The entropy formulas for the CR heat equation and their applications on pseudohermitian \((2n+1)\)-manifolds

DOI10.2140/PJM.2010.246.1zbMath1206.32016OpenAlexW2021613514WikidataQ125943736 ScholiaQ125943736MaRDI QIDQ968603

Chin-Tung Wu, Shu-Cheng Chang

Publication date: 5 May 2010

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://pjm.math.berkeley.edu/pjm/2010/246-1/p01.xhtml

zbMATH Keywords

gradient estimatepseudo-Hermitian structuresub-Laplacianentropy formulaCR heat equationCR-Paeneitz operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Other complex differential geometry (53C56) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (7)

The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven ⋮ Convexity of the entropy of positive solutions to the heat equation on quaternionic contact and CR manifolds ⋮ A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold ⋮ An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion ⋮ The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ AN OBATA-TYPE THEOREM ON A THREE-DIMENSIONAL CR MANIFOLD

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