Differential Geometry of Varieties with Degenerate Gauss Maps

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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Akivis, Maks A. (Συγγραφέας), Goldberg, Vladislav V. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2004.
Σειρά:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02977nam a22004575i 4500
001 978-0-387-21511-2
003 DE-He213
005 20151204152945.0
007 cr nn 008mamaa
008 121227s2004 xxu| s |||| 0|eng d
020 |a 9780387215112  |9 978-0-387-21511-2 
024 7 |a 10.1007/b97221  |2 doi 
040 |d GrThAP 
050 4 |a QA641-670 
072 7 |a PBMP  |2 bicssc 
072 7 |a MAT012030  |2 bisacsh 
082 0 4 |a 516.36  |2 23 
100 1 |a Akivis, Maks A.  |e author. 
245 1 0 |a Differential Geometry of Varieties with Degenerate Gauss Maps  |h [electronic resource] /  |c by Maks A. Akivis, Vladislav V. Goldberg. 
264 1 |a New York, NY :  |b Springer New York :  |b Imprint: Springer,  |c 2004. 
300 |a XXI, 255 p. 16 illus.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,  |x 1613-5237 
505 0 |a 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. 
520 |a  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. 
650 0 |a Mathematics. 
650 0 |a Differential geometry. 
650 1 4 |a Mathematics. 
650 2 4 |a Differential Geometry. 
700 1 |a Goldberg, Vladislav V.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781441923394 
830 0 |a CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,  |x 1613-5237 
856 4 0 |u http://dx.doi.org/10.1007/b97221  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
912 |a ZDB-2-BAE 
950 |a Mathematics and Statistics (Springer-11649)