Extrinsic bi-Conformal Heat Flow and its smoothness
Differential Geometry
2026-03-05 v1
Abstract
In this paper we introduce conformal heat flow of (extrinsic) biharmonic maps on -manifold, simply called bi-conformal heat flow (bi-CHF), and study its properties. Similar to other CHF of harmonic maps and regularized -harmonic maps, (CHF and regularized -CHF respectively), we obtain global smoothness and no finite time singularity.
Keywords
Cite
@article{arxiv.2603.04258,
title = {Extrinsic bi-Conformal Heat Flow and its smoothness},
author = {Woongbae Park},
journal= {arXiv preprint arXiv:2603.04258},
year = {2026}
}
Comments
arXiv admin note: text overlap with arXiv:2502.10679