Results 21 to 30 of about 68 (68)

Contractibility of boundaries of cocompact convex sets and embeddings of limit sets

Analysis and Geometry in Metric Spaces
We provide sufficient conditions as to when a boundary component of a cocompact convex set in a CAT(0){\rm{CAT}}\left(0)-space is contractible. We then use this to study when the limit set of a quasi-convex, codimension one subgroup of a negatively ...
Bregman Corey, Incerti-Medici Merlin
doaj   +1 more source

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Analysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source

Resolvent Flows for Convex Functionals and p-Harmonic Maps

Analysis and Geometry in Metric Spaces, 2015
We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such ...
Kuwae Kazuhiro
doaj   +1 more source

A simplified Proof of the Hopf Conjecture

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The use of the barycentre map between two copies of ℝn , the first one with a metric without conjugate points, the second one with the canonical flat metric, allows to prove in a simplified way the fact that Riemannian tori without conjugate points are ...
Sabatini Luca
doaj   +1 more source

Isoperimetric problems and lower bounds on curvature

Analysis and Geometry in Metric Spaces
This note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry (Granada, July ...
Antonelli Gioacchino
doaj   +1 more source

Convergence rate of the weighted conformal mean curvature flow

Analysis and Geometry in Metric Spaces
In this article, we study the convergence rate of the following Yamabe-type flow Rϕ(t)m=0inMand∂∂tg(t)=2(hϕ(t)m−Hϕ(t)m)g(t)∂∂tϕ(t)=m(Hϕ(t)m−hϕ(t)m)on∂M{R}_{\phi \left(t)}^{m}=0\hspace{0.33em}\hspace{0.1em}\text{in}\hspace{0.1em}\hspace{0.33em}M\hspace ...
Hamanaka Shota, Tung Ho Pak
doaj   +1 more source

Almost-Riemannian manifolds do not satisfy the curvature-dimension condition. [PDF]

Calc Var Partial Differ Equ, 2023
Magnabosco M, Rossi T.
europepmc   +1 more source

On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth. [PDF]

Calc Var Partial Differ Equ, 2022
Antonelli G, Bruè E, Fogagnolo M, Pozzetta M.   +3 more
europepmc   +1 more source

Worm Domains are not Gromov Hyperbolic. [PDF]

J Geom Anal, 2023
Arosio L, Dall'Ara GM, Fiacchi M.
europepmc   +1 more source

Null Distance and Convergence of Lorentzian Length Spaces. [PDF]

Ann Henri Poincare, 2022
Kunzinger M, Steinbauer R.
europepmc   +1 more source