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
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhũser, 2013.
• Series: Frontiers in Mathematics,
• Subjects: Mathematics.; Global analysis.; Differential equations, partial.; Global differential geometry.; Mathematical optimization.; Global Analysis and Analysis on Manifolds.; Differential Geometry.; Partial Differential Equations.; Calculus of Variations and Optimal Control; Optimization.; Several Complex Variables and Analytic Spaces.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-0348-0534-6

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...

Table of Contents:

• 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. .