Results 61 to 70 of about 207 (126)

Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field

International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.
In this study, we utilize the support function θ and the tangential component ψT of the position vector field ψ to investigate certain properties of spheres on a compact hypersurface in Euclidean space Rn+1. The first characterization expands upon existing results in the literature by removing constraints on the tangential component ψT and employing ...
Mona Bin-Asfour, Kholoud Saad Albalawi, Mohammed Guediri, Nawab Hussain   +3 more
wiley   +1 more source

Non-Umbilical Quaternionic Contact Hypersurfaces in Hyper-Kähler Manifolds

, 2017
It is shown that any compact quaternionic contact (qc) hypersurfaces in a hyper-Kähler manifold which is not totally umbilical has an induced qc structure, locally qc homothetic to the standard 3-Sasakian sphere.
Dimiter Vassilev, Stefan Ivanov, Ivan Minchev   +2 more
core   +1 more source

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

Kodai 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

Compact space-like hypersurfaces in de Sitter space [PDF]

, 2005
We present some integral formulas for compact space-like hypersurfaces in de Sitter space and some equivalent characterizations for totally umbilical compact space-like hypersur-faces in de Sitter space in terms of mean curvature and higher-order mean ...
Jinchi Lv, Jinchi Lv
core   +1 more source

Conformal Vector Fields and Null Hypersurfaces [PDF]

, 2022
We give conditions for a conformal vector field to be tangent to a null hypersurface. We particularize to two important cases: a Killing vector field and a closed and conformal vector field.
Olea, Benjamín, Atindogbé, Cyriaque
core   +1 more source

Gradient Ricci Solitons on Spacelike Hypersurfaces of Lorentzian Manifolds Admitting a Closed Conformal Timelike Vector Field

Mathematics
In this article, we investigate Ricci solitons occurring on spacelike hypersurfaces of Einstein Lorentzian manifolds. We give the necessary and sufficient conditions for a spacelike hypersurface of a Lorentzian manifold, equipped with a closed conformal ...
Norah Alshehri, Mohammed Guediri
doaj   +1 more source

On extrinsically symmetric hypersurfaces of ℍ n×ℝ

, 2010
Totally umbilical, semi-parallel and parallel hypersurfaces of ℍn×ℝ are completely classified.
Veken, Joeri Van Der, Kowalczyk, D, JOERI VAN DER VEKEN, GIOVANNI CALVARUSO, Calvaruso, Giovanni, DANIEL KOWALCZYK   +5 more
core   +1 more source

On Pseudo Cyclic Ricci Symmetric Manifolds

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2011
: The object of the present paper is to study concircularly symmetric (PCRS)n, concircularly recurrent (PCRS)n, decomposable (PCRS)n. Among others it is shown that in a decomposable (PCRS)n one of the decompositions is Ricci flat and the other ...
Shyamal Hui
doaj  

On spacelike hypersurfaces with constant scalar curvature in locally symmetric Lorentz spaces

, 2010
The purpose of this paper is to study compact or complete spacelike hypersurfaces with constant normalized scalar curvature in a locally symmetric Lorentz space satisfying some curvature conditions.
Sun, Zhongyang, Liu, Jiancheng
core   +1 more source

Lightlike Geometry of Leaves in Indefinite Kenmotsu Manifolds

Cubo, 2011
In this paper, we study some aspects of the geometry of leaves of integrable distributions of lightlike hypersurfaces in indefinite Kenmotsu manifolds, tangent to the structure vector field.
Fortuné Massamba
doaj