Integrability of rough almost complex structures

DOI10.1007/BF02931002zbMath1038.32021arXiv0710.2310OpenAlexW2963413019MaRDI QIDQ1414840

Michael E. Taylor, Clyde Denson Hill

Publication date: 4 December 2003

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.2310

zbMATH Keywords

Newlander-Nirenberg theoremLipschitz regularitymanifolds with almost complex structures

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60)

Related Items

Mass in Kähler geometry ⋮ Inverse boundary problems for systems in two dimensions ⋮ Nonlinear gravitons, null geodesics, and holomorphic disks ⋮ Sub-Hermitian geometry and the quantitative Newlander-Nirenberg theorem ⋮ The Newlander-Nirenberg theorem for principal bundles ⋮ Solutions of the Strominger system via stable bundles on Calabi-Yau threefolds ⋮ Aspects of the Levi form ⋮ On conformally Kähler, Einstein manifolds ⋮ A Frobenius-Nirenberg theorem with parameter ⋮ Propagation of regularity for Monge-Ampère exhaustions and Kobayashi metrics ⋮ On sharp rates and analytic compactifications of asymptotically conical Kähler metrics ⋮ The complex Frobenius theorem for rough involutive structures ⋮ Modular data and regularity of Monge-Ampère exhaustions and of Kobayashi distance

Cites Work

• Complex analytic coordinates in almost complex manifolds
• A new proof of the Newlander-Nirenberg theorem
• Some integration problems in almost-complex and complex manifolds
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires