CMC-surfaces, flat structures and umbilical points

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dc.creatorNikolaev, Igor
dc.date2001-04-06
dc.date.accessioned2026-07-07T12:33:15Z
dc.date.available2026-07-07T12:33:15Z
dc.descriptionA short proof of the Caratheodory conjecture about index of an isolated umbilic on the convex 2-dimensional sphere is suggested. The argument is based on the study of geodesic lines near cone-type singularity of a metric induced by holomorphic quadratic differentials.
dc.identifierhttps://arxiv.org/abs/math/0104081
dc.identifierhttp://arxiv.org/abs/math/0104081
dc.identifierBuletinul Acad. de Sci. Moldova, Matematica 41 (2003), 83-90
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217058
dc.subjectDifferential Geometry
dc.subject30F30; 53A07; 58F10
dc.titleCMC-surfaces, flat structures and umbilical points
dc.typetext

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