Local Existence for Inhomogeneous Schrödinger Flow into Kähler Manifolds

Authors
Pang, Peter Y. H. Wang, Hongyu Wang, Youde
Citation
H. Pang, Peter Y. et al., Local Existence for Inhomogeneous Schrödinger Flow into Kähler Manifolds, Acta mathematica Sinica. English series (Print) , 16(3), 2000, pp. 487-504
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
16
Issue
3
Year of publication
2000
Pages
487 - 504
Database
ACNP
SICI code
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