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• W2073145138 abstract "We prove a CR version of the Obata’s result for the first eigenvalue of the sub-Laplacian in the setting of a compact strictly pseudoconvex pseudohermitian manifold which satisfies a Lichnerowicz type condition and has a divergence free pseudohermitian torsion. We show that if the first positive eigenvalue of the sub-Laplacian takes the smallest possible value then, up to a homothety of the pseudohermitian structure, the manifold is the standard 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.
• W2073145138 created "2016-06-24" @default.
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• W2073145138 date "2012-12-01" @default.
• W2073145138 modified "2023-10-14" @default.
• W2073145138 title "An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion" @default.
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• W2073145138 doi "https://doi.org/10.1007/s00022-013-0145-7" @default.
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