L p estimates for local solutions of $$\bar \partial _b $$ on strongly pseudo-convex CR manifolds

1990 ◽  
Vol 288 (1) ◽  
pp. 35-62 ◽  
Author(s):  
Mei-Chi Shaw
Keyword(s):  
Cr Manifolds ◽  
Pseudo Convex ◽  
Local Solutions

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

The Centralizer

2018 ◽  
Author(s):  
Ercüment H. Ortaçgil
Keyword(s):  
Lie Group ◽  
Group Structure ◽  
Diffeomorphism Group ◽  
Group Diff ◽  
Local Solutions

The pseudogroup of local solutions in Chapter 3 defines another pseudogroup by taking its centralizer inside the diffeomorphism group Diff(M) of a manifold M. These two pseudogroups define a Lie group structure on M.

Local solutions to global phosphorus imbalances

Nature Food ◽  
2021 ◽  
Author(s):  
Philip M. Haygarth ◽  
Mariana C. Rufino
Keyword(s):  
Local Solutions

scholarly journals Location-Specific Adjustments in Population and Employment across Metropolitan America

Urban Science ◽  
2021 ◽  
Vol 5 (1) ◽  
pp. 24
Author(s):  
Gordon F. Mulligan ◽  
John I. Carruthers
Keyword(s):  
Labor Markets ◽  
Metropolitan Areas ◽  
Adjustment Process ◽  
Equilibrium Solutions ◽  
Natural Amenities ◽  
Long Run ◽  
Local Sustainability ◽  
Universal Solution ◽  
Standard Linear ◽  
Local Solutions

This paper examines the joint adjustment of population and employment numbers across America’s metropolitan areas during the period 1990–2015. Current levels of both are estimated, for 10 year periods, using their lagged (own and cross) levels and eight other lagged variables. Population is affected by both human and natural amenities and employment by wages, patents, and other attributes of the workforce. This paper questions the conventional interpretation of the adjustment process by using geographically weighted regression (GWR) instead of standard linear (OLS, 2GLS) regression. Here the various estimates are all local, so the long-run equilibrium solutions for the adjustment process vary over space. Convergence no longer indicates a stable universal solution but instead involves a mix of stable and unstable local solutions. Local sustainability becomes an issue when making projections because employment can quickly lead or lag population in some metropolitan labor markets.

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