A note on generalized \(p\)-quasi Einstein manifolds. (English) Zbl 1159.53325

Das, Lovejoy S.; Nivas, Ram

J. Natl. Acad. Math. India 21(2007), 1-6 (2008).

Quasi-Einstein manifolds have been defined and studied by Chaki, Maity, De and others. Das and Nivas defined and studied generalized \(p\)-quasi Einstein manifolds. The aim of the present paper is to establish some more results on such generalized quasi-Einstein manifolds. Certain interesting results are established.

MSC:

53C25	Special Riemannian manifolds (Einstein, Sasakian, etc.)
53C15	General geometric structures on manifolds (almost complex, almost product structures, etc.)

Keywords:

generalized \(p\)-quasi Einstein manifold; Ricci tensor; Ricci semi-symmetric manifold