Results 21 to 30 of about 348 (50)

Some remarks on the simplicial volume of nonpositively curved manifolds

, 2019
We show that any closed manifold with a metric of nonpositive curvature that admits either a single point rank condition or a single point curvature condition has positive simplicial volume.
Connell, Chris, Wang, Shi
core   +1 more source

Filling area conjecture and ovalless real hyperelliptic surfaces

, 2004
We prove the filling area conjecture in the hyperelliptic case. In particular, we establish the conjecture for all genus 1 fillings of the circle, extending P. Pu's result in genus 0.
Bangert, Victor, Croke, Christopher, Ivanov, Sergei V., Katz, Mikhail G.   +3 more
core   +3 more sources

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

A parametrized compactness theorem under bounded Ricci curvature

, 2017
We prove a parametrized compactness theorem on manifolds of bounded Ricci curvature, upper bounded diameter and lower bounded injectivity radius.Comment: 17 pages. Final version to appear in Front. Math. China. Reformulation of Theorem B to Corollary 1,
Li, Xiang, Xu, Shicheng
core   +1 more source

The simplicial volume of hyperbolic manifolds with geodesic boundary

, 2009
Let n>2 and let M be an orientable complete finite volume hyperbolic n-manifold with (possibly empty) geodesic boundary having Riemannian volume vol(M) and simplicial volume ||M||.
Frigerio, Roberto, Pagliantini, Cristina
core   +1 more source

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

Worm Domains are not Gromov Hyperbolic. [PDF]

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

Time Functions on Lorentzian Length Spaces. [PDF]

Ann Henri Poincare
Burtscher A, García-Heveling L.
europepmc   +1 more source

Metric geometry of spaces of persistence diagrams. [PDF]

J Appl Comput Topol
Che M, Galaz-García F, Guijarro L, Membrillo Solis IA.   +3 more
europepmc   +1 more source

Gluing constructions for Lorentzian length spaces. [PDF]

Manuscr Math
Beran T, Rott F.
europepmc   +1 more source