On the topology of Sasakian manifolds

Authors

  • Gheorghe Pitiş

DOI:

https://doi.org/10.7146/math.scand.a-14415

Abstract

The notion of $q$-bisectional curvature of a Sasakian manifold $M$ is defined. It is proved that if $M$ has lower bounded $q$-bisectional curvature and contains a compact invariant submanifold tangent to the structure vector field then $M$ is compact. Myers and Frankel type theorems for Sasakian manifolds with lower bounded and positive $q$-bisectional curvature, respectively, are also given.

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Published

2003-09-01

How to Cite

Pitiş, G. (2003). On the topology of Sasakian manifolds. MATHEMATICA SCANDINAVICA, 93(1), 99–108. https://doi.org/10.7146/math.scand.a-14415

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Articles