A diameter bound for Sasaki manifolds

作者：Nitta Yasufumi^*

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

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.

• 出版日期2014