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<p>In this paper, we establish analytic properties of pseudoharmonic maps from pseudo-Hermitian manifolds to Riemannian manifolds. More precisely, we derive the monotonicity formula and small-energy regularity theorem for pseudoharmonic maps from 3-dimensional pseudo-Hermitian manifolds. As an application, we can prove a compactness theorem for pseudoharmonic maps with bounded energy. We also prove Liouville theorems for stable foliated harmonic maps from Heisenberg groups to spheres.</p>

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Analytic properties of pseudoharmonic maps

  • 期刊论文

  • 发表日期：

    2026年4月16日

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  • Shitong Niu,
  • Jun Sun

摘要

In this paper, we establish analytic properties of pseudoharmonic maps from pseudo-Hermitian manifolds to Riemannian manifolds. More precisely, we derive the monotonicity formula and small-energy regularity theorem for pseudoharmonic maps from 3-dimensional pseudo-Hermitian manifolds. As an application, we can prove a compactness theorem for pseudoharmonic maps with bounded energy. We also prove Liouville theorems for stable foliated harmonic maps from Heisenberg groups to spheres.