JP Journal of Geometry and Topology
Volume 20, Issue 1, Pages 39 - 60
(February 2017) http://dx.doi.org/10.17654/GT020010039 |
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EXTENDED HARMONIC MAPS AND LAGRANGE EQUATIONS
Keiichi Kikuchi
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Abstract: By means of multi-Hamiltonians, it can be proved that a conformal and extended harmonic map between connected Riemannian manifolds is homothetic. Also, it is proved that a conformal and extended harmonic map of a connected, compact Riemannian manifold without boundary to a connected Riemannian manifold is harmonic under a certain condition, by making use of the divergences of stress-energy tensors. |
Keywords and phrases: Lagrange equations, Hamiltonians, extended harmonic map. |
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