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Differential Geometry of Varieties with Degenerate Gauss Maps
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Artikel-Nr:
9780387404639
Veröffentl:
2003
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
11.11.2003
Seiten:
280
Autor:
Vladislav V. Goldberg
Gewicht:
588 g
Format:
241x160x21 mm
Serie:
CMS Books in Mathematics
Sprache:
Englisch
Beschreibung:
This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods. The authors illustrate 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.
In this book, the authors study the differential geometry of varietieswith degenerate Gauss maps. They use the main methods of differentialgeometry, namely, the method of moving frames and exteriordifferential forms as well as tensor methods. This book is intendedfor researchers and graduate students who are interested in projectivedifferential geometry and algebraic geometry and their applications.
Foundational Material.- Varieties in Projective Spaces and Their Gauss Maps.- Basic Equations of Varieties with Degenerate Gauss Maps.- Main Structure Theorems.- Further Examples and Applications of the Theory of Varieties with Degenerate Gauss Maps.