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math.DG2012★ 2 cited
Generalized almost contact structures and generalized Sasakian structures
Ken'ichi Sekiya
We introduce generalized almost contact structures which admit the -field transformations on odd dimensional manifolds. We provide definition of generalized Sasakain structures…
math.DG2009★ 5 cited
On the uniqueness of Sasaki-Einstein metrics
Ken'ichi Sekiya
Let be a compact Sasakian manifold which does not admit non-trivial Hamiltonian holomorphic vector fields. If there exists an Einstein-Sasakian metric on , then it is unique…
math.DG2009★ 11 cited
A diameter bound for Sasaki manifolds with application to uniqueness for Sasaki-Einstein structure
Yasufumi Nitta, Ken'ichi Sekiya
In this paper we give a diameter bound for Sasaki manifolds with positive transverse Ricci curvature. As an application, we obtain the uniqueness of Sasaki-Einstein metrics on comp…