Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA614.73.SPR FCT 81766 (Browse shelf) | 1 | Available |
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QA614.5.SPR FCT 103629 Advances in noncommutative geometry | QA614.7.SPR FCT 81007 Minimax systems and critical point theory | QA614.7.SPR FCT 96201 Critical point theory for Lagrangian systems | QA614.73.SPR FCT 81766 Developments of harmonic maps, wave maps and Yang-Mills fields into biharmonic maps, biwave maps and Bi-Yang-Mills fields | QA614.8. FCT 95436 Dynamical systems, graphs, and algorithms | QA614.8. FCT 95923 Vector analysis versus vector calculus | QA614.8. FCT 96541 Differential topology |
Colocação: Online
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.
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