Volume Rigidity of Principal Circle Bundles over the Complex Projective Space

Published 11 Dec 2017 in math.DG | (1712.03683v1)

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.

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Paul W. Y. Lee

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