Differential Geometry of Varieties with Degenerate Gauss Maps:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2004
|
| Series: | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XXI, 255 p.) 16 illus |
| ISBN: | 9780387215112 9781441923394 |
| ISSN: | 1613-5237 |
| DOI: | 10.1007/b97221 |
Staff View
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Record in the Search Index
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
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| id | DE-604.BV042418900 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:03Z |
| institution | BVB |
| isbn | 9780387215112 9781441923394 |
| issn | 1613-5237 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027854317 |
| oclc_num | 875606270 |
| open_access_boolean | |
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| physical | 1 Online-Ressource (XXI, 255 p.) 16 illus |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Springer New York |
| record_format | marc |
| series2 | CMS Books in Mathematics, Ouvrages de mathématiques de la SMC |
| spelling | Akivis, Maks A. Verfasser aut Differential Geometry of Varieties with Degenerate Gauss Maps by Maks A. Akivis, Vladislav V. Goldberg New York, NY Springer New York 2004 1 Online-Ressource (XXI, 255 p.) 16 illus txt rdacontent c rdamedia cr rdacarrier CMS Books in Mathematics, Ouvrages de mathématiques de la SMC 1613-5237 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 Mathematics Global differential geometry Differential Geometry Mathematik Gauß-Abbildung (DE-588)4156105-3 gnd rswk-swf Projektive Differentialgeometrie (DE-588)4175883-3 gnd rswk-swf Projektive Differentialgeometrie (DE-588)4175883-3 s Gauß-Abbildung (DE-588)4156105-3 s 1\p DE-604 Goldberg, Vladislav V. Sonstige oth https://doi.org/10.1007/b97221 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Akivis, Maks A. Differential Geometry of Varieties with Degenerate Gauss Maps Mathematics Global differential geometry Differential Geometry Mathematik Gauß-Abbildung (DE-588)4156105-3 gnd Projektive Differentialgeometrie (DE-588)4175883-3 gnd |
| subject_GND | (DE-588)4156105-3 (DE-588)4175883-3 |
| title | Differential Geometry of Varieties with Degenerate Gauss Maps |
| title_auth | Differential Geometry of Varieties with Degenerate Gauss Maps |
| title_exact_search | Differential Geometry of Varieties with Degenerate Gauss Maps |
| title_full | Differential Geometry of Varieties with Degenerate Gauss Maps by Maks A. Akivis, Vladislav V. Goldberg |
| title_fullStr | Differential Geometry of Varieties with Degenerate Gauss Maps by Maks A. Akivis, Vladislav V. Goldberg |
| title_full_unstemmed | Differential Geometry of Varieties with Degenerate Gauss Maps by Maks A. Akivis, Vladislav V. Goldberg |
| title_short | Differential Geometry of Varieties with Degenerate Gauss Maps |
| title_sort | differential geometry of varieties with degenerate gauss maps |
| topic | Mathematics Global differential geometry Differential Geometry Mathematik Gauß-Abbildung (DE-588)4156105-3 gnd Projektive Differentialgeometrie (DE-588)4175883-3 gnd |
| topic_facet | Mathematics Global differential geometry Differential Geometry Mathematik Gauß-Abbildung Projektive Differentialgeometrie |
| url | https://doi.org/10.1007/b97221 |
| work_keys_str_mv | AT akivismaksa differentialgeometryofvarietieswithdegenerategaussmaps AT goldbergvladislavv differentialgeometryofvarietieswithdegenerategaussmaps |