On complete manifolds of nonnegative th-Ricci curvature

Author:
Zhong Min Shen

Journal:
Trans. Amer. Math. Soc. **338** (1993), 289-310

MSC:
Primary 53C21; Secondary 31C12, 57R70

DOI:
https://doi.org/10.1090/S0002-9947-1993-1112548-6

MathSciNet review:
1112548

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper we establish some vanishing and finiteness theorems for the topological type of complete open riemannian manifolds under certain positivity conditions for curvature. Key tools are comparison techniques and Morse Theory of Busemann and distance functions.

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DOI:
https://doi.org/10.1090/S0002-9947-1993-1112548-6

Article copyright:
© Copyright 1993
American Mathematical Society