On the curvature of biquotients

Details On the curvature of biquotients On the curvature of biquotients

2008-09-27

arxiv.org/abs/0809.4771v4

Math. Ann. 352 (2012), 155--178

Mathematics

Differential Geometry

V3 An error has been discovered in Section 3. This section has been removed and the Introduction modified accordingly; V4 publ

Scientific paper

10.1007/s00208-011-0634-7

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of non-negatively curved manifolds which contain either a point or an open dense set of points at which all 2-planes have positive curvature. We study infinite families of biquotients defined by Eschenburg and Bazaikin from this viewpoint, together with torus quotients of $S^3 \x S^3$.

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