A diameter bound for Sasaki manifolds

• Yasufumi Nitta ^[1]
  1. [1] Tokyo Institute of Technology

     Tokyo Institute of Technology

     Japón

     
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 13, Nº 1, 2014, págs. 207-224
• Idioma: inglés
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• Resumen

  • 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.