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arXiv · 2306.03837

The Bour's theorem for invariant surfaces in three-manifolds

Iury Domingos·Irene I. Onnis·Paola Piu
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Abstract

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 one-parameter group of isometries of a three-dimensional Riemannian manifold.

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Iury Domingos, Irene I. Onnis, Paola Piu. 2023-06-06. The Bour's theorem for invariant surfaces in three-manifolds. https://arxiv.org/abs/2306.03837

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