Integrability of analytic almost complex structures on Banach manifolds

DOI10.1007/s10455-005-2960-zzbMath1081.32016arXivmath/0407395OpenAlexW2571826577MaRDI QIDQ2570838

Daniel Beltiţă

Publication date: 28 October 2005

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0407395

zbMATH Keywords

almost complex structurehomogeneous spaceBanach-Lie group

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (6)

Geometric representation theory for unitary groups of operator algebras ⋮ Hyperkähler structures and infinite-dimensional Grassmannians ⋮ Boundary maps and maximal representations on infinite-dimensional Hermitian symmetric spaces ⋮ Coadjoint Orbits and the Beginnings of a Geometric Representation Theory ⋮ Projective and Direct limits of Banach $G$ and tensor structures ⋮ Holomorphic Realization of Unitary Representations of Banach–Lie Groups

Cites Work

• Zur Differentialgeometrie der komplexen Strukturen
• Complex analytic coordinates in almost complex manifolds
• Complex homogeneous spaces of pseudo-restricted groups
• Spectra for solvable Lie algebras of bundle endomorphisms
• Lie groups with Banach spaces as parameter spaces
• The Bott–Borel–Weil Theorem for direct limit groups
• The Dolbeault complex in infinite dimensions II
• The Dolbeault complex in infinite dimensions I
• On the $\overline\partial$-equation in a Banach space
• The Dolbeault complex in infinite dimensions. III: Sheaf cohomology in Banach spaces
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