Generalized Projectively Symmetric Spaces

Generalized Projectively Symmetric Spaces

We study generalized projectively symmetric spaces. We first study some geometric properties of projectively symmetric spaces and prove that any such space is projectively homogeneous and under certain conditions the projective curvature tensor vanishes. Then we prove that given any regular projecti...

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Veröffentlicht in:Geometry: An International Journal 2013-02, Vol.2013 (2013), p.1-5
Hauptverfasser: Latifi, Dariush, Razavi, Asadollah
Format: Artikel
Sprache:eng
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Zusammenfassung:We study generalized projectively symmetric spaces. We first study some geometric properties of projectively symmetric spaces and prove that any such space is projectively homogeneous and under certain conditions the projective curvature tensor vanishes. Then we prove that given any regular projective s-space (M, ∇), there exists a projectively related connection ∇¯, such that (M, ∇¯) is an affine s-manifold.
ISSN:2314-422X
2314-4238
DOI:10.1155/2013/292691