Results 81 to 90 of about 42,946 (260)

Min-max minimal hypersurface in $(M^{n+1}, g)$ with $Ric_{g}>0$ and $2\leq n\leq 6$ [PDF]

, 2012
In this paper, we study the shape of the min-max minimal hypersurface produced by Almgren-Pitts in \cite{A2}\cite{P} corresponding to the fundamental class of a Riemannian manifold $(M^{n+1}, g)$ of positive Ricci curvature with $2\leq n\leq 6$.
Xin Zhou
semanticscholar   +1 more source

On higher Jacobians, Laplace equations, and Lefschetz properties

Bulletin of the London Mathematical Society, EarlyView.
Abstract Let A$A$ be a standard graded Artinian K$\mathbb {K}$‐algebra over a field of characteristic zero. We prove that the failure of strong Lefschetz property (SLP) for A$A$ is equivalent to the osculating defect of a certain rational variety.
Charles Almeida, Aline V. Andrade, Rodrigo Gondim   +2 more
wiley   +1 more source

Isoparametric and Dupin Hypersurfaces

Symmetry, Integrability and Geometry: Methods and Applications, 2008
A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
doaj   +1 more source

Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold

Journal of Inequalities and Applications, 2018
Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
doaj   +1 more source

Height estimates and half-space theorems for hypersurfaces in product spaces of the type ℝ×Mn [PDF]

, 2021
Eudes L. de Lima, Henrique F. de Lima
openalex   +1 more source

Deformations of Dupin hypersurfaces [PDF]

Proceedings of the American Mathematical Society, 1989
Examples are given of compact proper-Dupin hypersurfaces that are not Lie equivalent to an isoparametric hypersurface.
Pinkall, Ulrich, Thorbergsson, Gudlaugur
openaire   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, EarlyView.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

Geodesic webs of hypersurfaces [PDF]

Doklady Mathematics, 2009
11 pages, in ...
Lychagin, Valentin V., Goldberg, Vladislav V.   +1 more
openaire   +4 more sources

Dimer models and conformal structures

Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.
Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala, Erik Duse, István Prause, Xiao Zhong   +3 more
wiley   +1 more source

On a property of W4 -manifolds

Дифференциальная геометрия многообразий фигур, 2020
The properties of almost Hermitian manifolds belonging to the Gray — Hervella class W4 are considered. The almost Hermitian manifolds of this class were studied by such outstanding geometers like Alfred Gray, Izu Vaisman, and Vadim Feodorovich Kirichenko.
M.B. Banaru
doaj   +1 more source