عنوان

Differential geometry of varieties with degenerate Gauss maps /

شابک

0387404635

شابک

9780387404639

شماره

dltt

عنوان اصلي

Differential geometry of varieties with degenerate Gauss maps /

نام عام مواد

[Book]

نام نخستين پديدآور

Maks A. Akivis, Vladislav V. Goldberg

نام خاص و کميت اثر

xxi, 255 pages :

ساير جزييات

illustrations ;

ابعاد

24 cm

عنوان فروست

CMS books in mathematics ;

مشخصه جلد

v. 18

متن يادداشت

Includes bibliographical references (pages 221-236) and indexes

متن يادداشت

1. Foundational material -- 1.1 Vector space -- 1.2 Differentiable manifolds -- 1.3 Projective space -- 1.4 Specializations of moving frames -- 1.5 Some algebraic manifolds -- 2. Varieties in projective spaces and their Gauss maps -- 2.1 Varieties in a projective space -- 2.2 The second fundamental tensor and the second fundamental form -- 2.3 Rand and defect of varieties with degenerate Gauss maps -- 2.4 Examples of varieties with degenerate Gauss maps -- 2.5 Application of the duality principle -- 2.6 Hypersurface with a degenerate Gauss map associated with a Veronese variety -- 3. Basic equations of varieties with degenerate Gauss maps -- 3.1 The Monge-Ampère foliation -- 3.2 Focal images -- 3.3 Some algebraic hypersurfaces with degenerate Gauss maps in P⁴ -- 3.4 The Sacksteder-Bourgain hypersurface -- 3.5 Complete varieties with degenerate Gauss maps in real projective and non-Euclidean spaces -- 4. Main structure theorems -- 4.1 Torsal varieties -- 4.2 Hypersurfaces with degenerate Gauss maps -- 4.3 Cones and affine analogue of the Hartman-Nirenberg cylinder theorem -- 4.4 Varieties with degenerate Gauss maps with multiple foci and twisted cones -- 4.5 Reducible varieties with degenerate Gauss maps -- 4.6 Embedding theorems for varieties with degenerate Gauss maps -- 5. Further examples and applications of the theory of varieties with degenerate Gauss maps -- 5.1 Lightlike hypersurfaces in the de Sitter space and their focal properties -- 5.2 Induced connections on submanifolds -- 5.3 Varieties with degenerate Gauss maps associated with smooth lines on projective planes over two-dimensional algebras

بدون عنوان

0

متن يادداشت

"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."--BOOK JACKET

منبع سفارش / آدرس اشتراک

TVG

شماره انبار

63346

موضوع مستند نشده

Gauss maps

موضوع مستند نشده

Geometry, Differential

موضوع مستند نشده

Gauss haritaları

موضوع مستند نشده

Geometri, Diferensiyel

موضوع مستند نشده

QA

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Akivis, M. A., (Maks Aĭzikovich)

مستند نام اشخاص تاييد نشده

Golʹdberg, V. V., (Vladislav Viktorovich)

تاريخ عمليات

20160712072300.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y