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#### Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

Springer 2013; US$ 79.95Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson 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... more...

#### Harmonic Mappings in the Plane

Cambridge University Press 2004; US$ 92.00A comprehensive account, treating both the generalizations of univalent analytic functions and the connections with minimal surfaces. more...

#### Harmonic Maps, Loop Groups, and Integrable Systems

Cambridge University Press 1997; US$ 44.00University-level introduction that leads to topics of current research in the theory of harmonic maps. more...

#### Harmonic Maps, Conservation Laws and Moving Frames

Cambridge University Press 2002; US$ 124.00Accessible and pedagogical introduction to the theory of harmonic maps, covering recent results and applications. more...

#### The Analysis of Harmonic Maps and Their Heat Flows

World Scientific Publishing Company 2008; US$ 135.00This book provides a broad yet comprehensive introduction to the analysis of harmonic maps and their heat flows. The first part of the book contains many important theorems on the regularity of minimizing harmonic maps by Schoen–Uhlenbeck, stationary harmonic maps between Riemannian manifolds in higher dimensions by Evans and Bethuel, and weakly... more...

#### Partial Regularity For Harmonic Maps And Related Problems

World Scientific Publishing Company 2005; US$ 189.00The book presents a collection of results pertaining to the partial regularity of solutions to various variational problems, all of which are connected to the Dirichlet energy of maps between Riemannian manifolds, and thus related to the harmonic map problem. The topics covered include harmonic maps and generalized harmonic maps; certain perturbed... more...

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