Extrinsic bi-Conformal Heat Flow and its smoothness

arXiv (Cornell University) 2026 Preprint Open access

Read full text
Authors: Woongbae Park
DOI: 10.48550/arxiv.2603.04258
Cited by: 0
References: 1

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.

Fields of Study & Subjects

Geometric Analysis and Curvature Flows Nonlinear Partial Differential Equations Advanced Differential Geometry Research

Publication details

Journal / source
arXiv (Cornell University)
Publication date
4 March 2026
Language
EN
Document type
Preprint