Volume Rigidity of Principal Circle Bundles over the Complex Projective Space

Abstract

In this paper, we prove that principal circle bundles over the complex projective space equipped with the standard Sasakian structures are volume rigid among all $K$-contact manifolds satisfying positivity conditions of tensors involing the Tanaka-Webster curvature.

27 pages

References in corpus (1)

• Ricci curvature lower bounds on Sasakian manifolds