Ancient caloric functions on Pseudohermitian manifolds

DOI10.1007/s12220-022-01101-zzbMath1505.32055OpenAlexW4311900898MaRDI QIDQ2110282

Pak Tung Ho

Publication date: 21 December 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-01101-z

zbMATH Keywords

pseudohermitian manifoldsancient pseudohermitian caloric functions

Mathematics Subject Classification ID

CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Cites Work

• Unnamed Item
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• Li-Yau gradient estimate and entropy formulae for the CR heat equation in a closed pseudohermitian 3-manifold
• Linear growth harmonic functions on a complete manifold
• Harmonic functions on manifolds
• Harmonic sections of polynomial growth
• Harmonic functions with polynomial growth
• Weyl type bounds for harmonic functions
• Harmonic functions of polynomial growth on complete manifolds. II
• Linear growth harmonic functions on complete manifolds with nonnegative Ricci curvature
• Optimal bounds for ancient caloric functions
• CR sub-Laplacian comparison and Liouville-type theorem in a complete noncompact Sasakian manifold
• Harmonic functions on complete riemannian manifolds
• Differential equations on riemannian manifolds and their geometric applications
• Liouville theorems for harmonic sections and applications
• Sums of Powers of Integers
• Riemannian manifold, global mean value inequality, Laplace equation, heat equation, weak volume growth condition
• A CR Analogue of Yau’s Conjecture on Pseudoharmonic Functions of Polynomial Growth