Age Of Mythology Dublado PT-BR No Survey No Password 2019
Age Of Mythology Dublado PT-BR No Survey No Password 2019
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abstract: ‘A closed Riemannian manifold $M$ is said to be $K$-convex provided that for any $x,y \in M$ there exists a unique minimal geodesic $\gamma_{xy}$ such that $c\le d_M(\gamma_{xy}(0),\gamma_{xy}(c))\le\frac{1}{K}c$ for some positive constant $c$. (A manifold is said to be $K$-convex if $K=\infty$.) The main purpose of this article is to show that any closed $K$-convex manifold is complete with a harmonic and a weakly complete almost Kähler metric. Since these results can be viewed as complement of the ones proved in [@Kab] for noncompact $K$-convex manifolds, we have another proof of the uniqueness of the Riemannian distance on noncompact complete $K$-convex manifolds.’
author:
– Daiki KABUEDA
date:
title: |
Complete noncompact $K$-convex manifolds\
with harmonic and weakly complete almost Kähler metrics
—
5 pt
.5 cm
[Department of Mathematics and Information Sciences,\
Tokyo Metropolitan University,\
1-1 Minami-Osawa, Hachioji, Tokyo 192-0397, Japan\
[*E-mail address*]{} :[kab@math.metro-u.ac.jp]{}]{}
2010 Mathematics Subject Classification. Primary 53C15; Secondary 58C15.
Key words and phrases. Rigidity problem, non-negatively curved manifold, harmonic and weakly complete metric, complete Riemannian manifold, almost Hermitian geometry
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