摘要
利用古典微分几何方法,讨论了在平行映射下测地线不变的曲面若干局部性质;研究了该类曲面的测地坐标系,并最终得出满足该条件的曲面只有三类.
By the classical theory of differential geometry, we get some local properties of surfaces which keep geodesics corresponding under parallel mapping. Moreover, we discuss the geodesic coordinates of these kind of surfaces and finally proved that only three kins of surfaces satisfy the precondition.
出处
《纯粹数学与应用数学》
CSCD
2014年第3期280-285,共6页
Pure and Applied Mathematics
基金
北京市教委科技面上项目(KM201211232017)
北京市委组织部优秀人才培养资助项目(2012D005007000005)
关键词
平行曲面
测地线
测地极坐标
测地平行坐标系
parallel surface
geodesics
geodesic polar coordinates
geodesic parallel coordinates
