Results 111 to 120 of about 10,016 (227)

Laplacian Conditions and Sphericity of Hypersurfaces in the Nearly Kähler 6-Sphere

Mathematics
In this paper, we investigate hypersurfaces in the nearly Kähler 6-sphere S6 and establish several foundational results. In particular, under certain conditions of the function ξ(f)=g(∇f,ξ), we demonstrate that a hypersurface M of S6 must be a sphere ...
Ibrahim Al-Dayel
doaj   +1 more source

On the Zeta Function of a Hypersurface: II [PDF]

The Annals of Mathematics, 1962
The author continues his strikingly original work on the zeta function of an algebraic variety defined over a finite field. Here he considers a nonsingular hypersurface \(H\) of degree \(d\) in projective \(n\)-space over the field \(k=GF(q)\). The Weil conjectures predict that its zeta function has the form \[ \zeta(H,t)=P(t)^{(-1)^n}/\prod_0^{n-1}(1 ...
openaire   +1 more source

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

Real hypersurfaces in Kähler manifolds

, 2018
We consider real hypersurfaces of compact Kähler manifolds and show that real hypersurfaces of Kähler manifolds induced by Morse functions have contact structures.
조용승
core   +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

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

Hypersurface Arrangements with Generic Hypersurfaces Added

19 pages, 3 figures, 2 ...
Reinke, Bernhard, Wang, Kexin
openaire   +2 more sources

Transformations for hypersurfaces with vanishing . . . [PDF]

, 2005
We provide a method of constructing families of hypersurfaces of a space form with zero Gauss-Kronecker curvature, from a given such hypersurface, based on Ribaucour transformations.
W Ferreira, K Tenenblat, A V Corro
core  

Evolution of Tzitzeica hypersurfaces

Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2018
Our aim is to study the evolutions of Tzitzeica hypersurfaces which appear in understanding the dynamics of some geometric programming problems and reliability optimal allocation problems.
Constantin Udriste, Ionel Tevy, Ali Sapeeh Rasheed   +2 more
doaj   +1 more source

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

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