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.
1989
64
155
167
F. PODESTA'
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/218406
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