Geometric interpretation of the invariants of a surface in R^4 via the tangent indicatrix and the normal curvature ellipse

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dc.creatorGanchev, Georgi
dc.creatorMilousheva, Velichka
dc.date2009-05-27
dc.date.accessioned2026-07-07T13:18:38Z
dc.date.available2026-07-07T13:18:38Z
dc.descriptionAt any point of a surface in the four-dimensional Euclidean space we consider the geometric configuration consisting of two figures: the tangent indicatrix, which is a conic in the tangent plane, and the normal curvature ellipse. We show that the basic geometric classes of surfaces in the four-dimensional Euclidean space, determined by conditions on their invariants, can be interpreted in terms of the properties of the two geometric figures. We give some non-trivial examples of surfaces from the classes in consideration.
dc.description13 pages
dc.identifierhttps://arxiv.org/abs/0905.4453
dc.identifierhttp://arxiv.org/abs/0905.4453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/231486
dc.subjectDifferential Geometry
dc.subject53A07; 53A10
dc.titleGeometric interpretation of the invariants of a surface in R^4 via the tangent indicatrix and the normal curvature ellipse
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