We consider a C∞ simply connected manifold M endowed with a projective structure P and under an additional hypothesis on the projective curvature tensor, we find necessary and sufficient conditions in order that M turns out to be a reductive homogeneous space G/H where G is a Lie group acting on M as a group of automorphisms of P.
Projective homogeneity / F. PODESTA'. - In: MANUSCRIPTA MATHEMATICA. - ISSN 0025-2611. - STAMPA. - 64:(1989), pp. 155-167. [10.1007/BF01160116]
Projective homogeneity
PODESTA', FABIO
1989
Abstract
We consider a C∞ simply connected manifold M endowed with a projective structure P and under an additional hypothesis on the projective curvature tensor, we find necessary and sufficient conditions in order that M turns out to be a reductive homogeneous space G/H where G is a Lie group acting on M as a group of automorphisms of P.
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