Trace of heat kernel, spectral zeta function and isospectral problem for sub-Laplacians

DOI10.1007/s11425-009-0186-4zbMath1209.53024OpenAlexW2104897618MaRDI QIDQ983644

Sai Kee Yeung, Der-Chen E. Chang

Publication date: 24 July 2010

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-009-0186-4

zbMATH Keywords

Mellin transformheat kernelpseudo-Hermitian structuresub-LaplacianCR-isospectral problemRiemannian zeta function

Mathematics Subject Classification ID

Heat and other parabolic equation methods for PDEs on manifolds (58J35) Boundary value problems for functional-differential equations (34K10) Sub-Riemannian geometry (53C17) Isospectrality (58J53) Subelliptic equations (35H20)

Related Items

Heat trace asymptotics on equiregular sub-Riemannian manifolds

Cites Work

• A zeta function associated to the sub-Laplacian on the unit sphere in \(\mathbb{C}^N\)
• The heat equation on a CR manifold
• Riemannian coverings and isospectral manifolds
• The Yamabe problem on CR manifolds
• Pseudo-hermitian structures on a real hypersurface
• Spectral invariants of CR manifolds
• Curvature and the eigenforms of the Laplace operator
• The Heat equation for the –Laplacian
• The Fefferman Metric and Pseudohermitian Invariants
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• The Tangential Cauchy-Riemann Complex on Spheres
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