A note on the Ricci flow on noncompact manifolds

Hong Huang

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arXiv · 0807.0125

A note on the Ricci flow on noncompact manifolds

Hong Huang

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Abstract

Let $(M^3,g_0)$ be a complete noncompact Riemannian 3-manifold with nonnegative Ricci curvature and with injectivity radius bounded away from zero. Suppose that the scalar curvature $R(x)\to 0$ as $x\to \infty$. Then the Ricci flow with initial data $(M^3,g_0)$ has a long time solution. This extends a recent result of Ma and Zhu. We also have a higher dimensional version, and we reprove a K$\ddot{a}$hler analogy due to Chau, Tam and Yu.

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Hong Huang. 2008-07-07. A note on the Ricci flow on noncompact manifolds. https://arxiv.org/abs/0807.0125

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