On weakly symmetric Finsler spaces

Habibi, Parastoo; Razavi, Asadollah

doi:10.1016/j.geomphys.2009.12.005

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Regular Projective S-space1

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2013

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“…Remark 20. The authors have studied Finsler homogeneous and symmetric spaces [9]; recently Habibi and the second author generalized them to Finsler s-manifolds and weakly Finsler symmetric spaces [10,11]. Therefore these concepts can be mixed and find more generalizations which will be the content of other papers.…”

Section: Regular Projective S-spacementioning

confidence: 99%

Generalized Projectively Symmetric Spaces

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Razavi

2013

Geometry

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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 projectively related connection , such that (, ) is an affine s-manifold.

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Section: Regular Projective S-spacementioning

confidence: 99%