Menu
Home
Advanced Search
Directory of Libraries
Languages
فارسی
English
العربی
عنوان
Conformal Geometry of Surfaces in S4 and Quaternions.
پدید آورنده
Francis E Burstall
موضوع
رده
QA3
.
F736
2004
کتابخانه
Center and Library of Islamic Studies in European Languages
محل استقرار
استان:
Qom
ـ شهر:
Qom
تماس با کتابخانه :
32910706
-
025
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
3540453016
(Number (ISBN
9783540453017
NATIONAL BIBLIOGRAPHY NUMBER
Number
b566095
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Conformal Geometry of Surfaces in S4 and Quaternions.
General Material Designation
[Book]
First Statement of Responsibility
Francis E Burstall
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Berlin, Heidelberg
Name of Publisher, Distributor, etc.
Springer Berlin / Heidelberg
Date of Publication, Distribution, etc.
2004
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
(98 pages).
SERIES
Series Title
Lecture Notes in Mathematics Ser.
CONTENTS NOTE
Text of Note
Intro; 1 Quaternions; 1.1 The Quaternions; 1.2 The Group; 2 Linear Algebra over the Quaternions; 2.1 Linear Maps, Complex Quaternionic Vector Spaces; 2.2 Conformal Maps; 3 Projective Spaces; 3.1 Projective Spaces and Affine Coordinates; 3.2 Metrics on HPn; 3.3 Moebius Transformations on HP1; 3.4 Two-Spheres in S4; 4 Vector Bundles; 4.1 Quaternionic Vector Bundles; 4.2 Complex Quaternionic Bundles; 4.3 Holomorphic Quaternionic Bundles; 5 The Mean Curvature Sphere; 5.1 S-Theory; 5.2 The Mean Curvature Sphere; 5.3 Hopf Fields; 5.4 The Conformal Gauss Map; 6 Willmore Surfaces. 6.1 The Energy Functional6.2 The Willmore Functional; 7 Metric and Affine Conformal Geometry; 7.1 Surfaces in Euclidean Space; 7.2 The Mean Curvature Sphere in Affine Coordinates; 7.3 The Willmore Condition in Affine Coordinates; 8 Twistor Projections; 8.1 Twistor Projections; 8.2 Super-Conformal Immersions; 9 Bäcklund Transforms of Willmore Surfaces; 9.1 Bäcklund Transforms; 9.2 Two-Step Bäcklund Transforms; 10 Willmore Surfaces in; 10.1 Surfaces in; 10.2 Hyperbolic 2-Planes; 10.3 Willmore Surfaces in and Minimal Surfaces in Hyperbolic 4-Space; 11 Spherical Willmore Surfaces in. 11.1 Complex Line Bundles: Degree and Holomorphicity11.2 Spherical Willmore Surfaces; 12 Darboux tranforms; 12.1 Riccati equations; 12.2 Constant mean curvature surfaces in; 12.3 Darboux transforms of Willmore surfaces; 13 Appendix; 13.1 The bundle; 13.2 Holomorphicity and the Ejiri/Montiel theorem; Blank Page; Blank Page; Blank Page; Blank Page.
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA3
Book number
.
F736
2004
PERSONAL NAME - PRIMARY RESPONSIBILITY
Francis E Burstall
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Dirk Ferus
Francis E Burstall
Franz Pedit
Katrin Leschke
Ulrich Pinkall
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب
[Book]
Y
Proposal/Bug Report
×
Proposal/Bug Report
×
Warning!
Enter The Information Carefully
Error Report
Proposal