Results 101 to 110 of about 13,708 (218)

Singularities of Null Hypersurfaces of Pseudonull Curves

Journal of Function Spaces, 2015
The main goal of this paper is to study the singularities of null hypersurfaces of pseudonull curves. To do this we construct a null frame and a Lorentz distance-squared function of the pseudonull curve.
Xiupeng Cui, Donghe Pei
doaj   +1 more source

Geometry of hypersurfaces

, 2015
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf ...
Cecil, Thomas E, Ryan, Patrick J
core   +1 more source

A new characterization of $r$-stable hypersurfaces in space forms [PDF]

, 2011
summary:In this paper we study the $r$-stability of closed hypersurfaces with constant $r$-th mean curvature in Riemannian manifolds of constant sectional curvature.
de Lima, H. F., Velásquez, M. A., Ma, Bingqing, Huang, Guangyue   +3 more
core   +1 more source

Computing arrangements of hypersurfaces

Journal of Software for Algebra and Geometry
We present a Julia package HypersurfaceRegions.jl for computing all connected components in the complement of an arrangement of real algebraic hypersurfaces in $\mathbb{R}^n$.
Paul Breiding, Bernd Sturmfels, Kexin Wang   +2 more
openaire   +2 more sources

Commuting Conditions of the k-th Cho operator with the structure Jacobi operator of real hypersurfaces in complex space forms

Open Mathematics, 2015
In this paper three dimensional real hypersurfaces in non-flat complex space forms whose k-th Cho operator with respect to the structure vector field ξ commutes with the structure Jacobi operator are classified.
Panagiotidou Konstantina, Pérez Juan de Dios   +1 more
doaj   +1 more source

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

Rationality of Hypersurfaces

Volume 3: Invited Lectures: Sections 1-4
We survey recent developments on rationality problems for algebraic varieties, with a particular emphasis on cycle-theoretic and combinatorial methods and their applications to hypersurfaces.
openaire   +2 more sources

Almost-toric hypersurfaces [PDF]

Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2015
12 pages, 2 ...
openaire   +2 more sources

Homologie des T-Hypersurfaces

, 2023
Our main focus is the topology, especially the homology, of T-hypersurfaces. These topological spaces, combinatorial in nature, are a generalisation of O. Viro’s combinatorial patchworks.
Chenal, Jules
core   +2 more sources