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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…
math.DG2009
Convexity properties of generalized moment maps
Yasufumi Nitta
In this paper, we consider generalized moment maps for Hamiltonian actions on -twisted generalized complex manifolds introduced by Lin and Tolman \cite{Lin}. The main purpose of…
math.DG2006★ 1 cited
Reduction of generalized Calabi-Yau structures
Yasufumi Nitta
A generalized Calabi-Yau structure is a geometrical structure on a manifold which generalizes both the concept of the Calabi-Yau structure and that of the symplectic one. In view o…