Titlebook: Differential Geometry of Varieties with Degenerate Gauss Maps; Maks A. Akivis,Vladislav V. Goldberg Textbook 2004 Springer-Verlag New York

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1613-5237 the main methods of differential geometry, namely, the methods of moving frames and exterior differential forms as well as tensor methods. By means of these methods, the authors discover the structure of varieties with degenerate Gauss maps, determine the singular points and singular varieties, fin

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Wie der Schall soziale Räume schafftauss maps without singularities, in Section 3.4, we introduce and investigate an important class of varieties with degenerate Gauss maps without singularities, the so-called Sacksteder-Bourgain hypersurface, in the affine space A., and in Section 3.5, we consider complete parabolic varieties in Riemannian spaces of constant curvature.

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Foundational Material,we consider the main topics associated with differentiable manifolds: tangent spaces, frame bundles, mappings, exterior differential calculus, Cartan’s lemma, completely integrable systems, the Frobenius theorem, Cartan’s test for a system in involution, the structure equations of a differentiable m

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Varieties in Projective Spaces and Their Gauss Maps,ntal tensor and the second fundamental form, and the asymptotic lines and asymptotic cone) associated with a variety in a projective space ℙ., in Section 2.3, we define the rank of a variety and varieties with degenerate Gauss maps. In Section 2.4, we consider the main examples of varieties with deg

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