Affiliation:
1. Department of Mathematics, Ohio State University, Columbus, OH 43210-1174, USA
Abstract
In this article, we prove that the maximum rank r of the Ricci tensor of a Cartan–Hadamard manifold Mn satisfies the inequality 2r - 1 ≥ n - s, where n is the dimension and s is the core number, which measures the flatness of Mn. Examples show that this lower bound is sharp.
Publisher
World Scientific Pub Co Pte Lt
Cited by
1 articles.
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