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Thursday, May 7, 2020 | History

12 edition of **Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics)** found in the catalog.

- 3 Want to read
- 7 Currently reading

Published
**November 11, 2003**
by Springer
.

Written in English

The Physical Object | |
---|---|

Number of Pages | 255 |

ID Numbers | |

Open Library | OL7445823M |

ISBN 10 | 0387404635 |

ISBN 10 | 9780387404639 |

Math - Differential Geometry Professor Gluck February 7, 3. THE GEOMETRY OF THE GAUSS MAP Goal. Learn how surfaces in 3-space are curved. Outline Pages 5 - The Gauss map S = orientable surface in R3 with choice N of unit normal. Definition of the Gauss map N: S S2. Its differential dNp: TpS TpS 2 = T Size: 1MB. 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.

projective differential geometry Download projective differential geometry or read online books in PDF, EPUB, Tuebl, and Mobi Format. Click Download or Read Online button to get projective differential geometry book now. This site is like a library, Use search box in the widget to get ebook that you want. Thiago Fassarella, Foliations with Degenerate Gauss maps on ℙ 4 Joseph M. Landsberg, Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties Elisabetta Colombo, Gian Pietro Pirola, Alfonso Tortora, Hodge-gaussian mapsCited by:

Purchase 'Lectures On Classical Differential Geometry: Second Edition By Dirk Jan Struik And Mathematics online. Buy ISBN at 9% discount by Dover Publications. Quick Delivery, Justified pricing only at Elementary Differential Geometry Curves and Surfaces. The purpose of this course note is the study of curves and surfaces, and those are in general, curved. The book mainly focus on geometric aspects of methods borrowed from linear algebra; proofs will only be included for those properties that are important for the future development.

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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 Format: Hardcover. 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.

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. This book surveys the differential geometry of varieties with degenerate Gauss maps, using moving frames and exterior differential forms as well as tensor methods.

Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics) (English Edition) eBook: Akivis, Maks A., Goldberg, Vladislav V.: : Tienda KindleFormat: Kindle. 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.

Abstract. In Sectionwe define the Monge-Ampère foliation associated with a variety with a degenerate Gauss map of dimension n, derive the basic equations of varieties with degenerate Gauss maps, and prove a characteristic property of such varieties (the Monge—Ampère foliation has flat leaves) of any of their plane the end of Sectionfor varieties with degenerate Author: Maks A.

Akivis, Vladislav V. Goldberg. 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 : Maks A.

Akivis, Vladislav V. Goldberg. Differential geometry of varieties with degenerate Gauss maps. By Maks A Akivis and Vladislav V Goldberg. Cite. BibTex; Full citation; Topics: Mathematical Physics and Mathematics.

Publisher: Springer. Year: Cited by: The authors study in detail new types of varieties with degenerate Gauss maps: varieties with multiple foci and their particular case, the so-called twisted cones. Discover the list of some best books written on Differential Geometry by popular award winning authors.

These book on topic Differential Geometry highly popular among the readers worldwide. Differential Geometry of Varieties with Degenerate Gauss Maps By Maks A.

Akivis Rating: /5. I WANT TO READ THIS. e-books in Differential Geometry category An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms.

This book gives a treatment of exterior differential systems. Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant.

Find many great new & used options and get the best deals for CMS Books in Mathematics: Differential Geometry of Varieties with Degenerate Gauss Maps by Maks A.

Akivis and Vladislav V. Goldberg (, Paperback) at the best online prices at eBay. Free shipping for many products. Mor(X;Y) is the set of all maps from Xto Y, is the ordinary composition of maps, 1 X is the identity map of X.

Isomorphisms of this category are the bijective maps. Two sets are isomorphic in this category if and only if they have the same cardinality.

Aut(X) is the group of. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books.

4, Books ; 77, Articles Differential Geometry of Varieties with Degenerate Gauss Maps (CMS Books in Mathematics) Springer. Differential Geometry of Varieties with Degenerate Gauss Maps. Springer. Maks A. Akivis. Differential Geometry of Varieties with Degenerate Gauss Maps.

By Maks A. Akivis and Vladislav V Goldberg. Springer-Verlag, New York, $ xxii+ pp., hardcover. ISBN The study of the Gauss map of algebraic varieties falls into the fields of the so-called projective-differential geometry. Let us re. Author of An Introduction to Linear Algebra and Tensors, Geometry and Algebra of Multidimensional Three-Webs, and Differential Geometry of Varieties with Degenerate Gauss Maps/5(8).

Review of the book: Differential Geometry of Varieties with\ud Degenerate Gauss Maps. By Maks A. Akivis\ud and Vladislav V. Goldberg. Springer-Verlag,New\ud York, $ xxii+ pp., hardcover.\ud ISBN Author: MEZZETTI E. ALGEBRAIC GEOMETRY AND PROJECTIVE DIFFERENTIAL GEOMETRY SEOUL NATIONAL UNIVERSITY CONCENTRATED LECTURE SERIES, J.M.

Landsberg September, Contents. Introduction 1. Examples of homogeneous varieties 2. Auxilliary varieties 3. Topology and consequences 4.

Projective diﬀerential invariants 5. Varieties with degenerate Gauss images 6. Differential geometry is a mathematical discipline that uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra to study problems in theory of plane and space curves and surfaces in the three-dimensional Euclidean space formed the basis for development of differential geometry during the 18th century and the 19th century.

The final chapter deals with solving a degenerate Monge–Ampère equation by constructing a family of Einstein–Kähler metrics on the smooth part of minimal varieties of general kind. This book is a valuable resource for graduate students and pure mathematicians.Key words.

developable varieties, tangentially degenerate varieties, de-generate Gauss mapping. Let X ⊂ P N be an irreducible projective variety of dimension n.The Gauss map provides a mapping from every point on a curve or a surface to a corresponding point on a unit sphere In differential geometry, the Gauss map (named after Carl F.

Gauss) maps a surface in Euclidean space R 3 to the unit sphere S 2.