Results 71 to 80 of about 207 (126)
On nondegenerate umbilical affine hypersurfaces in recurrent affine manifolds
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004 Let $widetilde{M}$ be a differentiable manifold of dimension $geqslant 5$, which is endowed with a (torsion-free) affine connection $widetildeabla$ of recurrent curvature.
Zbigniew Olszak
doaj
KILLING INITIAL DATA ON TOTALLY UMBILICAL & COMPACT HYPERSURFACES
, 2009 20 pages, submitted january 2009.In this note, we give a geometric characterization of the compact and totally umbilical hypersurfaces that carry a non trivial locally static Killing Initial Data (KID).
Maerten, Daniel
core
On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes
, 2023 ct. We study some geometric aspects of the higher order mean curvatures (or, more simply, the so-called r-th mean curvatures) of a spacelike hypersurface immersed in a pp-wave spacetime, namely, in a connected Lorentzian manifold admitting a parallel ...
de Lacerda José H. H. +3 more
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Doubling of Asymptotically Flat Half-spaces and the Riemannian Penrose Inequality. [PDF]
Commun Math Phys, 2023 Eichmair M, Koerber T.
europepmc +1 more source
Characterization of hypersurfaces in four dimensional product spaces via two different Spin^c structures [PDF]
, 2019 The Riemannian product M1(c1)×M2(c2), where Mi(ci) denotes the 2-dimensional space form of constant sectional curvature ci ∈ R, has two different Spin c structures carrying each a parallel spinor.
Nakad, Roger, Roth, Julien
core
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2004 Let \(\widetilde{M}_n(c)\) be an \(n\)-dimensional nonflat complex space form of constant holomorphic curvature \(c\) which is either a complex projective space \(\mathbb{C}P^n(c)\) or a complex hyperbolic space \(\mathbb{C}H^n(c)\). It is known that there is no totally umbilic real hypersurface in \(\widetilde{M}_n(c)\), but there exist totally \(\eta\
Itoh, Takehiro, Maeda, Sadahiro
openaire +3 more sources
η-Umbilical hypersurfaces in P_2C and H_2C
, 2011 We characterize totally η-umbilical hypersurfaces in P_2C or H_2C by using the structure Jacobi operator or the Ricci ...
Kimura, Makoto, Cho, Jong Taek
core
On semiparallel and weyl-semiparallel hypersurfaces of kaehler manifolds
, 2009 We study on semiparallel and Weyl semiparallel Sasakian hypersurfaces of Kaehler manifolds. We prove that a (2n+1)-dimensional Sasakian hypersurface M of a (2n+2)-dimensional Kaehler manifold M2n+2 is semiparallel if and only if it is totally umbilical ...
Özgür, Cihan
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A remark on compact hypersurfaces with constant mean curvature in space forms
, 2016 . In this note we characterize compact hypersurfaces of dimension n ≥ 2 with constant mean curvature H immersed in space forms of constant curvature and satisfying an optimal integral pinching condition: they are either totally umbilical or, when n ≥ 3 ...
CATINO, GIOVANNI, Giovanni Catino
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Spacelike hypersurfaces with constant mean curvature in the steady state space [PDF]
, 2009 We consider complete spacelike hypersurfaces with constant mean curvature in the open region of de Sitter space known as the steady state space. We prove that if the hypersurface is bounded away from the infinity of the ambient space, then the mean ...
Albujer, Alma L., Alías, Luis J.
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