An analogue of Demailly's inequality for strictly pseudoconvex CR manifolds

DOI10.4310/jdg/1214442872zbMath0714.58053OpenAlexW1556624612WikidataQ115182846 ScholiaQ115182846MaRDI QIDQ750989

Ezra Getzler

Publication date: 1989

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214442872

zbMATH Keywords

heat equationCR manifoldsHeisenberg manifoldDemailly's inequalitypseudodifferential operator calculusstrictly pseudo-convex hypersurfaces in \({\mathbb{C}}^{n+1}\)

Mathematics Subject Classification ID

Heat equation (35K05) Real submanifolds in complex manifolds (32V40) Pseudodifferential and Fourier integral operators on manifolds (58J40) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (11)

Unnamed Item ⋮ Semiclassical asymptotics on covering manifolds and Morse inequalities ⋮ Szegő kernel asymptotics and Morse inequalities on CR manifolds ⋮ Analytic torsions on contact manifolds ⋮ Equivariant Kodaira embedding for CR manifolds with circle action ⋮ Holomorphic Morse inequalities on manifolds with boundary ⋮ Diabatic limit, eta invariants and Cauchy–Riemann manifolds of dimension 3☆ ⋮ Unnamed Item ⋮ The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle ⋮ Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR covering manifolds with \(S^1\)-action ⋮ Heat kernel asymptotics for Kohn Laplacians on CR manifolds

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