Titlebook: Lie Sphere Geometry; With Applications to Thomas E. Cecil Book 2008Latest edition Springer-Verlag New York 2008 Dimension.Grad.curvature.di

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Lie Sphere Transformations,mine the group of transformations which preserve the fundamental geometric properties of the space. All of these groups are quotient groups or subgroups of some orthogonal group determined by an indefinite scalar product on a real vector space. As a result, the theorem of Cartan and Dieudonné, prove

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Dupin Submanifolds,tion of proper Dupin submanifolds with two principal curvatures (cyclides of Dupin) in Section 5.4 and the classification of proper Dupin hypersurfaces with three principal curvatures in R. in Section 5.7. To obtain these classifications, we develop the method of moving Lie frames which can be used

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On Equivalent Harmonic and Stochastic Linearization for Nonlinear Shock-Absorbersrameters are not known precisely experimental methods are necessary to estimate the parameters of the linearized model..In the present paper we investigate the dynamics of automobile shock-absorbers using equivalent linearization techniques. After a short review of the theory experimental results are given.

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