Abstract
In this paper we show that there exists a unique local smooth solution for the Cauchy problem of the inhomogeneous Schrödinger flow for maps from a compact Riemannian manifold M with dim(M) ≤ 3 into a compact Kähler manifold (N, J) with nonpositive Riemannian sectional curvature
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Partially Supported by National University of Singapore Academic Research Fund Grant RP3982718 and the Natural Science Foundation of China: 19701034 (the third author). Work done while the third author was visiting the Department of Mathematics, National University of Singapore; hospitality extended gratefully acknowledged.
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Pang, P.Y.H., Wang, H. & Wang, Y. Local Existence for Inhomogeneous Schrödinger Flow into Kähler Manifolds. Acta Math Sinica 16, 487–504 (2000). https://doi.org/10.1007/s101140000060
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DOI: https://doi.org/10.1007/s101140000060