Results 81 to 90 of about 2,699,199 (290)

Geometry of Manifolds and Applications

Mathematics
This editorial presents 24 research articles published in the Special Issue entitled Geometry of Manifolds and Applications of the MDPI Mathematics journal, which covers a wide range of topics from the geometry of (pseudo-)Riemannian manifolds and their ...
Adara M. Blaga
doaj   +1 more source

Total curvature of curves in Riemannian manifolds

Differential Geometry and its Applications, 2010
The total curvature of C2 curves embedded in an arbitrary Riemannian manifold is shown to be the limit of the curvatures of inscribed geodesic polygons. The formula for the total curvature of a curve as the least upper bound of curvatures of inscribed geodesic polygons holds for a manifold of non-positive sectional curvature only.
V. Fernández Mateos, J. Muñoz Masqué, M. Castrillón López   +2 more
openaire   +2 more sources

Dynamically Encircling Multiple Exceptional Points in Waveguides System: Asymmetric–symmetric Multimode Switching

Advanced Physics Research, Volume 4, Issue 4, April 2025.
A four‐state non‐Hermitian waveguide system possessing two EPs is proposed to study dynamical encircling one and two EPs, possessing both chiral and non‐chiral dynamics. When the initial states are not on the Riemann sheet that forms the EPs, encircling both EPs produces more NATs and branch cuts than encircling single EP.
Xiaoxiao Wang, Huixin Qi, Yandong Li, Xiaoyong Hu, Xingyuan Wang, Qihuang Gong   +5 more
wiley   +1 more source

On eta-Einstein N(k)-contact metric manifolds

Boletim da Sociedade Paranaense de Matemática, 2022
The aim of this paper is to characterize eta-Einstein N(k)-contact metric manifolds admits eta-Ricci soliton. Several consequences of this result are discussed.
Sunil Kumar Yadav, Xiaomin Chen
doaj   +1 more source

Ricci curvatures of contact Riemannian manifolds [PDF]

Tohoku Mathematical Journal, 1988
Soit (M, η,g) une variete de Riemann de contact de courbure φ-sectionnelle constante H. Alors les courbures de Ricci satisfont Ric(X,X)+Ric(φX, φX)≤3n−1+(n+1)H pour chaque vecteur unite X∈T x M x∈M, tels que η(X)=0. L'egalite est vraie pour tout x∈M et pour un vecteur unite X∈T x M tel que η(X)=0, si et seulement si (M, η, g) est ...
openaire   +2 more sources

Foundations of Ghost Stability

Fortschritte der Physik, Volume 73, Issue 4, April 2025.
Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez, Jordi Gaset Rifà, Georgina Staudt   +2 more
wiley   +1 more source

Sharp Moser–Trudinger inequalities on Riemannian manifolds with negative curvature [PDF]

Annali di Matematica Pura ed Applicata, 2015
Let M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$M$$\end{document ...
Qiaohua Yang, Dan Su, Yinying Kong
semanticscholar   +1 more source

Riemannian Submersions Need Not Preserve Positive Ricci Curvature [PDF]

arXiv, 2012
If $\pi :M\rightarrow B$ is a Riemannian Submersion and $M$ has positive sectional curvature, O'Neill's Horizontal Curvature Equation shows that $B$ must also have positive curvature. We show there are Riemannian submersions from compact manifolds with positive Ricci curvature to manifolds that have small neighborhoods of (arbitrarily) negative Ricci ...
arxiv  

Relative cubulation of relative strict hyperbolization

Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.
Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
wiley   +1 more source

Bifurcation results for the Yamabe problem on Riemannian manifolds with boundary [PDF]

arXiv, 2017
We consider the product of a compact Riemannian manifold without boundary and null scalar curvature with a compact Riemannian manifold with boundary, null scalar curvature and constant mean curvature on the boundary. We use bifurcation theory to prove the existence of a infinite number of conformal classes with at least two non-homothetic Riemannian ...
arxiv