Results 51 to 60 of about 17,898 (118)
New Characterizations of Hyperspheres and Spherical Hypercylinders in Euclidean Space
Journal of Mathematics, Volume 2024, Issue 1, 2024.Let x be an isometric immersion of a Riemannian n‐manifold M into a Euclidean (n + 1)‐space En+1 which does not pass through the origin of En+1. Then, the tangential part of the position vector field x of x is called the canonical vector field, and the normal part gives rise to a scalar function called the support function.
Nasser Bin Turki +3 more
wiley +1 more source
Killing initial data on totally umbilical & compact hypersurfaces
Journal of Geometry and Physics, 2010 20 pages, submitted january ...
openaire +3 more sources
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 +3 more
wiley +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
Real hypersurface of a complex space form
, 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.
H. Nagaraja, S. Shashidar
semanticscholar +1 more source
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
Doubling of Asymptotically Flat Half-spaces and the Riemannian Penrose Inequality. [PDF]
Commun Math Phys, 2023 Eichmair M, Koerber T.
europepmc +1 more source
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
Totally contact umbilical lightlike hypersurfaces of indefinite Sasakian manifolds
Kodai Mathematical Journal, 2008 This paper investigates totally contact umbilical lightlike hypersurfaces which are tangent to the structure vector field. Theorems on Killing distributions, geodesibility of lightlike hypersurfaces are obtained. The geometrical configuration of such lightlike hypersurfaces and its screen distributions are established.
openaire +2 more sources
Journal of Nonlinear Mathematical PhysicsThis paper investigates Ricci solitons on Riemannian hypersurfaces in both Riemannian and Lorentzian manifolds. We provide conditions under which a Riemannian hypersurface, exhibiting specific properties related to a closed conformal vector field of the ...
Norah Alshehri, M. Guediri
semanticscholar +1 more source