Results 31 to 40 of about 1,716 (234)

Characterizing Spheres in ℂ2 by Their Levi Curvature: A Result à la Jellett

Bruno Pini Mathematical Analysis Seminar, 2017
We investigate rigidity problems for a class of real hypersurfaces in ℂ2 with constant Levi curvature. We present a recent result obtained in A Jellett type theorem for the Levi curvature (2017) in collaboration with V.
Giulio Tralli
doaj   +1 more source

Hypersurfaces in the general inner product spaces [PDF]

Journal of Hyperstructures, 2017
Let A be a symmetric positive definite (n+ 1)×(n+ 1) real matrix for n ≥ 1 and S ∈ R n+1 be a hypersurface. We are supposed to determine the tangent space TpS in an arbitrary point p ∈ S in the case that the whole space R n+1 admits the inner product ...
Ali Parsian
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

On $ {{\rm{ \mathsf{ λ}}} } $-biharmonic hypersurfaces in $ {{L}}^{{m}}\times \mathbb{R} $

Electronic Research Archive
This paper investigated $ \lambda $-biharmonic hypersurfaces in $ {L}^{m}\times \mathbb{R} $, where $ {L}^{m} $ represents an Einstein space, and $ \mathbb{R} $ denotes the real line. We demonstrated that such hypersurfaces with some curvature conditions
Jiarui Chen, Zhen Zhao, Chao Yang
doaj   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥-recurrent second fundamental tensor

International Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
doaj   +1 more source

A Characterization of Ruled Real Hypersurfaces in Non-Flat Complex Space Forms

Mathematics, 2020
The Levi-Civita connection and the k-th generalized Tanaka-Webster connection are defined on a real hypersurface M in a non-flat complex space form.
George Kaimakamis, Konstantina Panagiotidou, Juan de Dios Pérez   +2 more
doaj   +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

The Shape Operator of Real Hypersurfaces in S⁶(1)

Mathematics
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally,
Djordje Kocić, Miroslava Antić
doaj   +1 more source

Real Hypersurfaces in complex hyperbolic two-plane Grassmannians with commuting shape operator

Open Mathematics, 2015
In this paper we prove a non-existence of real hypersurfaces in complex hyperbolic two-plane Grassmannians SU2.m/S(U2·Um), m≥3, whose structure tensors {ɸi}i=1,2,3 commute with the shape operator.
de Dios Pérez Juan, Suh Young Jin, Woo Changhwa   +2 more
doaj   +1 more source

Real mirror symmetry for one-parameter hypersurfaces [PDF]

Journal of High Energy Physics, 2008
We study open string mirror symmetry for one-parameter Calabi-Yau hypersurfaces in weighted projective space. We identify mirror pairs of D-brane configurations, derive the corresponding inhomogeneous Picard-Fuchs equations, and solve for the domainwall tensions as analytic functions over moduli space.
Krefl, Daniel, Walcher, Johannes
openaire   +2 more sources