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arXiv · 2606.13299

The Sesquiharmonic Map Flow from Riemannian Surfaces

Amirreza Harandi·Roger Moser
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Abstract

Let $M$ be a two-dimensional compact manifold without boundary and let $N$ be a compact manifold without boundary. We study the $L^2$-gradient flow of an energy functional that interpolates between the harmonic map energy and the intrinsic biharmonic map energy. The critical points of this functional are called sesqui-harmonic maps. We investigate regularity properties of this flow, generalizing Struwe's classical regularity result for harmonic maps.

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Amirreza Harandi, Roger Moser. 2026-06-11. The Sesquiharmonic Map Flow from Riemannian Surfaces. https://arxiv.org/abs/2606.13299

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