Pseudo-Hermitian geometry in 3-D

DOI10.1007/S00032-011-0156-5zbMath1227.35219OpenAlexW1978285297MaRDI QIDQ640712

Paul C. Yang

Publication date: 19 October 2011

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

Full work available at URL: https://doi.org/10.1007/s00032-011-0156-5

zbMATH Keywords

almost-complex structure\(p\)-mean curvature equationcovariant operators

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Degenerate elliptic equations (35J70) Optimization of shapes other than minimal surfaces (49Q10) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Degenerate hyperbolic equations (35L80) Analysis on CR manifolds (32V20)

Related Items (2)

Cauchy's surface area formula in the Heisenberg groups ⋮ Applications of integral geometry to geometric properties of sets in the 3D-Heisenberg group

Cites Work

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• Complex analytic coordinates in almost complex manifolds
• Existence and uniqueness for \(p\)-area minimizers in the Heisenberg group
• Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
• Regularity of \(C^{1}\) smooth surfaces with prescribed \(p\)-mean curvature in the Heisenberg group
• The range of the tangential Cauchy-Riemann operator
• The Yamabe problem on CR manifolds
• Real hypersurfaces in complex manifolds
• Pseudo-hermitian structures on a real hypersurface
• Contact geometry and CR structures on \(S^ 3\)
• Differential forms on contact manifolds
• Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants
• A Codazzi-like equation and the singular set for C1 smooth surfaces in the Heisenberg group
• Strictly pseudoconvex domains in 𝐶ⁿ
• Isoperimetric inequalities & volume comparison theorems on CR manifolds
• Psuedo-Einstein Structures on CR Manifolds
• Embeddability for Three-Dimensional CR-Manifolds
• On Three-Dimensional Cauchy-Riemann Manifolds
• Pseudo-Einstein and Q-flat metrics with eigenvalue estimates on CR-hypersurfaces
• [https://portal.mardi4nfdi.de/wiki/Publication:5689214 Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces]
• The CR Yamabe conjecture. The case \(n=1\)

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