Geometry of biharmonic mappings: differential geometry of variational methods/ Hajime Urakawa

Includes bibliography

Part 1: Fundamental materials on the theory of harmonic maps and biharmonic maps - Part 2: Rigidity and abundance of biharmonic maps -- Part 3: Biharmonic submanifolds -- Part 4: Further developments on biharmonic maps

The author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.
Readership: Researchers in global analysis, geometry, calculus of variations and partial differential equations.