JournalscmhVol. 84 , No. 2DOI 10.4171/cmh/160

Diameter pinching in almost positive Ricci curvature

  • Erwann Aubry

    Université de Nice, France
Diameter pinching in almost positive Ricci curvature cover

Abstract

In this paper we prove a diameter sphere theorem and its corresponding λ1 sphere theorem under Lp control of the curvature. They are generalizations of some results due to S. Ilias [8].