On complex Douglas spaces
type: Item
instance of: scholarly article
title: On complex Douglas spaces
zbMATH Open document ID: 1264.53026
author: Nicoleta Aldea
author: Gheorghe Munteanu
published in: Journal of Geometry and Physics
publication date: 2013-04-22T00:00:00Z
review text: A projective change between two complex Finsler manifolds gives rise to projective curvature invariants, three of Douglas type and two of Weyl type. The vanishing of all projective curvature invariants of Douglas type defines complex Douglas spaces while the projective invariant of Weyl type characterizes complex Berwald spaces. The present paper describes several relationships between complex Douglas spaces and other classes of complex Finsler manifolds using the equations of a complex geodesic curve. The results are applied to complex Randers spaces.
reviewed by: Radu Miron
Mathematics Subject Classification ID: 53B40
Mathematics Subject Classification ID: 53C60
zbMATH DE Number: 6156359
zbMATH Keywords: projective curvature invariants of Douglas type
zbMATH Keywords: complex Douglas space
zbMATH Keywords: complex Berwald space
MaRDI profile type: Publication
full work available at URL: j.geomphys.2012.11.011
OpenAlex ID: W2060603451
DOI: 10.1016/J.GEOMPHYS.2012.11.011
description: scientific article; zbMATH DE number 6156359