### About this book

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.

Each author has published over 100 papers and they have each
written a number of books, including Conformal Differential Geometry
and Its Generalizations (Wiley 1996), Projective Differential Geometry
of Submanifolds (North-Holland 1993), and Introductory Linear Algebra
(Prentice-Hall 1972), which were written by them jointly.

Written for:

2nd year graduate students, mathematics researchers