Examples of manifolds of positive Ricci curvature with quadratically nonnegatively curved infinity and infinite topological type
- Resource Type
- Working Paper
- Authors
- Jiang, Huihong; Yang, Yihu
- Source
- Subject
- Mathematics - Differential Geometry
- Language
In this paper, we construct a complete n-dim Riemannian manifold with positive Ricci curvature, quadratically nonnegatively curved infinity and infinite topological type. This gives a negative answer to a conjecture by Jiping Sha and Zhongmin Shen in the case of n greater than or equal to 6.