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arXiv · 1905.01616

Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infnite Betti numbers

Huihong Jiang·Yi-Hu Yang
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Abstract

In a previous paper, we constructed complete manifolds of positive Ricci curvature with quadratically asymptotically nonnegative curvature and infinite topological type but dimension $\ge 6$. The purpose of the present paper is to use a different way to exhibit a family of complete $I$-dimensinal ($I\ge5$) Riemannian manifolds of positive Ricci curvature, quadratically asymptotically nonnegative sectional curvature, and certain infinite Betti number $b_j$ ($2\le j\le I-2$).

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Huihong Jiang, Yi-Hu Yang. 2019-05-05. Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infnite Betti numbers. https://arxiv.org/abs/1905.01616

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