Results 11 to 20 of about 87 (78)
The topology of balls and Gromov hyperbolicity of Riemann surfaces [PDF]
, 2004 19 pages, no figures.-- MSC2000 codes: 30F20, 30F45, 53C23.MR#: MR2091367 (2005e:53057)Zbl#: Zbl 1070.30019We prove that every ball in any non-exceptional Riemann surface with radius less or equal than $\frac 1 2\log 3$ is either simply or doubly ...
Tourís, Eva +4 more
core +1 more source
On the structure of Riemannian manifolds of almost nonnegative Ricci curvature
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 39, Page 2085-2090, 2004., 2004 We study the structure of manifolds with almost nonnegative Ricci curvature. We prove a compact Riemannian manifold with bounded curvature, diameter bounded from above, and Ricci curvature bounded from below by an almost nonnegative real number such that the first Betti number havingcodimension two is an infranilmanifold or a finite cover is a sphere ...
Gabjin Yun
wiley +1 more source
Quasihomogeneous analytic affine connections on surfaces [PDF]
, 2013 53A15; 53C23; 57S99International audienceWe classify torsion-free real-analytic affine connections on compact oriented real-analytic surfaces which are locally homogeneous on a nontrivial open set, without being locally homogeneous on all of the surface.
Guillot, Adolfo, Dumitrescu, Sorin
core +1 more source
A non-geodesic analogue of Reshetnyak’s majorization theorem
Analysis and Geometry in Metric Spaces, 2023 For any real number κ\kappa and any integer n≥4n\ge 4, the Cycln(κ){{\rm{Cycl}}}_{n}\left(\kappa ) condition introduced by Gromov (CAT(κ)-spaces: construction and concentration, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 280 (2001)
Toyoda Tetsu
doaj +1 more source
Concentration of Product Spaces
Analysis and Geometry in Metric Spaces, 2021 We investigate the relation between the concentration and the product of metric measure spaces. We have the natural question whether, for two concentrating sequences of metric measure spaces, the sequence of their product spaces also concentrates.
Kazukawa Daisuke
doaj +1 more source
Comparative Gromov hyperbolicity results for the hyperbolic and quasiyperbolic metrics [PDF]
, 2010 9 pages, 1 figure.-- MSC2000 codes: 30F45; 53C23; 30C99.-- Dedicated to Professor Andreian Cazacu on the occasion of her 80th birthday.In this article, we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the ...
Tourís, Eva +3 more
core +1 more source
On Weak Super Ricci Flow through Neckpinch
Analysis and Geometry in Metric Spaces, 2021 In this article, we study the Ricci flow neckpinch in the context of metric measure spaces. We introduce the notion of a Ricci flow metric measure spacetime and of a weak (refined) super Ricci flow associated to convex cost functions (cost functions ...
Lakzian Sajjad, Munn Michael
doaj +1 more source
Gromov Hyperbolicity of the Kobayashi Metric [PDF]
, 2019 In this paper we discuss the global geometry of the Kobayashi metric on domains in C^n. We gather all known results. We pay special attention to methods which distroy the hyperbolicity.
Nikolov, Nikolai +2 more
core +1 more source
Gromov hyperbolicity of Denjoy domains with hyperbolic and quasihyperbolic metrics [PDF]
, 2008 15 pages, 2 figures.-- MSC2000 codes: 30F45, 53C23, 30C99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0097SubmittedWe derive explicit and simple conditions which in many cases allow one decide, whether or not a Denjoy domain endowed with ...
Tourís, Eva +4 more
core +2 more sources
Gromov hyperbolic equivalence of the hyperbolic and quasihyperbolic metrics in Denjoy domains [PDF]
, 2010 12 pages, no figures.-- MSC2000 codes: 30F45 (primary), 53C23, 30C99 (secondary).Article in press.In this article we investigate the Gromov hyperbolicity of Denjoy domains equipped with the hyperbolic or the quasihyperbolic metric.
Tourís, Eva +3 more
core +2 more sources