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

• Main Author: Chiang, Yuan-Jen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Partial differential equations.; Functions of complex variables.; Differential geometry.; Calculus of variations.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Several Complex Variables and Analytic Spaces.

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 f...