FOLIATION ON A SURFACE OF CONSTANT CURVATURE AND SOME NONLINEAR EVOLUTION EQUATIONS
Citation：
Tian chou.FOLIATION ON A SURFACE OF CONSTANT CURVATURE AND SOME NONLINEAR EVOLUTION EQUATIONS[J].Chinese Annals of Mathematics B,1988,9(1):118~122
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Authors：
Tian chou;
Abstract：
In this paper, the author explains the solutions of Sine-Gordon equation and KdV equation as the geodesic curvature of the leaves of a foliation on a surface of constant
curvature and negative constant curvature respectively. Therefore, a question which was asked in a paper of S. S. Chern and K.Tenenblat is answered.
