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Session S23 - Group actions in Differential Geometry

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Spaces with Bounded Curvature

Andrés Ahumada Gómez

Universidad Nacional Autónoma de México, México   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

In this talk we will discuss metric spaces with upper and lower curvature bounds (in the sense of A. D. Aleksandrov). We will present a riemannian structure developed by V. N. Berestovskii, and some of its properties. We will then discuss the work of I. G. Nikolaev on a regularization process for the previous riemannian structure and on approximations of our spaces by smooth riemannian manifolds. At the end we will discuss a potential extension to the equiariant setting.

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