Demonstrates a generalized theorem for invariant surfaces in three-dimensional manifolds, suggesting new insights into geometric structures.
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.
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Domingos et al. (2026) studied this question.
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