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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

Projective structures on reductive homogeneous spaces


Author: Fabio Podestà
Journal: Proc. Amer. Math. Soc. 109 (1990), 1087-1096
MSC: Primary 53C30; Secondary 53C05
MathSciNet review: 1013979
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Abstract: The aim of this work is to give a more direct and "geometric" proof of a theorem of Agaoka, that on a reductive homogeneous space $ G/K$, every $ G$-invariant projective structure admits a $ G$-invariant affine connection. This connection can be chosen uniquely, subject to being torsionfree and satisfying one extra condition.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1990-1013979-8
PII: S 0002-9939(1990)1013979-8
Article copyright: © Copyright 1990 American Mathematical Society