The heat flow on manifolds. Existence and uniqueness of harmonic maps into nonpositively curved image manifolds
Chapter
Abstract
In order to warm up, we shall first present the linear case, i.e. look at
where 0 ≤ t < ∞, x ∈ N, where N is a compact Riemannian manifold of dimension n, and α(·, t) and α 0 are k-forms on N.
$$\frac{{\partial \alpha (x,t)}}{{\partial t}} - {\Delta ^ - }\alpha (x,t) = 0$$
(3.1.1)
$$\alpha (x,0) = {\alpha _0}(x)$$
(3.1.2)
Keywords
Local Existence Closed Geodesic Compact Riemannian Manifold Christoffel Symbol Harmonic Form
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© Springer Basel AG 1991