By Maks A. Akivis, Vladislav V. Goldberg
During this e-book the authors learn the differential geometry of types with degenerate Gauss maps. They use the most tools of differential geometry, specifically, the tools of relocating frames and external differential kinds in addition to tensor equipment. by way of those equipment, the authors detect the constitution of sorts with degenerate Gauss maps, ensure the singular issues and singular forms, locate focal photos and build a class of the kinds with degenerate Gauss maps.
The authors introduce the above pointed out equipment and observe them to a sequence of concrete difficulties bobbing up within the thought of types with degenerate Gauss maps. What makes this e-book detailed is the authors' use of a scientific software of equipment of projective differential geometry in addition to equipment of the classical algebraic geometry for learning forms with degenerate Gauss maps.
This booklet is meant for researchers and graduate scholars attracted to projective differential geometry and algebraic geometry and their purposes. it may be used as a textual content for complex undergraduate and graduate scholars.
Both authors have released over a hundred papers every one. each one has written a few books, together with Conformal Differential Geometry and Its Generalizations (Wiley 1996), Projective Differential Geometry of Submanifolds (North-Holland 1993), and Introductory Linear Algebra (Prentice-Hall 1972), which have been written by way of them together.