The Willmore Conjecture for immersed tori with small curvature integral

dc.creatorAmmann, Bernd
dc.date1999-06-10
dc.date1999-11-16
dc.date.accessioned2026-07-07T05:29:26Z
dc.date.available2026-07-07T05:29:26Z
dc.descriptionThe Willmore conjecture states that any immersion F:T^2 -> R^n of a 2-torus into flat euclidean space satisfies $\int_{T^2} H^2\geq 2π^2$. We prove it under the condition that the L^p-norm of the Gaussian curvature is sufficiently small.
dc.description26 pages, Latex2e, 3 figures using pstricks, some minor changes, numbers of theorems and propositions changed
dc.identifierhttps://arxiv.org/abs/math/9906065
dc.identifierhttp://arxiv.org/abs/math/9906065
dc.identifierManuscripta Math. 101, no. 1, 1-22 (2000)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/78637
dc.subjectDifferential Geometry
dc.subject53A05 (Primary) 53A30, 58G30 (Secondary)
dc.titleThe Willmore Conjecture for immersed tori with small curvature integral
dc.typetext

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