On Homotopic Harmonic Maps
- 1 January 1967
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 19, 673-687
- https://doi.org/10.4153/cjm-1967-062-6
Abstract
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 = (x1, … , xn) on M and y = (y1, … , 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.Keywords
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