- Path:
-
On maximal totally real embeddings
Files
Periodical
- Title:
- Complex manifolds
- Publication:
-
Berlin: De Gruyter
- Note:
- Open Access
- Namensnennung 4.0 International
- Scope:
- Online-Ressource
- ISSN:
- 2300-7443
- ZDB-ID:
-
2861460-4
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Free Access
- Title:
- Complex manifolds
- Publication:
-
Berlin: De Gruyter
- Note:
- Open Access
- Namensnennung 4.0 International
- Scope:
- Online-Ressource
- ISSN:
- 2300-7443
- ZDB-ID:
-
2861460-4
- Keywords:
- Zeitschrift
- Classification:
- Mathematik
- Collection:
- Mathematik
- Copyright:
- Rights reserved
- Accessibility:
- Free Access
Article
- Title:
- On maximal totally real embeddings
- Publication:
-
Berlin: De Gruyter, 2024
- Language:
- English
- Information:
- Abstract: 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.
- Scope:
- Online-Ressource
- Note:
- Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- totally real embeddings ; integrability equations ; linear and non-linear connections over vector bundles ; 53C25 ; 53C55 ; 32J15
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- CC BY
- Accessibility:
- Free Access
- Title:
- On maximal totally real embeddings
- Publication:
-
Berlin: De Gruyter, 2024
- Language:
- English
- Information:
- Abstract: 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.
- Scope:
- Online-Ressource
- Note:
- Open Access
- Archivierung/Langzeitarchivierung gewährleistet
- Keywords:
- totally real embeddings ; integrability equations ; linear and non-linear connections over vector bundles ; 53C25 ; 53C55 ; 32J15
- Classification:
- Mathematik
- Sonstiges
- Collection:
- Mathematik
- Sonstiges
- Copyright:
- CC BY
- Accessibility:
- Free Access
