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. © 1990 American Mathematical Society.
Projective structures on reductive homogeneous spaces / F. PODESTA'. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 109:(1990), pp. 1087-1096. [10.1090/S0002-9939-1990-1013979-8]
Projective structures on reductive homogeneous spaces
PODESTA', FABIO
1990
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. © 1990 American Mathematical Society.
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