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- W4299995984 abstract "We prove a CR Obata type result that if the first positive eigenvalue of the sub-Laplacian on a compact strictly pseudoconvex pseudohermitian manifold with a divergence free pseudohermitian torsion takes the smallest possible value then, up to a homothety of the pseudohermitian structure, the manifold is the standart Sasakian unit sphere. We also give a version of this theorem using the existence of a function with traceless horizontal Hessian on a complete, with respect to Webster's metric, pseudohermitian manifold." @default.
- W4299995984 created "2022-10-03" @default.
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- W4299995984 date "2012-03-26" @default.
- W4299995984 modified "2023-10-17" @default.
- W4299995984 title "An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence free torsion" @default.
- W4299995984 doi "https://doi.org/10.48550/arxiv.1203.5812" @default.
- W4299995984 hasPublicationYear "2012" @default.
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