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<p>In this paper we are concerned with harmonic maps and minimal immersions defined on compact Riemannian manifolds and with values in homogeneous strongly harmonic manifolds. We show that they are global maxima on some subspaces of eigenspaces corresponding to the nonvanishing eigenvalue of the Laplacian operator on the target manifolds.</p>

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A result on the global maximums of the energy and volume functionals

  • 期刊论文

  • 发表日期：

    2025年2月11日

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  • Hafida Benallal,
  • Mohammed Benalili

摘要

In this paper we are concerned with harmonic maps and minimal immersions defined on compact Riemannian manifolds and with values in homogeneous strongly harmonic manifolds. We show that they are global maxima on some subspaces of eigenspaces corresponding to the nonvanishing eigenvalue of the Laplacian operator on the target manifolds.