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arXiv · 1602.00375

On the p-pseudoharmonic map heat flow

Shu-Cheng Chang·Yuxin Dong·Yingbo Han
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Abstract

In this paper, we consider the heat flow for p-pseudoharmonic maps from a closed Sasakian manifold M into a compact Riemannian manifold N. We prove global existence and asymptotic convergence of the solution for the p-pseudoharmonic map heat flow, provided that the sectional curvature of the target manifold N is nonpositive. Moreover, without the curvature assumption on the target manifold, we obtain global existence and asymptotic convergence of the p-pseudoharmonic map heat flow as well when its initial p-energy is sufficiently small.

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Shu-Cheng Chang, Yuxin Dong, Yingbo Han. 2016-02-01. On the p-pseudoharmonic map heat flow. https://arxiv.org/abs/1602.00375

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