Results 31 to 40 of about 1,358 (218)

Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space

Journal of Inequalities and Applications, 2016
Let M be a complete minimal hypersurface in hyperbolic space H n + 1 ( − 1 ) $\mathbb {H}^{n+1}(-1)$ with constant sectional curvature −1. We prove that if M has a finite index and finite L 2 $L^{2}$ norm of the second fundamental form, then the ...
Keomkyo Seo
doaj   +1 more source

On minimal hypersurfaces of nonnegatively Ricci curved manifolds

International Journal of Mathematics and Mathematical Sciences, 1993
We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable hypersurface ∑ in M which satisfies some local minimizing property. We prove a structure theorem for M and a regularity theorem for ∑.
Yoe Itokawa
doaj   +1 more source

FANO HYPERSURFACES WITH ARBITRARILY LARGE DEGREES OF IRRATIONALITY

Forum of Mathematics, Sigma, 2020
We show that complex Fano hypersurfaces can have arbitrarily large degrees of irrationality. More precisely, if we fix a Fano index $e$, then the degree of irrationality of a very general complex Fano hypersurface of index $e$ and dimension n is bounded ...
NATHAN CHEN, DAVID STAPLETON
doaj   +1 more source

Stability of minimal hypersurfaces

Commentarii Mathematici Helvetici, 1991
Let \(M^ n\subset R^{n+1}\) be a complete orientable minimal hypersurface in the Euclidean space \(R^{n+1}\). For \(n=2\), it is known that if \(M^ 2\) is stable then it is a plane. The existence of nontrivial minimal graphs for \(n\geq7\) shows that there exist stable hypersurfaces that are homeomorphic to \(R^ n\) but are not hyperplanes.
openaire   +1 more source

Minimal surfaces and weak gravity

Journal of High Energy Physics, 2020
We show that the Weak Gravity Conjecture (WGC) implies a nontrivial upper bound on the volumes of the minimal-volume cycles in certain homology classes that admit no calibrated representatives.
Mehmet Demirtas, Cody Long, Liam McAllister, Mike Stillman   +3 more
doaj   +1 more source

Non-BPS black branes in M-theory over Calabi-Yau threefolds. (Non-)uniqueness and recombination of non-BPS black strings in single modulus CICY and THCY models

Journal of High Energy Physics, 2022
We study extremal solutions arising in M-theory compactifications on Calabi-Yau threefolds, focussing on non-BPS attractors for their importance in relation to the Weak Gravity Conjecture (WGC); M2 branes wrapped on two-cycles give rise to black holes ...
Alessio Marrani, Anshul Mishra, Prasanta K. Tripathy   +2 more
doaj   +1 more source

Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs

Communications on Pure and Applied Mathematics, EarlyView.
Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley   +1 more source

Dispersion‐Less Dissipative Soliton Fiber Laser

Laser &Photonics Reviews, EarlyView.
A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed, Aurélien Coillet, Philippe Grelu   +2 more
wiley   +1 more source

On the embedded Nash problem

Forum of Mathematics, Pi
The embedded Nash problem for a hypersurface in a smooth algebraic variety is to characterize geometrically the maximal irreducible families of arcs with fixed order of contact along the hypersurface.
Nero Budur, Javier de la Bodega, Eduardo de Lorenzo Poza, Javier Fernández de Bobadilla, Tomasz Pełka   +4 more
doaj   +1 more source

Vector bundles on bielliptic surfaces: Ulrich bundles and degree of irrationality

Mathematische Nachrichten, EarlyView.
Abstract This paper deals with two problems about vector bundles on bielliptic surfaces. The first is to give a classification of Ulrich bundles on such surfaces S$S$, which depends on the topological type of S$S$. In doing so, we study the weak Brill–Noether property for moduli spaces of sheaves with isotropic Mukai vector. Adapting an idea of Moretti
Edoardo Mason
wiley   +1 more source