Some curvature conditions on a para-Sasakian manifold with canonical paracontact connection
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Tarih
2012
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info:eu-repo/semantics/openAccess
Özet
We study canonical paracontact connection on a para-Sasakian manifold. We prove that a Ricci-flat para-Sasakian manifold with respect to canonical paracontact connection is an ?-Einstein manifold. We also investigate some properties of curvature tensor, conformal curvature tensor, W2-curvature tensor, concircular curvature tensor, projective curvature tensor, and pseudo-projective curvature tensor with respect to canonical paracontact connection on a para-Sasakian manifold. It is shown that a concircularly flat para-Sasakian manifold with respect to canonical paracontact connection is of constant scalar curvature. We give some characterizations for pseudo-projectively flat para-Sasakian manifolds. © 2012 Bilal Eftal Acet et al.
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Kaynak
International Journal of Mathematics and Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
2012
