Commentarii Mathematici Helvetici
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Published online: 2009-06-30
Diameter pinching in almost positive Ricci curvatureErwann Aubry (1) Université de Nice, France
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 .
Keywords: Ricci curvature, comparison theorems, integral bounds on the curvature, sphere theorems
Aubry Erwann: Diameter pinching in almost positive Ricci curvature. Comment. Math. Helv. 84 (2009), 223-233. doi: 10.4171/CMH/160