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The object of the present paper is to study some curvature properties of almost Kenmotsu manifolds with conformal Reeb foliation. Among others it is proved that an almost Kenmotsu manifold with conformal Reeb foliation is Ricci semisymmetric if and only if it is an Einstein manifold. Finally, we study Yamabe soliton in this manifold.
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참고문헌 (29)
참고문헌 신청
C. L. Bejan / 2014 / Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry / Ann. Glob. Anal. Geom. 46(2):117~127
D. E. Blair / 1976 / Contact manifold in Reimannian Geometry / Lecture Notes on Mathematics :509
D. E. Blair / 2010 / Riemannian Geomatry on contact and sympletic manifolds / Progr. Math. Birkhauser
D. E. Blair / 1995 / Contact metric manifolds satisfying a nullitty condition / Israel J. Math. 91(1-3):189~214
B. Chow / 2006 / Hamilton's Ricci flow / Graduate Studies in Mathematics 77
D. E. Blair / 1976 / Contact manifold in Reimannian Geometry / Lecture Notes on Mathematics :509
D. E. Blair / 2010 / Riemannian Geomatry on contact and sympletic manifolds / Progr. Math. Birkhauser
D. E. Blair / 1995 / Contact metric manifolds satisfying a nullitty condition / Israel J. Math. 91(1-3):189~214
B. Chow / 2006 / Hamilton's Ricci flow / Graduate Studies in Mathematics 77
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