Results 61 to 70 of about 179 (133)

Extrinsic circular trajectories on totally η-umbilic real hypersurfaces in a complex hyperbolic space [PDF]

open access: yesKodai Mathematical Journal, 2016
A trajectory for a Sasakian magnetic field, which is a generalization of geodesics, on a real hypersurface in a complex hyperbolic space CHn is said to be extrinsic circular if it can be regarded as a circle as a curve in CHn. We study how the moduli space of extrinsic circular trajectories, which is the set of their congruence classes, on a totally η ...
Bao, Tuya, Adachi, Toshiaki
openaire   +2 more sources

Space-like hypersurfaces with constant scalar curvature in the de Sitter spaces

open access: yes, 1996
This paper gives intrinsic conditions for a compact spacelike hypersurface in a de Sitter space to be totally ...
Yongfan, Zheng, Zheng Yongfan
core   +1 more source

Rigidity theorems for complete spacelike hypersurfaces with constant scalar curvature in De Sitter space

open access: yes, 2008
In this paper we give a partially affirmative answer to the following question posed by Haizhong Li: is a complete spacelike hypersurface in De Sitter space S1n+1(c), n⩾3, with constant normalized scalar curvature R satisfying n−2nc⩽R⩽c totally ...
R.M.B. Chaves   +5 more
core   +2 more sources

On non-invariant hypersurfaces of a nearly hyperbolic Sasakian manifold

open access: yes, 2017
We consider a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure and study non-invariant hypersurface of a nearly hyperbolic Sasakian manifold equipped with [Formula: see text]-structure.
Mobin Ahmad   +2 more
core   +1 more source

Results of Hyperbolic Ricci Solitons

open access: yes, 2023
We obtain some properties of a hyperbolic Ricci soliton with certain types of potential vector fields, and we point out some conditions when it reduces to a trivial Ricci soliton.
Adara M. Blaga, Cihan Özgür
core   +1 more source

Характеристика тотально омбiлiчних гiперповерхонь просторової форми за допомогою геодезичних вiдображень

open access: yes, 2013
The idea of considering the second fundamental form of a hypersurface as the first fundamental form of another hypersurface has found very useful applications in Riemannian and semi-Riemannian geometry, especially when trying to characterize extrinsic ...
Özdeğer, A., Canfes, E.Ö.
core   +2 more sources

On nondegenerate umbilical affine hypersurfaces in recurrent affine manifolds

open access: yesAnnales 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  

On the higher order mean curvatures of spacelike hypersurfaces in pp-wave spacetimes

open access: yes, 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
core   +1 more source

On Semiparallel and Weyl-semiparallel Hypersurfaces of Kaehler Manifolds

open access: yes, 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
Kadri Arslan   +5 more
core   +2 more sources

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