A diameter bound for Sasaki manifolds

Annali della Scuola Normale Superiore di Pisa- Classe di Scienze 13 (1):207-224 (2014)
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Abstract

In this paper we shall show that the diameter of a complete Sasaki manifold whose transverse Ricci curvature is bounded from below by a positive constant has a universal upper bound. This gives another proof of the result of Hasegawa and Seino in [9] which asserts that such manifolds are always compact with finite fundamental group

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