Constant Scalar Curvature of Three Dimensional Surfaces Obtained by the Equiform Motion of a Sphere

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dc.creatorHamdoon, Fathi M.
dc.creatorAli, Ahmad T.
dc.creatorLopez, Rafael
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:54Z
dc.date.available2026-07-07T13:01:54Z
dc.descriptionIn this paper we consider the equiform motion of a sphere in Euclidean space $\mathbf{E}^7$. We study and analyze the corresponding kinematic three dimensional surface under the hypothesis that its scalar curvature $\mathbf{K}$ is constant. Under this assumption, we prove that $|\mathbf{K}|<2$.
dc.description11 pages olly
dc.identifierhttps://arxiv.org/abs/0904.1457
dc.identifierhttp://arxiv.org/abs/0904.1457
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226305
dc.subjectDifferential Geometry
dc.subject53A05; 53A17
dc.titleConstant Scalar Curvature of Three Dimensional Surfaces Obtained by the Equiform Motion of a Sphere
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