Homogeneous Finsler spaces
This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study of this rapidly developing field. The increasing activity in Finsler geomet...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2012. |
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'après consultation du 2014-04-30 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Variante du titre: | Mélanges :, Chern |
| Edition sous un autre format: | • Homogeneous Finsler spaces, Shaoqiang Deng, New York, Springer, 2012, 1 vol. (XIV-240 p.), Springer monographs in mathematics, 978-1-461-44243-1 • Homogeneous Finsler Spaces, Texte imprimé, 9781461442455 • Homogeneous Finsler Spaces, Texte imprimé, 9781489994769 • Homogeneous Finsler spaces, Shaoqiang Deng, New York, Springer, 2012, 1 vol. (XIV-240 p.), Springer monographs in mathematics, 978-1-461-44243-1 |
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| 100 | 1 | |a Deng, Shaoqiang. | |
| 240 | 1 | 0 | |a Mélanges : |b Chern |
| 245 | 1 | 0 | |a Homogeneous Finsler spaces |c Shaoqiang Deng. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a New York, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 1 | |a Springer Monographs in Mathematics |x 2196-9922 | |
| 500 | |a Description d'après consultation du 2014-04-30 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface Acknowledgements 1. Introduction to Finsler Geometry 2. Lie Groups and Homogenous Spaces 3. The Group of Isometries 4. Homogeneous Finsler Spaces 5. Symmetric Finsler Spaces 6. Weakly Symmetric Finsler Spaces 7. Homogeneous Randers Spaces References Index. . | |
| 505 | 0 | |a Preface -- Acknowledgements -- 1. Introduction to Finsler Geometry -- 2. Lie Groups and Homogenous Spaces -- 3. The Group of Isometries -- 4. Homogeneous Finsler Spaces -- 5. Symmetric Finsler Spaces -- 6. Weakly Symmetric Finsler Spaces -- 7. Homogeneous Randers Spaces -- References -- Index | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a This book is a unique addition to the existing literature in the field of Finsler geometry. This is the first monograph to deal exclusively with homogeneous Finsler geometry and to make serious use of Lie theory in the study of this rapidly developing field. The increasing activity in Finsler geometry can be attested in large part to the driving influence of S.S. Chern, its proven use in many fields of scientific study such as relativity, optics, geosciences, mathematical biology, and psychology, and its promising reach to real-world applications. This work has potential for broad readership; it is a valuable resource not only for specialists of Finsler geometry, but also for differential geometers who are familiar with Lie theory, transformation groups, and homogeneous spaces. The exposition is rigorous, yet gently engages the reader student and researcher alike in developing a ground level understanding of the subject. A one-term graduate course in differential geometry and elementary topology are prerequisites.In order to enhance understanding, the author gives a detailed introduction and motivation for the topics of each chapter, as well as historical aspects of the subject, numerous well-selected examples, and thoroughly proved main results. Comments for potential further development are presented in Chapters 3 7. A basic introduction to Finsler geometry is included in Chapter 1; the essentials of the related classical theory of Lie groups, homogeneous spaces and groups of isometries are presented in Chapters 2 3. Then the author develops the theory of homogeneous spaces within the Finslerian framework. Chapters 4 6 deal with homogeneous, symmetric and weakly symmetric Finsler spaces. Chapter 7 is entirely devoted to homogeneous Randers spaces, which are good candidates for real world applications and beautiful illustrators of the developed theory | ||
| 650 | |a Espaces homogènes | ||
| 650 | |a Géométrie différentielle globale | ||
| 650 | |a Espaces de Finsler | ||
| 700 | 1 | |a Chern, Shiing-Shen, |d 1911-2004. |4 dte | |
| 776 | 0 | |0 164335803 |t Homogeneous Finsler spaces |f Shaoqiang Deng |c New York |n Springer |d 2012 |p 1 vol. (XIV-240 p.) |s Springer monographs in mathematics |z 978-1-461-44243-1 | |
| 776 | 0 | |t Homogeneous Finsler Spaces |b Texte imprimé |z 9781461442455 | |
| 776 | 0 | |t Homogeneous Finsler Spaces |b Texte imprimé |z 9781489994769 | |
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