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 .
Cite this article
Erwann Aubry, Diameter pinching in almost positive Ricci curvature. Comment. Math. Helv. 84 (2009), no. 2, pp. 223–233DOI 10.4171/CMH/160