Geometry of Harmonic Maps
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|Y. L. Lin, Fudan University, Shanghai, China|
|A book which, though not a complete description of the theory, provides an introduction and an approach useful to researchers and graduate students in differential geometry, geometric analysis, differential equations and theoretical physics. Harmonic maps are solutions to a natural geometric variational problem motivated by some fundamental ideas from differential geometry, in particular geodesics, minimal surfaces, and harmonic functions. Harmonic maps are also closely related to nonlinear partial differential equations, holomorphic maps in several complex variables, the theory of stochastic processes, the nonlinear field theory in theoretical physics, and the theory of liquid crystals in materials science.|
|Resource Types:||Books, Bibliographies|
|Math Topics:||Several Complex Vars./Analytic Spaces, Partial Differential Equations, Differential Geometry|
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