Local existence theorems with estimates for $$\bar \partial _b $$ on weakly pseudo-convex CR manifolds

1992 ◽  
Vol 294 (1) ◽  
pp. 677-700 ◽  
Author(s):  
Mei-Chi Shaw
Keyword(s):  
Existence Theorems ◽  
Local Existence ◽  
Cr Manifolds ◽  
Pseudo Convex

scholarly journals Contact Metric Spaces and pseudo-Hermitian Symmetry

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1583
Author(s):  
Jong Taek Cho
Keyword(s):  
Symmetric Space ◽  
Metric Spaces ◽  
Classification Theorem ◽  
Riemann Manifold ◽  
Cr Manifolds ◽  
Pseudo Convex ◽  
Cauchy Riemann

We prove that a contact strongly pseudo-convex CR (Cauchy–Riemann) manifold M2n+1, n≥2, is locally pseudo-Hermitian symmetric and satisfies ∇ξh=μhϕ, μ∈R, if and only if M is either a Sasakian locally ϕ-symmetric space or a non-Sasakian (k,μ)-space. When n=1, we prove a classification theorem of contact strongly pseudo-convex CR manifolds with pseudo-Hermitian symmetry.

scholarly journals The ∂¯b equation on weakly pseudo-convex CR manifolds of dimension 3

2006 ◽  
Vol 230 (2) ◽  
pp. 251-272 ◽  
Author(s):  
Joseph J. Kohn ◽  
Andreea C. Nicoara
Keyword(s):  
Cr Manifolds ◽  
Pseudo Convex
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