Woongbae Park

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20242026

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math.DG2026

Extrinsic bi-Conformal Heat Flow and its smoothness

Woongbae Park

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 o…

math.DG2025

Regularized $n$ -Conformal heat flow and global smoothness

Woongbae Park

In this paper, we introduce the regularized conformal heat flow of $n$ -harmonic maps, or simply regularized $n$ -conformal heat flow from $n$ -dimensional Riemannian manifold. This i…

Extrinsic bi-Conformal Heat Flow and its smoothness

Regularized n-Conformal heat flow and global smoothness

Regularized $n$ -Conformal heat flow and global smoothness