Matches in DBpedia 2014 for { ?s ?p "A (smooth) map φ:M→N between Riemannian manifolds M and N is called harmonic if it is a critical point of the Dirichlet energy functionalThis functional E will be defined precisely below—one way of understanding it is to imagine that M is made of rubber and N made of marble (their shapes given by their respective metrics), and that the map φ:M→N prescribes how one "applies" the rubber onto the marble: E(φ) then represents the total amount of elastic potential energy resulting from tension in the rubber. "@en }
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- Harmonic_map comment "A (smooth) map φ:M→N between Riemannian manifolds M and N is called harmonic if it is a critical point of the Dirichlet energy functionalThis functional E will be defined precisely below—one way of understanding it is to imagine that M is made of rubber and N made of marble (their shapes given by their respective metrics), and that the map φ:M→N prescribes how one "applies" the rubber onto the marble: E(φ) then represents the total amount of elastic potential energy resulting from tension in the rubber. ".