On maximal totally real embeddings

Autor: Pali Nefton
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Complex Manifolds, Vol 11, Iss 1, Pp 871-885 (2024)
Druh dokumentu: article
ISSN: 2300-7443
DOI: 10.1515/coma-2024-0002
Popis: We consider complex structures with totally real zero section of the tangent bundle. We assume that the complex structure tensor is real-analytic along the fibers of the tangent bundle. This assumption is quite natural in view of a well-known result by Bruhat and Whitney. We provide explicit integrability equations for such complex structures in terms of the fiberwise Taylor expansion. In a particular geometric case considered in the literature, we explicit much further the fiberwise Taylor expansion of the complex structure as well as the integrability equations.
Databáze: Directory of Open Access Journals