Generalized Projectively Symmetric Spaces | Zendy

Dariush Latifi | Zendy; Asadollah Razavi | Zendy

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Generalized Projectively Symmetric Spaces

Author(s) -

Dariush Latifi,

Asadollah Razavi

Publication year - 2013

Publication title -

geometry

Language(s) - English

Resource type - Journals

eISSN - 2314-4238

pISSN - 2314-422X

DOI - 10.1155/2013/292691

Subject(s) - mathematics , pure mathematics , affine transformation , connection (principal bundle) , manifold (fluid mechanics) , homogeneous , space (punctuation) , curvature , affine connection , mathematical analysis , geometry , combinatorics , computer science , mechanical engineering , engineering , operating system

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 (, ), there exists a projectivelyrelated connection , such that (, ) is an affine s-manifold

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