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Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and bi-Yang-Mills fields / Yuan-Jen Chiang.
| Author/creator | Chiang, Yuan-Jen |
| Other author | Eells, James, 1926-2007. |
| Other author | Sampson, Joseph H., 1925- |
| Format | Electronic |
| Publication Info | Basel ; New York : Birkhäuser/Springer, [2013] |
| Description | xxi, 399 pages ; 25 cm |
| Supplemental Content | Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2013 English International |
| Supplemental Content | Full text available from Springer Books |
| Subjects |
| Series | Frontiers in mathematics, 1660-8046 Frontiers in mathematics. |
| Contents | 1. Harmonic maps -- 2. Wave maps -- 3. Yang-Mills fields -- 4. Biharmonic maps -- 5. Biwave maps -- 6. Bi-Yang-Mills fields -- 7. Exponentially harmonic maps -- 8. Exponential wave maps -- 9. Exponential Yang-Mills connections. |
| Summary | 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 -- P. 4 of cover. |
| General note | "In memory of Professor James Eells and Professor Joseph H. Sampson.--[v.] |
| Bibliography note | Includes bibliographical references (pages 379-395) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2013940741 |
| ISBN | 9783034805339 (pbk. : alk. paper) |
| ISBN | 3034805330 (pbk. : alk. paper) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | ✔ Available |