Isometric immersions of R^2 into R^4 and pertubation of Hopf tori

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dc.creatorGalvez, Jose A.
dc.creatorMira, Pablo
dc.date2003-01-09
dc.date.accessioned2026-07-07T04:54:20Z
dc.date.available2026-07-07T04:54:20Z
dc.descriptionWe produce a new general family of flat tori in R^4, the first one since Bianchi's classical works in the 19th century. To construct these flat tori, obtained via small perturbation of certain Hopf tori in S^3, we first present a global description of all isometric immersions of R^2 into R^4 with flat normal bundle.
dc.description26 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/math/0301075
dc.identifierhttp://arxiv.org/abs/math/0301075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66210
dc.subjectDifferential Geometry
dc.subject53C40
dc.titleIsometric immersions of R^2 into R^4 and pertubation of Hopf tori
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