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The series de Gruyter Studies in Mathematics was founded ca. 35 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel. The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods, and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the non-specialist.
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Topology --- Differential geometry. Global analysis --- Grassmann manifolds --- Gauss maps --- Piecewise linear topology --- Differential topology --- 514.745 --- Calculus of exterior forms. Grassman algebra --- Differential topology. --- Gauss maps. --- Grassmann manifolds. --- Piecewise linear topology. --- 514.745 Calculus of exterior forms. Grassman algebra
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Differential geometry. Global analysis --- 514.75 --- Curves on surfaces --- Gauss maps --- Singularities (Mathematics) --- Geometry, Algebraic --- Maps, Gauss --- Mappings (Mathematics) --- Minimal surfaces --- Surfaces, Curves on --- Differential geometry in spaces with fundamental groups --- Curves on surfaces. --- Gauss maps. --- Singularities (Mathematics). --- 514.75 Differential geometry in spaces with fundamental groups
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In this book the authors study the differential geometry of varieties with degenerate Gauss maps. They use 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, find focal images and construct a classification of the varieties with degenerate Gauss maps. The authors introduce the above mentioned methods and apply them to a series of concrete problems arising in the theory of varieties with degenerate Gauss maps. What makes this book unique is the authors’ use of a systematic application of methods of projective differential geometry along with methods of the classical algebraic geometry for studying varieties with degenerate Gauss maps. This book is intended for researchers and graduate students interested in projective differential geometry and algebraic geometry and their applications. It can be used as a text for advanced undergraduate and graduate students.
Geometry, Differential --- Gauss maps --- Mathematics --- Physical Sciences & Mathematics --- Geometry --- 514.7 --- 514.7 Differential geometry. Algebraic and analytic methods in geometry --- Differential geometry. Algebraic and analytic methods in geometry --- Mathematics. --- Differential geometry. --- Differential Geometry. --- Differential geometry --- Maps, Gauss --- Mappings (Mathematics) --- Minimal surfaces --- Global differential geometry. --- Geometry, Differential. --- Gauss maps.
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Gauss maps --- Grassmann manifolds --- Minimal surfaces --- #WWIS:MEET --- 514.76 --- Surfaces, Minimal --- Maxima and minima --- Grassmannians --- Differential topology --- Manifolds (Mathematics) --- Maps, Gauss --- Mappings (Mathematics) --- 514.76 Geometry of differentiable manifolds and of their submanifolds --- Geometry of differentiable manifolds and of their submanifolds --- Differential geometry. Global analysis
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