Jacobi场方程解的Taylor展开及其应用

ON TAYLOR EXPANSION OF THE SOLUTION OF JACOBI FIELD EQUATION AND APPLICATION

得到了任一Ｒｉｅｍａｎｎ流形上Ｊａｃｏｂｉ场方程解的Ｔａｙｌｏｒ展开．作为推论，得到了Ｒｉｅｍａｎｎ度量用曲率张量与其共变导数来表示的展开式等．

Taylor expansion of the solution of Jacobi field equations was obtained.As a consequence,the expansion represented by curvature tensor and its covariant derivative of Riemann metric was obtained.