Uniqueness results on CR manifolds

DOI10.2422/2036-2145.201906_016zbMath1490.32005OpenAlexW3126954752MaRDI QIDQ5161600

Pak Tung Ho

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201906_016

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) CR structures, CR operators, and generalizations (32V05) Conformal structures on manifolds (53C18)

Cites Work

• Unnamed Item
• An Obata-type theorem in CR geometry
• A remark on the kernel of the CR Paneitz operator
• A positive mass theorem in three dimensional Cauchy-Riemann geometry
• Schrödinger operators and the zeros of their eigenfunctions
• Nonnegativity of CR Paneitz operator and its application to the CR Obata's theorem
• The CR Paneitz operator and the stability of CR pluriharmonic functions
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• The Yamabe problem on CR manifolds
• Nonlinear elliptic equations on compact Riemannian manifolds and asymptotics of Emden equations
• Pseudo-hermitian structures on a real hypersurface
• A note on common zeroes of Laplace-Beltrami eigenfunctions
• Sobolev inequalities and isolation results for harmonic maps
• Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants
• Winding numbers and eigenfunctions of the Laplacian
• Uniqueness results on surfaces with boundary
• Uniformization of spherical \( CR\) manifolds
• The diameter estimate and its application to CR Obata’s Theorem on closed pseudohermitian $(2n+1)$-manifolds
• The first eigenvalue of a sublaplacian on a pseudohermitian manifold
• The Fefferman Metric and Pseudohermitian Invariants
• Psuedo-Einstein Structures on CR Manifolds
• The sharp lower bound for the first positive eigenvalue of a sub-Laplacian on a pseudo-Hermitian manifold
• THE LONG-TIME EXISTENCE AND CONVERGENCE OF THE CR YAMABE FLOW
• A Paneitz-type operator for CR pluriharmonic functions

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