On CR volume growth estimate in a complete pseudohermitian 3-manifold

DOI10.1142/S0129167X14500359zbMath1288.32049OpenAlexW1992810840MaRDI QIDQ5418651

Shu-Cheng Chang, Ting-Hui Chang

Publication date: 26 May 2014

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

Full work available at URL: https://doi.org/10.1142/s0129167x14500359

zbMATH Keywords

Carnot-Carathéodory distanceCR Paneitz operatorCR Reilly formulaCR Riccati equationCR-pluriharmonic functionsub-Laplacian comparison

Mathematics Subject Classification ID

Other complex differential geometry (53C56) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)

Related Items (2)

On uniform large-scale volume growth for the Carnot-Carathéodory metric on unbounded model hypersurfaces in \(\mathbb{C}^2\) ⋮ Liouville theorems for semilinear differential inequalities on sub-Riemannian manifolds

Cites Work

• Unnamed Item
• Stochastic completeness and volume growth in sub-Riemannian manifolds
• Subgradient estimate and Liouville-type theorem for the \(CR\) heat equation on Heisenberg groups
• Nonnegativity of CR Paneitz operator and its application to the CR Obata's theorem
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• Balls and metrics defined by vector fields. I: Basic properties
• Intrinsic CR normal coordinates and the CR Yamabe problem
• Hamilton-Jacobi theory and the heat kernel on Heisenberg groups
• The first eigenvalue of a sublaplacian on a pseudohermitian manifold
• Psuedo-Einstein Structures on CR Manifolds

This page was built for publication: On CR volume growth estimate in a complete pseudohermitian 3-manifold