Results 71 to 80 of about 10,016 (227)

Minimization of hypersurfaces

open access: yesMathematics of Computation
Let F ∈ Z
Andreas-Stephan Elsenhans, Michael Stoll
openaire   +2 more sources

Biharmonic hypersurfaces in the standard Lorentz 5-pseudosphere [PDF]

open access: yesJournal of Mahani Mathematical Research
In this manuscript, we study the Lorentz hypersurfaces of the Lorentz 5-pseudosphere (i.e. the pseudo-Euclidean 5-sphere) $S^5_1$ having three distinct principal curvatures.
Ghorbanali Haghighatdoos   +3 more
doaj   +1 more source

Background Instability of Quintessence Model in Light of Entropy and Distance Conjecture

open access: yesFortschritte der Physik, Volume 74, Issue 6, June 2026.
ABSTRACT We apply the covariant entropy bound argument supporting the de Sitter swampland conjecture to the quintessence model, to find out the condition for the background to be unstable. More concretely, the background is unstable when the matter entropy given by the species number of the effective field theory increases more rapidly than the ...
Min‐Seok Seo
wiley   +1 more source

Some structure theorems for Weingarten surfaces

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Let M⊂R3$M\subset \mathbb {R}^3$ be a properly embedded, connected, complete surface with boundary a convex planar curve C$C$, satisfying an elliptic equation H=f(H2−K)$H=f(H^2-K)$, where H$H$ and K$K$ are the mean and the Gauss curvature, respectively—which we will refer to as Weingarten equation.
Angelo Benedetti
wiley   +1 more source

Singularities of null mean curvature flow of null hypersurfaces in Lorentzian manifolds

open access: yes, 2019
We classify two main singularities, as type I and type II, associated with null mean curvature flow of screen conformal null hypersurfaces in Lorentzian manifolds.
Ssekajja, Samuel
core   +1 more source

Integral formulas for closed spacelike hypersurfaces in anti-de Sitter space $H_1^{n+1}(-1)$ [PDF]

open access: yes, 2007
summary:In this paper, we study closed $k$-maximal spacelike hypersurfaces $M^n$ in anti-de Sitter space $H_1^{n+1}(-1)$ with two distinct principal curvatures and give some integral formulas about these ...
Liu, Qiuli   +3 more
core   +1 more source

The singularity category and duality for complete intersection groups

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract If G$G$ is a finite group, the structure of the modular representation theory depends on the cochains C∗(BG;k)$C^*(BG; k)$, viewed as a commutative ring spectrum. We consider here its singularity category (in the sense of the author and Stevenson [Adv. Math.
J. P. C. Greenlees
wiley   +1 more source

On the Milnor fibres of initial forms of topologically equivalent holomorphic functions

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Budur, Fernández de Bobadilla, Le, and Nguyen in 2022 conjectured that if two germs of holomorphic functions are topologically equivalent, then the Milnor fibres of their initial forms are homotopy equivalent. In this paper, we give an affirmative answer to this conjecture in the case of plane curves.
José Edson Sampaio
wiley   +1 more source

The length of the second fundamental form, a tangency principle and applications

open access: yesAnais da Academia Brasileira de Ciências, 2004
In this paper we prove a tangency principle (see Fontenele and Silva 2001) related with the length of the second fundamental form, for hypersurfaces of an arbitrary ambient space.
Francisco X. Fontenele, Sérgio L. Silva
doaj   +1 more source

Maximum number of zeroes of polynomials on weighted projective spaces over a finite field

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract We compute the maximum number of rational points at which a homogeneous polynomial can vanish on a weighted projective space over a finite field, provided that the first weight is equal to 1. This solves a conjecture by Aubry, Castryck, Ghorpade, Lachaud, O'Sullivan and Ram, which stated that a Serre‐like bound holds with equality for weighted
Jade Nardi, Rodrigo San‐José
wiley   +1 more source

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