Journal
ADVANCES IN MATHEMATICS
Volume 381, Issue -, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aim.2021.107618
Keywords
Kohn Laplacian; Eigenvalue; Rigidity; Pseudohermitian manifold
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Funding
- Simons Foundation [524601]
- National Science Foundation [DMS-1607091]
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We have proven rigidity for the Lichnerowicz-type eigenvalue estimate for the Kohn Laplacian on strictly pseudoconvex three manifolds with nonnegative CR Paneitz operator and positive Webster curvature. This conditions for this rigidity include the manifold having a nonnegative CR Paneitz operator and positive Webster curvature.
We prove rigidity for the Lichnerowicz-type eigenvalue estimate for the Kohn Laplacian on strictly pseudoconvex three manifolds with nonnegative CR Paneitz operator and positive Webster curvature. (c) 2021 Elsevier Inc. All rights reserved.
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