Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields [[electronic resource] /] / by Yuan-Jen Chiang
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| Autore: |
Chiang Yuan-Jen
|
| Titolo: |
Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields [[electronic resource] /] / by Yuan-Jen Chiang
|
| Pubblicazione: | Basel : , : Springer Basel : , : Imprint : Birkhäuser, , 2013 |
| Edizione: | 1st ed. 2013. |
| Descrizione fisica: | 1 online resource (418 p.) |
| Disciplina: | 514.74 |
| 516.373 | |
| Soggetto topico: | Global analysis (Mathematics) |
| Manifolds (Mathematics) | |
| Differential geometry | |
| Partial differential equations | |
| Calculus of variations | |
| Functions of complex variables | |
| Global Analysis and Analysis on Manifolds | |
| Differential Geometry | |
| Partial Differential Equations | |
| Calculus of Variations and Optimal Control; Optimization | |
| Several Complex Variables and Analytic Spaces | |
| Altri autori: |
EellsJames <1926-2007.>
SampsonJoseph H. <1925->
|
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | Preface. 1 Harmonic Maps -- 2 Wave Maps.-3 Yang-Mills Fields -- 4 Biharmonic Maps -- 5 Biwave Maps -- 6 Bi-Yang-Mills Fields.-7 Exponential Harmonic Maps.-8 Exponential Wave Maps -- 9. Exponential Yang-Mills Connections -- Index. . |
| Sommario/riassunto: | Harmonic maps between Riemannian manifolds were first established in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing harmonic maps) were introduced in 1986. The book presents an overview of the important developments made in these fields since they first came up. Furthermore, it introduces biwave maps (generalizing wave maps) which were first studied in 2009, and bi-Yang-Mills fields (generalizing Yang-Mills fields) first investigated in 2008. Other topics discussed are exponential harmonic maps, exponential wave maps and exponential Yang-Mills fields. |
| Titolo autorizzato: | Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields |
| ISBN: | 3-0348-0534-9 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910438143503321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Frontiers in Mathematics, . 1660-8046