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<p>In this paper, we apply techniques from equivariant geometry to prove that a generalized Bour’s theorem holds for surfaces that are invariant under the action of a closed one-parameter group of isometries of a three-dimensional Riemannian manifold.</p>

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The Bour’s Theorem for Invariant Surfaces in Three-Manifolds

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年3月3日

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  • Iury Domingos,
  • Irene I. Onnis,
  • Paola Piu

摘要

In this paper, we apply techniques from equivariant geometry to prove that a generalized Bour’s theorem holds for surfaces that are invariant under the action of a closed one-parameter group of isometries of a three-dimensional Riemannian manifold.