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Optimal Riemannian metric for a volumorphism and a mean ergodic theorem in complete global Alexandrov nonpositively curved spaces
Optimal Riemannian metric volumorphism mean ergodic theorem complete global Alexandrov nonpositively curved spaces Differential Geometry
2012/6/15
In this paper we give a natural condition for when a volumorphism on a Riemannian manifold $(M,g)$ is actually an isometry with respect to some other, optimal, Riemannian metric $h$. We consider the n...
Alexandrov meets Kirszbraun
Alexandrov Kirszbraun
2011/2/28
In this paper, we establish a Bochner type formula on Alexandrov spaces with Ricci curvature
bounded below. Yau’s gradient estimates for harmonic functions is also obtained on Alexandrov
spaces.