KIT - Department of Mathematics - Strongly positive curvature

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Institute of Algebra and Geometry

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AG Differentialgeometrie

AG Differentialgeometrie

Talk: R. Bettiol

Talk: R. Bettiol

Strongly positive curvature

Speaker: Renato Bettiol (University of Notre Dame)
Place: Z 2
Time: 4.6.2014, 11:30 - 13:00

Abstract

In this talk, I will describe my recent work with R. Mendes (Notre Dame) which begins a systematic study of closed manifolds with “strongly positive curvature”. This is an intermediate curvature condition between positive sectional curvature (sec>0) and positive curvature operator, and essentially dates back to the work of Thorpe in the early 1970’s. We study which of the known examples of manifolds with sec>0 also have this stronger condition, in particular among homogeneous spaces and biquotients.