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arxiv: 0709.1521 · v1 · submitted 2007-09-11 · 🧮 math.DG · math.AP

Ricci Flow with hyperbolic warped product metrics

classification 🧮 math.DG math.AP
keywords flowhyperbolicmetricsproductricciwarpedconvergescurvature
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In this short note, we show that the negative curvature is preserved in the deformation of hyperbolic warped product metrics under Ricci flow. It is also showed that the flow converges to a flat metric as time going to infinity.

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