Introduction to Möbius Differential Geometry / (Record no. 41454)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 02297nam a22003738a 4500 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9780511546693 (ebook) |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.3/6 |
| 100 1# - MAIN ENTRY--AUTHOR NAME | |
| Personal name | Hertrich-Jeromin, Udo, |
| 245 10 - TITLE STATEMENT | |
| Title | Introduction to Möbius Differential Geometry / |
| Statement of responsibility, etc | Udo Hertrich-Jeromin. |
| 260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
| Place of publication | Cambridge : |
| Name of publisher | Cambridge University Press, |
| Year of publication | 2003. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | 1 online resource (428 pages) : |
| Other physical details | digital, PDF file(s). |
| 490 0# - SERIES STATEMENT | |
| Series statement | London Mathematical Society Lecture Note Series ; |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 16 Oct 2015). |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Möbius geometry are presented: the classical projective model, the quaternionic approach, and an approach that uses the Clifford algebra of the space of homogeneous coordinates of the classical model; the use of 2-by-2 matrices in this context is elaborated. For each model in turn applications are discussed. Topics comprise conformally flat hypersurfaces, isothermic surfaces and their transformation theory, Willmore surfaces, orthogonal systems and the Ribaucour transformation, as well as analogous discrete theories for isothermic surfaces and orthogonal systems. Certain relations with curved flats, a particular type of integrable system, are revealed. Thus this book will serve both as an introduction to newcomers (with background in Riemannian geometry and elementary differential geometry) and as a reference work for researchers. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical Term | Differential geometry |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1017/CBO9780511546693 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | E-BOOKS |
| 264 #1 - | |
| -- | Cambridge : |
| -- | Cambridge University Press, |
| -- | 2003. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| Withdrawn status | Lost status | Damaged status | Not for loan | Current library | Accession Number | Uniform Resource Identifier | Koha item type |
|---|---|---|---|---|---|---|---|
| IMSc Library | EBK12160 | http://dx.doi.org/10.1017/CBO9780511546693 | E-BOOKS |