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Stationary surfaces for the moment of inertia with constant Gauss curvature

dc.contributor.authorLópez Camino, Rafael 
dc.date.accessioned2026-01-22T10:23:37Z
dc.date.available2026-01-22T10:23:37Z
dc.date.issued2025
dc.identifier.citationPublisher version: López Camino, R. (2025). Stationary surfaces for the moment of inertia with constant Gauss curvature. Analysis, vol. 45, no. 4, 259-267. https://doi.org/10.1515/anly-2025-0037es_ES
dc.identifier.issn0003-2638
dc.identifier.issn1467-8284
dc.identifier.urihttps://hdl.handle.net/10481/110083
dc.descriptionThe author has been partially supported by MINECO/MICINN/FEDER grant no. PID2023-150727NB-I00, and by the “María de Maeztu” Excellence Unit IMAG, reference CEX2020-001105- M, funded by MCINN/AEI/10.13039/ 501100011033/CEX2020-001105-M.es_ES
dc.description.abstractConsider the energy Eα⁢[Σ]=∫Σ|p|α𝑑�Σ, where Σ is a surface in Euclidean space ℝ3 and α∈ℝ. We prove that planes and spheres are the only stationary surfaces for Eα with constant Gauss curvature. We also characterize these surfaces assuming that a principal curvature is constant or that the mean curvature is constant.es_ES
dc.description.sponsorshipMINECO/MICINN/FEDER, PID2023-150727NB-I00es_ES
dc.description.sponsorshipMCINN/AEI/10.13039/ 501100011033/CEX2020-001105-M, CEX2020-001105- Mes_ES
dc.language.isoenges_ES
dc.publisherDe Gruyteres_ES
dc.rightsCreative Commons Attribution-NonCommercial-NoDerivs 3.0 Licensees_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es_ES
dc.subjectMoment of inertiaes_ES
dc.subjectStationary surfaceses_ES
dc.subjectGauss curvaturees_ES
dc.titleStationary surfaces for the moment of inertia with constant Gauss curvaturees_ES
dc.typejournal articlees_ES
dc.rights.accessRightsembargoed accesses_ES
dc.identifier.doi10.1515/anly-2025-0037
dc.type.hasVersionAOes_ES


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