The Bour’s Theorem for Invariant Surfaces in Three-Manifolds
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 closed one-parameter group of isometries of a three-dimensional Riemannian manifold.
Authors
- Iury Domingos (ORCID: https://orcid.org/0000-0001-5952-9521)
- P. Piu
- Irene I. Onnis
Institutions
- University of Cagliari (IT)
- KU Leuven (BE)
Publication Details
- Journal
- Results in Mathematics
- Published
- 2026-03-03
- DOI
- https://doi.org/10.1007/s00025-026-02615-6
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Istituto Nazionale di Alta Matematica "Francesco Severi"
- Università degli Studi di Cagliari
- Fondazione di Sardegna
- Conselho Nacional de Desenvolvimento Científico e Tecnológico
- Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni