Isoparametric hypersurfaces in Damek–Ricci spaces

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Matemáticasgl
dc.contributor.authorDíaz Ramos, José Carlos
dc.contributor.authorDomínguez Vázquez, Miguel
dc.date.accessioned2018-06-28T07:00:20Z
dc.date.available2018-06-28T07:00:20Z
dc.date.issued2013-06-01
dc.descriptionThis is the accepted manuscript of the following article: Díaz-Ramos, José Carlos; Domínguez-Vázquez, Miguel; Isoparametric hypersurfaces in Damek-Ricci spaces. Adv. Math. 239 (2013), 1–17. https://doi.org/10.1016/j.aim.2013.02.010gl
dc.description.abstractWe construct uncountably many isoparametric families of hypersurfaces in Damek-Ricci spaces. We characterize those of them that have constant principal curvatures by means of the new concept of generalized Kähler angle. It follows that, in general, these examples are inhomogeneous and have nonconstant principal curvatures. We also find new cohomogeneity one actions on quaternionic hyperbolic spaces, and an isoparametric family of inhomogeneous hypersurfaces with constant principal curvatures in the Cayley hyperbolic planegl
dc.description.peerreviewedSIgl
dc.description.sponsorshipThe first author has been supported by a Marie-Curie European Reintegration Grant (PERG04-GA- 2008-239162). The second author has been supported by the FPU programme of the Spanish Government. Both authors have been supported by projects MTM2009-07756 and INCITE09207151PR (Spain)gl
dc.identifier.citationDíaz-Ramos, José Carlos; Domínguez-Vázquez, Miguel; Isoparametric hypersurfaces in Damek-Ricci spaces. Adv. Math. 239 (2013), 1–17gl
dc.identifier.doi10.1016/j.aim.2013.02.010
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/10347/16886
dc.language.isoenggl
dc.publisherElseviergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/EC/FP7/239162
dc.relation.publisherversionhttps://doi.org/10.1016/j.aim.2013.02.010gl
dc.rights© 2013 Elsevier B.V. This manuscript version is made available under the CC-BY-NC-ND 4.0 license (http:// creativecommons.org/licenses/by-nc-nd/4.0/)gl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectIsoparametric hypersurfacesgl
dc.subjectHomogeneous submanifoldsgl
dc.subjectConstant principal curvaturesgl
dc.subjectDamek-Ricci harmonic spacesgl
dc.subjectGeneralized Kähler anglegl
dc.subjectCohomogeneity one actiongl
dc.titleIsoparametric hypersurfaces in Damek–Ricci spacesgl
dc.typejournal articlegl
dc.type.hasVersionAMgl
dspace.entity.typePublication
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relation.isAuthorOfPublication47842c15-6868-416f-be81-8000ef2fbf3c
relation.isAuthorOfPublication.latestForDiscoveryff9821f3-50bb-45a9-b5f6-2087f5eb9f9e

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