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- W2288798420 abstract "We prove that every Einstein compact almost C-manifold M 2n+s whose Reeb vector fields are Killing is a C-manifold. Then we extend this result considering some generalizations of the Einstein condition (η-Einstein, generalized quasi Einstein, etc.). Moreover, we find some topological properties of compact almost C-manifolds under the assumption that the Ricci tensor is transversally positive definite and the Reeb vector fields are Killing, namely we prove that the first Betti number is s and the first fundamental group is isomorphic to Z s . Finally, a splitting theorem for cosymplectic manifolds is found." @default.
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- W2288798420 date "2010-01-01" @default.
- W2288798420 modified "2023-09-23" @default.
- W2288798420 title "EINSTEIN-LIKE CONDITIONS AND COSYMPLECTIC GEOMETRY" @default.
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