Riemannian Geometry:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2004
|
| Edition: | Third Edition |
| Series: | Universitext
|
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Many years have passed since the ?rst edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic - velopments. Here is not the place to relate them. The reader can consult for instance the recent book [Br5]. of our "mentor" Marcel Berger. However,R- mannian Geometry is not only a fascinating ?eld in itself. It has proved to be a precious tool in other parts of mathematics. In this respect, we can quote the major breakthroughs in four-dimensional topology which occurred in the eighties and the nineties of the last century (see for instance [L2]). These have been followed, quite recently, by a possibly successful approach to the Poincar' e conjecture. In another direction, Geometric Group Theory, a very active ?eld nowadays (cf. [Gr6]), borrows many ideas from Riemannian or metric geometry. Butletusstophoggingthelimelight.Thisisjustatextbook.Wehopethatour point of view of working intrinsically with manifolds as early as possible, and testingeverynewnotiononaseriesofrecurrentexamples(seetheintroduction to the ?rst edition for a detailed description), can be useful both to beginners and to mathematicians from other ?elds, wanting to acquire some feeling for the subject |
| Physical Description: | 1 Online-Ressource (XV, 322 p) |
| ISBN: | 9783642188558 9783540204930 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-3-642-18855-8 |
Staff View
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-18855-8 |
| edition | Third Edition |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642188558 9783540204930 |
| issn | 0172-5939 |
| language | English |
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| spelling | Gallot, Sylvestre Verfasser aut Riemannian Geometry by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine Third Edition Berlin, Heidelberg Springer Berlin Heidelberg 2004 1 Online-Ressource (XV, 322 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Many years have passed since the ?rst edition. However, the encouragements of various readers and friends have persuaded us to write this third edition. During these years, Riemannian Geometry has undergone many dramatic - velopments. Here is not the place to relate them. The reader can consult for instance the recent book [Br5]. of our "mentor" Marcel Berger. However,R- mannian Geometry is not only a fascinating ?eld in itself. It has proved to be a precious tool in other parts of mathematics. In this respect, we can quote the major breakthroughs in four-dimensional topology which occurred in the eighties and the nineties of the last century (see for instance [L2]). These have been followed, quite recently, by a possibly successful approach to the Poincar' e conjecture. In another direction, Geometric Group Theory, a very active ?eld nowadays (cf. [Gr6]), borrows many ideas from Riemannian or metric geometry. Butletusstophoggingthelimelight.Thisisjustatextbook.Wehopethatour point of view of working intrinsically with manifolds as early as possible, and testingeverynewnotiononaseriesofrecurrentexamples(seetheintroduction to the ?rst edition for a detailed description), can be useful both to beginners and to mathematicians from other ?elds, wanting to acquire some feeling for the subject Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s 1\p DE-604 Hulin, Dominique Sonstige oth Lafontaine, Jacques Sonstige oth https://doi.org/10.1007/978-3-642-18855-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gallot, Sylvestre Riemannian Geometry Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4128462-8 |
| title | Riemannian Geometry |
| title_auth | Riemannian Geometry |
| title_exact_search | Riemannian Geometry |
| title_full | Riemannian Geometry by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine |
| title_fullStr | Riemannian Geometry by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine |
| title_full_unstemmed | Riemannian Geometry by Sylvestre Gallot, Dominique Hulin, Jacques Lafontaine |
| title_short | Riemannian Geometry |
| title_sort | riemannian geometry |
| topic | Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Mathematics Global differential geometry Differential Geometry Mathematik Riemannsche Geometrie |
| url | https://doi.org/10.1007/978-3-642-18855-8 |
| work_keys_str_mv | AT gallotsylvestre riemanniangeometry AT hulindominique riemanniangeometry AT lafontainejacques riemanniangeometry |