Geodesic
On Homotopic Harmonic Maps
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 673-687

Voir la notice de l'article provenant de la source Cambridge University Press

Let M, M′ be C∞ Riemann manifolds such that(1.0) M is compact;(1.1) M′ is complete and its sectional curvatures are non-positive.In terms of local coordinates x = (x 1, ... , xn ) on M and y = (y 1, ... , ym ) on M′, let the respective Riemann elements of arc-length be and Γijk , Γ′αβγ be the corresponding Christoffel symbols. When there is no danger of confusion, x (or y) will represent a point of M (or M′) or its coordinates in some local coordinate system. 
Hartman, Philip. On Homotopic Harmonic Maps. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 673-687. doi: 10.4153/CJM-1967-062-6
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