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Seminar

Riemannian Geometry: Inradius collapsed manifolds February 02, 2016 (11:00 AM PST - 12:00 PM PST)
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Location: MSRI: Simons Auditorium
Speaker(s) Takao Yamaguchi (Kyoto University)
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In this talk, we consider the Gromov-Hausdorff convergence of manifolds with boundary, where we assume a lower sectional curvature bound, two sides bounds on the second fundamental forms of boundaries and an upper diameter bound. We discuss the structure of the limit spaces and the topological relations between the limit spaces and nearby manifolds mainly in the case of inradii of manifolds converging to zero.

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