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arXiv · 0812.2703

Curvature tensor under the complete non-compact Ricci Flow

Li Ma·Liang Cheng
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Abstract

We prove that for a solution $(M^n,g(t))$, $t\in[0,T)$, where $T<\infty$, to the Ricci flow with bounded curvature on a complete non-compact Riemannian manifold with the Ricci curvature tensor uniformly bounded by some constant $C$ on $M^n\times [0,T)$, the curvature tensor stays uniformly bounded on $M^n\times [0,T)$. Some other results are also presented.

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Li Ma, Liang Cheng. 2009-10-14. Curvature tensor under the complete non-compact Ricci Flow. https://arxiv.org/abs/0812.2703

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