lie sphere geometry: with applications to submanifolds/ (Record no. 177070)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 00392nam a2200145Ia 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 3540977473 |
| 040 ## - CATALOGING SOURCE | |
| Transcribing agency | CUS |
| 082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.36 |
| Item number | CEC/L |
| 100 ## - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Cecil,Thomas E. |
| 245 #0 - TITLE STATEMENT | |
| Title | lie sphere geometry: with applications to submanifolds/ |
| Statement of responsibility, etc. | Thomas E.Cecil |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication, distribution, etc. | New York: |
| Name of publisher, distributor, etc. | Springer-Verlag, |
| Date of publication, distribution, etc. | 1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 207p. |
| 505 ## - FORMATTED CONTENTS NOTE | |
| Formatted contents note | <br/>Chapter 1 — Lie Sphere Geometry 8<br/>1.1 Preliminaries ®<br/>1.2 Moebius Geometry of Unoriented Spheres 11<br/>1.3 Lie Geometry of Oriented Spheres 15<br/>1.4 Geometry of Hyperspheres in S and// 19<br/>1.5 Oriented Contact and Parabolic Pencils of Spheres 22<br/>Chapter 2 - Lie Sphere Transformations 29<br/>2.1 The Fundamental Theorem 29<br/>2.2 Generation of the Lie Sphere Group by Inversions 36<br/>2.3 Geometric Description of Inversions 42<br/>2.4 Laguerre Geometry 47<br/>2.5 Sub Geometries of Lie Sphere Geometry 59<br/>Chapters - Legendre Submanifolds 65<br/>3.1 Contact Structure 65<br/>3.2 Definition of Legendre Submanifolds 73<br/>3.3 The Legendre Map 7,8<br/>3.4 Curvature Spheres and Parallel Submanifolds 84<br/>3.5 Lie Curvatures of Legendre Submanifolds 95<br/>xii Contents<br/>3.6 Taut Submanifolds 108<br/>3.7 Compact Proper Dupin Submanifolds 113"<br/>Chapter 4 — Dupin Submanifolds 129<br/>4.1 Local Constructions 129<br/>4.2 Reducible Dupin Submanifolds 130<br/>4.3 Cyclides of Dupin 150<br/>4.4 Principal Lie Frames 159<br/>4.5 Half-Invariant Differentiation 166<br/>4.6 Dupin Hypersurfaces in 4-Space 171<br/> |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | General Books |
| Withdrawn status | Lost status | Damaged status | Not for loan | Home library | Current library | Shelving location | Date acquired | Full call number | Accession number | Date last seen | Koha item type |
|---|---|---|---|---|---|---|---|---|---|---|---|
| Central Library, Sikkim University | Central Library, Sikkim University | General Book Section | 29/08/2016 | 516.36 CEC/L | P32072 | 29/08/2016 | General Books |