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<p>In this paper, the authors give a uniqueness theorem for the Dirichlet problem of minimal maps into general Riemannian manifolds with non-positive sectional curvature, improving [Lee, YI., Ooi, Y. S. and Tsui, MP., Uniqueness of minimal graph in general codimension, <i>J. Geom. Anal.</i>, <b>29</b>, 2019, 121–133, Theorem 5.2]. The proof of this theorem is based on the convexity of several functions in terms of squared singular values along the geodesic homotopy of two given minimal maps.</p>

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The Uniqueness of Minimal Maps into Cartan-Hadamard Manifolds via the Squared Singular Values

  • 期刊论文

  • 发表日期：

    2025年12月16日

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  • Zhiwei Jia,
  • Minghao Li,
  • Ling Yang

摘要

In this paper, the authors give a uniqueness theorem for the Dirichlet problem of minimal maps into general Riemannian manifolds with non-positive sectional curvature, improving [Lee, YI., Ooi, Y. S. and Tsui, MP., Uniqueness of minimal graph in general codimension, J. Geom. Anal., 29, 2019, 121–133, Theorem 5.2]. The proof of this theorem is based on the convexity of several functions in terms of squared singular values along the geodesic homotopy of two given minimal maps.