Almost complex structures that model nonlinear geometries
type: Item
instance of: scholarly article
title: Almost complex structures that model nonlinear geometries
zbMATH Open document ID: 0641.53038
DOI: 10.1016/0393-0440(87)90009-X
published in: Journal of Geometry and Physics
publication date: 1987-01-01T00:00:00Z
review text: Let X be a distribution on a \(C^{\infty}\)-manifold M and \(\omega\) be a non-degenerate 2-form on M. X is ``Lagrangian'' if \(X_ p\), \(p\in M\) is a maximally isotropic subspace of the tangent space at p relative to \(\omega_ p\). Under the assumption that the tangent bundle of M splits into two Lagrangian distributions X and Y, this paper studies the structure ((X,Y),g,\(\omega)\), where g is a metric on X. It deals with almost complex structures, Finsler geometry, general relativity and Cartan connections.
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 4044655
zbMATH Keywords: almost complex connection
zbMATH Keywords: Lagrangian distributions
zbMATH Keywords: almost complex structures
zbMATH Keywords: Cartan connections
author: Geoffrey Martin
MaRDI profile type: Publication
cites work: On the Geometry of the Tangent Bundle.
cites work: Structure presque tangente et connexions. II
cites work: Q4139272
cites work: Q3915678
cites work: Q3260127
cites work: Nonlinear and Direction Connections
full work available at URL: 0393-0440(87)90009-x
OpenAlex ID: W2014119821
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description: scientific article; zbMATH DE number 4044655