| 平行映射下保测地线的曲面 |
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| 引用本文： | 苏农,刘玲. 平行映射下保测地线的曲面[J]. 纯粹数学与应用数学, 2014, 0(3): 280-285 |
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| 作者姓名： | 苏农 刘玲 |
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| 作者单位： | 北京信息科技大学理学院数学系,北京100192 |
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| 基金项目： | 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） |
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| 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.
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| 关 键 词： | 平行曲面 测地线 测地极坐标 测地平行坐标系 |
Surface which keep geodesics corresponding under parallel mapping |
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| Su Nong,Liu Ling. Surface which keep geodesics corresponding under parallel mapping[J]. Pure and Applied Mathematics, 2014, 0(3): 280-285 |
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| Authors: | Su Nong Liu Ling |
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| Affiliation: | (Department of Mathematics, Beijing Information Science and Technology University, Beijing 100192, China) |
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| Abstract: | 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. |
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| Keywords: | parallel surface geodesics geodesic polar coordinates geodesic parallel coordinates |
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