The new Neumann operator associated with deformations of strongly pseudo convex domains and its application to deformation theory

DOI10.1007/BF01394061zbMath0575.32021MaRDI QIDQ1064438

Takao Akahori

Publication date: 1982

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142937

zbMATH Keywords

Neumann operatorHodge decomposition theoremstrongly pseudoconvex subdomainversal family of deformations

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Hodge theory in global analysis (58A14) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) Complex manifolds (32Q99) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Unnamed Item, Complex analytic construction of the Kuranishi family on a normal strongly pseudoconvex manifold with real dimension 5, Hamiltonian flow over deformations of ordinary double points, Deformation theory of 5-dimensional CR structures and the Rumin complex., On Tian-Todorov lemma and its applications to deformation of CR-structures, Deformations of a complex manifold near a strongly pseudo-convex real hypersurface and a realization of Kuranishi family of strongly pseudo- convex CR structures, A criterion for the Neumann type problem over a differential complex on a strongly pseudoconvex domain

Cites Work

• Unnamed Item
• On the locally complete families of complex analytic structures
• Complex analytic construction of the Kuranishi family on a normal strongly pseudo-convex manifold. II
• The new estimate for the subbundles \(E_ j \)and its application to the deformation of the boundaries of strongly pseudo convex domains
• Intrinsic formula for Kuranishi's operator
• Ambient deformations for exceptional sets in two-manifolds
• Harmonic integrals on strongly pseudo-convex manifolds. I
• Non‐coercive boundary value problems