Laplacian comparison for Alexandrov spaces

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We consider an infinitesimal version of the Bishop-Gromov relative volume comparison condition as generalized notion of Ricci curvature bounded below for Alexandrov spaces. We prove a Laplacian comparison theorem for Alexandrov spaces under the condition. As an application we prove a topological splitting theorem.
30 pages, 1 figure

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Differential Geometry, Metric Geometry, 53C20; 53C21; 53C23

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http://salesiana.dossiersoluciones.com/handle/123456789/137425

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.0788
 http://arxiv.org/abs/0709.0788

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arXiv