Extrinsic bi-Conformal Heat Flow and its smoothness
Abstract
In this paper we introduce conformal heat flow of (extrinsic) biharmonic maps on 4-manifold, simply called bi-conformal heat flow (bi-CHF), and study its properties. Similar to other CHF of harmonic maps and regularized n-harmonic maps, (CHF and regularized n-CHF respectively), we obtain global smoothness and no finite time singularity.
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