Tohoku Mathematical Journal
2009
December
SECOND SERIES VOL. 61, NO. 4

Tohoku Math. J.
61 (2009), 499-522

Title RICCI CURVATURE AND ALMOST SPHERICAL MULTI-SUSPENSION

Author Shouhei Honda

(Received August 18, 2008, revised July 21, 2009)
Abstract. In this paper, we give a generalization of Cheeger-Colding's suspension theorem for manifolds with almost maximal diameters. We also discuss a relationship between the eigenvalues of the Laplacian and the structure of tangent cones of non-collapsing limit spaces.

2000 Mathematics Subject Classification. Primary 53C24.
Key words and phrases. Gromov-Hausdorff distance, Ricci curvature, sphere theorems.

To the top of this page

Back to the Contents