Comparison theorems in pseudo-Hermitian geometry and applications

zbMath1396.53097arXiv1611.00539MaRDI QIDQ1750371

Wei Zhang, Yuxin Dong

Publication date: 18 May 2018

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

Full work available at URL: https://arxiv.org/abs/1611.00539

zbMATH Keywords

Jacobi fieldsCR-structureSasakian manifoldcomparison theoremsTanaka-Webster connectionpseudo-Hermitian manifoldsBonnet-Myers-like theoremCartan-Hadamard-like theoremgeodesics theoryHopf-Rinow-like theorem

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (1)

The differential geometry of curves in \(B^1 \times \mathbb{R}\)

Cites Work

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• On the \(J\)-flow in Sasakian manifolds
• Sub-Riemannian geometry
• Pseudo-hermitian structures on a real hypersurface
• Differential geometry and analysis on CR manifolds
• On the fundamental groups of compact Sasakian manifolds
• Uniformization of spherical \( CR\) manifolds
• Jacobi fields of the Tanaka-Webster connection on Sasakian manifolds
• Deformations of Constant Scalar Curvature Sasakian Metrics and K-Stability

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