Some Relations Between Curvature Tensors of a Riemannian Manifold.
Küçük Resim Yok
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, properties alpha-cosymplectic manifolds equipped with M-procetive curvature tensor are studied. First, we gave the basic definitions and curvature properties of alpha-cosymplectic manifolds, then, we gave the definitions of Weyl projective curvature tensor , con-circular curvature tensor C and conformal curvature tensor V and we obtain some relations between these curvature tensors of a Riemannian manifold. Also we proved that an 2n+1-dimensional alpha-cosymplectic manifold is projectively flat if and only if it is either locally isometric to the hyperbolic space Hn(-1) . And finally, we proved that the M-projective curvature tensor in an alpha-cosymplectic manifold M is irrotational if and only if it is locally isometric to the hyperbolic space Hn(-a^2) .
Açıklama
Anahtar Kelimeler
curvature tensor, manifold, cosymplectic manifold, Riemannian manifold
Kaynak
10th International Statistics Congress(ISC2017)
