Examples of Thomas-Whitehead projective connections
type: Item
instance of: scholarly article
title: Examples of Thomas-Whitehead projective connections
zbMATH Open document ID: 0897.53009
DOI: 10.1016/S0926-2245(97)00018-1
author: D. Massart
published in: Differential Geometry and its Applications
publication date: 1998-09-30T00:00:00Z
review text: Projective connections on a manifold can be represented by Thomas-Whitehead (TW) connections, which are just linear connections on a natural \(\mathbb{R}\)-bundle over the manifold satisfying certain special properties. We show that TW-connections with recurrent curvature are flat, and we characterize the TW-connections which are metric connections. Finally, we classify invariant torsion-free linear connections, invariant projective structures, and invariant TW-connections for a homogeneous space.
Mathematics Subject Classification ID: 53B10
Mathematics Subject Classification ID: 53C30
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 53C15
zbMATH DE Number: 1145936
zbMATH Keywords: projective structure
zbMATH Keywords: projective connection
zbMATH Keywords: Levi-Civita connection
zbMATH Keywords: homogeneous space
Wikidata QID: Q115337535
MaRDI profile type: Publication
cites work: Q4720334
cites work: Q5658761
cites work: Q5728083
cites work: Q3738181
cites work: Projective Structures on Reductive Homogeneous Spaces
cites work: The projective connections of T. Y. Thomas and J. H. C. Whitehead applied to invariant connections
cites work: The representation of projective spaces
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description: scientific article; zbMATH DE number 1145936