Differential Geometry of Varieties with Degenerate Gauss Maps

• Main Authors: Akivis, Maks A. (Author), Goldberg, Vladislav V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2004.
• Series: CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
• Subjects: Mathematics.; Differential geometry.; Differential Geometry.

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 s...

Table of Contents:

• 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.