On the curvature of biquotients

Abstract

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 $S^3 \x S^3$.

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

References in corpus (1)

• Examples of Riemannian manifolds with positive curvature almost everywhere

Cited by in corpus (8)

• A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry
• The classification of compact simply connected biquotients in dimension 6 and 7
• Some new examples with almost positive curvature
• The classification of compact simply connected biquotients in dimension 4 and 5
• The classification and curvature of biquotients of the form $Sp(3)//Sp(1{)}^2$
• Orbifold Biquotients of SU(3)
• Quasi-positive curvature on a biquotient of $Sp(3)$
• The classification of $SU(2{)}^2$ biquotients of rank $3$ Lie groups