypersurfaces with (f, g˜, u, v, \lambda)-structure of a nearly \beta-Kenmotsu manifold. Some more results on totally geodesic or totally umbilical transversal hypersurface with (f, g˜, u, v, \lambda ...
J. Singh
semanticscholar +1 more source
On complete spacelike hypersurfaces with constant scalar curvature in the de Sitter space
Anais da Academia Brasileira de Ciências, 2000 Let Mn be a complete spacelike hypersurface with constant normalized scalar curvature R in the de Sitter Space S1n + 1. Let H the mean curvature and suppose that = (R - 1) > 0 and
ALDIR BRASIL JR, A. GERVASIO COLARES
doaj +1 more source
Totally umbilical hypersurfaces of manifolds admitting a unit Killing field [PDF]
Transactions of the American Mathematical Society, 2012 We prove that a Riemannian product of type M x R (where R denotes the Euclidean line) admits totally umbilical hypersurfaces if and only if M has locally the structure of a warped product and we give a complete description of the totally umbilical hypersurfaces in this case.
Souam, Rabah, Van der Veken, Joeri
openaire +2 more sources
Spacelike Hypersurfaces in Weighted Generalized Robertson‐Walker Space‐Times
Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018 Applying generalized maximum principle and weak maximum principle, we obtain several uniqueness results for spacelike hypersurfaces immersed in a weighted generalized Robertson‐Walker (GRW) space‐time under suitable geometric assumptions. Furthermore, we also study the special case when the ambient space is static and provide some results by using ...
Ximin Liu, Ning Zhang, Remi Léandre
wiley +1 more source
Advances in Mathematical Physics, Volume 2016, Issue 1, 2016., 2016 Based on general (1 + 3) threading of the spacetime (M, g), we obtain a new and simple splitting of both the Einstein field equations (EFE) and the conservation laws in (M, g). As an application, we obtain the splitting of EFE in an almost FLRW universe with energy‐momentum tensor of a perfect fluid.
Aurel Bejancu +2 more
wiley +1 more source