Results 1 to 10 of about 93 (74)

Totally umbilical hypersurfaces of product spaces [PDF]

Manuscripta Mathematica, 2021
Given a Riemannian manifold $M,$ and an open interval $I\subset\mathbb{R},$ we characterize nontrivial totally umbilical hypersurfaces of the product $M\times I$ -- as well as of warped products $I\times_ωM$ -- as those which are local graphs built on isoparametric families of totally umbilical hypersurfaces of $M.$ By means of this characterization ...
R F de Lima, João Paulo Dos Santos
exaly   +3 more sources

Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds [PDF]

Journal of Mathematics, 2013
We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.
Rachna Rani, Rakesh Kumar, R. K. Nagaich
doaj   +2 more sources

LIGHTLIKE REAL HYPERSURFACES WITH TOTALLY UMBILICAL SCREEN DISTRIBUTIONS [PDF]

Communications of the Korean Mathematical Society, 2010
The author studies the geometry of lightlike real hypersurfaces of an indefinite Kähler manifold. The main result is a characterization theorem for lightlike real hypersurfaces \(M\) of an indefinite complex space form \(\overline M(c)\) such that the screen distribution is totally umbilic.
Dae-Ho Jin
exaly   +2 more sources

NOTES ON MANIFOLDS ADMITTING TOTALLY UMBILICAL HYPERSURFACES

Demonstratio Mathematica, 1987
Let N be either a conformally recurrent manifold [see \textit{T. Adati} and \textit{T. Miyazawa}, Tensor, New Ser. 18, 335-342 (1967; Zbl 0152.391)] or a conformally birecurrent manifold [see \textit{C. D. Collinson} and \textit{F. Söler} [ibid. 27, 37-40 (1973; Zbl 0251.53039)], i.e.
Ryszard Deszcz
exaly   +3 more sources

A characterization of totally η-umbilical real hypersurfaces and ruled real hypersurfaces of a complex space form [PDF]

Czechoslovak Mathematical Journal, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mayuko Kon
exaly   +3 more sources

On quasi-Sasakian structure on a totally umbilical hypersurface of a six-dimensional Hermitian planar submanifold of Cayley algebra

Дифференциальная геометрия многообразий фигур, 2022
Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
doaj   +2 more sources

Totally Umbilical Hypersurfaces of Lorentzian Reducible Spaces

Journal of Geometric Analysis
Abstract We investigate totally umbilical hypersurfaces in Lorentzian reducible spaces, focusing on their classification and geometric properties. We explore conditions for the existence of proper totally umbilical hypersurfaces in a $$(n+1)$$ (
Giovanni Calvaruso, Lorenzo Pellegrino, Calvaruso Giovanni   +2 more
exaly   +2 more sources

A characterization of totally umbilical hypersurfaces of a space form by geodesic mapping [PDF]

Ukrainian Mathematical Journal, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Canfes, Elif Ozkara, Özdeğer, Abdülkadir   +1 more
exaly   +3 more sources

Killing initial data on totally umbilical & compact hypersurfaces

Journal of Geometry and Physics, 2010
20 pages, submitted january ...
exaly   +4 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.
Fortune Massamba
exaly   +3 more sources