Helix, shadow boundary and minimal submanifolds

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dc.creatorRuiz-Hernandez, Gabriel
dc.date2007-06-11
dc.date.accessioned2026-07-07T08:04:57Z
dc.date.available2026-07-07T08:04:57Z
dc.descriptionInspired by a Blaschke's work about analytic convex surfaces, we study {\em shadow boundaries} of Riemannian submanifolds $M$, which are defined by a parallel vector field along $M$. Since a shadow boundary is just a closed subset of $M$, first, we will give a condition that guarantee its smoothness. It depends on the second fundamental form of the submanifold. It is natural to search for what kind of properties might have such submanifolds of $M$? Could they be totally geodesic or minimal? Answers to these and related questions are given in this work.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0706.1524
dc.identifierhttp://arxiv.org/abs/0706.1524
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/130149
dc.subjectDifferential Geometry
dc.subject53C40, 53C42
dc.titleHelix, shadow boundary and minimal submanifolds
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