Concept information
Terme préférentiel
harmonic map
Définition(s)
- In the mathematical field of differential geometry, a smooth map between Riemannian manifolds is called harmonic if its coordinate representatives satisfy a certain nonlinear partial differential equation. This partial differential equation for a mapping also arises as the Euler-Lagrange equation of a functional called the Dirichlet energy. As such, the theory of harmonic maps contains both the theory of unit-speed geodesics in Riemannian geometry and the theory of harmonic functions. (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Harmonic_map)
Concept(s) générique(s)
Traductions
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français
URI
http://data.loterre.fr/ark:/67375/MDL-WRCVZPR1-N
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