Generalized Projectively Symmetric Spaces. (4th February 2013)

• Record Type: Journal Article
• Authors: Latifi, Dariush; Razavi, Asadollah
• Other Names: Hernandez Salvador Academic Editor.
• Is Part Of: Geometry. Volume 2013(2013)
• Publication Date: 2013-02-04
• Subjects: Geometry -- Periodicals; Geometry; Periodicals; 516
• DOI: 10.1155/2013/292691
• Languages: English
• ISSNs: 2314-422X

Abstract

Abstract : 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.