Results 111 to 120 of about 13,708 (218)

Curvatures of the Factorable Hypersurface

Journal of Advances in Mathematics and Computer Science, 2020
The curvatures    of a factorable hypersurface are introduced in the four-dimensional Euclidean space. It is also given some relations on  of the factorable hypersurface.
openaire   +3 more sources

Scanning the moduli of smooth hypersurfaces

Forum of Mathematics, Sigma
We study the locus of smooth hypersurfaces inside the Hilbert scheme of a smooth projective complex variety. In the spirit of scanning, we construct a map to a continuous section space of a projective bundle, and show that it induces an isomorphism in ...
Alexis Aumonier
doaj   +1 more source

On Bernstein-Type Theorems in Semi-Riemannian Warped Products

Advances in Mathematical Physics, 2013
Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type ...
Wenjie Wang, Ximin Liu
doaj   +1 more source

Spherical tube hypersurfaces

, 2011
We examine Levi non-degenerate tube hypersurfaces in complex linear space which are "spherical," that is, locally CR-equivalent to the real hyperquadric. Spherical hypersurfaces are characterized by the condition of the vanishing of the CR-curvature form,
Alexander Isaev, Isaev, Alexander, Isaev, A.   +2 more
core   +1 more source

Global hypersurfaces of section for geodesic flows on convex hypersurfaces

Archiv der Mathematik
We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admits an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.
Sunghae Cho, Dongho Lee
openaire   +3 more sources

On Deformations of Nodal Hypersurfaces

, 2018
We extend the infinitesimal Torelli theorem for smooth hypersurfaces to nodal hypersurfaces.
Zhenjian Wang, Wang, Zhenjian
core   +1 more source

Some Types of Null Hypersurfaces

, 2019
In this article, we introduce and study three types of null hypersurfaces of a para-Sasakian manifold which are called re-current, Lie re-current and Hopf null hypersurfaces.
Acet, Bilal Eftal
core   +1 more source

Normal hypersurfaces [PDF]

Pacific Journal of Mathematics, 1975
openaire   +2 more sources

On the Normal Stability of Triharmonic Hypersurfaces in Space Forms. [PDF]

J Geom Anal, 2023
Branding V.
europepmc   +1 more source

Classification and Existence of f-Biharmonic Hypersurfaces in Nonpositively Curved Conformally Flat Spaces

Axioms
We first study the f-biharmonicity of totally umbilical hypersurfaces in a Riemannian manifold of dimension n≥3 and prove that any totally umbilical proper f-biharmonic hypersurface without boundaries in a nonpositively curved manifold must be noncompact.
Ze-Ping Wang, Li-Hua Qin, Xue-Yi Chen
doaj   +1 more source