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THE VOLUME AND TOPOLOGY OF A COMPLETE REIMANNIAN MANIFOLD |
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| Authors: | ZHAN Huashui and SHEN Zhongmin |
| Institution: | 1. Department of Basics Course, Jimei University, 2. Department of Mathematics, Indiana-Purdue University at Indianapolis, |
| Abstract: | It is conjectured that the manifold with nonnegative Ricci curvature and weaked bounded geometry is of finite topological type, if The paper partially solves this conjecture. In the same time, the paper also discusses the volume growth of a manifold with asymptotically nonnegative Ricci curvature. |
| Keywords: | Ricci curvature Weak bounded geometry Finite topological type Volume growth |
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