Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator
Keyword(s):
Let M be a three-dimensional trans-Sasakian manifold of type ( α , β ) . In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an α -Sasakian manifold, cosymplectic manifold or a space of constant sectional curvature. Applying this, we give a new characterization of proper trans-Sasakian 3-manifolds.
2010 ◽
Vol 2010
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pp. 1-19
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Keyword(s):
Keyword(s):
1992 ◽
Vol 50
(2)
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pp. 1146-1147
1987 ◽
Vol 45
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pp. 30-33
1996 ◽
Vol 54
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pp. 636-637