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Geography and the Properties of Surfaces. The Use of the Geodesic Curvature in the Determination of Geodesic Lines

机译：地理和表面的性质。测地曲率在测地线测定中的应用

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摘要

The paper introduces a method for the determination of geodesic lines based on the variation of the geodesic curvature at the points of a curved surface. (Author)

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作者
Lindgren, C. E. S.;
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年度 1969
页码 p.1-15
总页数 15
原文格式 PDF
正文语种 eng
中图分类
关键词
Geodesics ; Geometry ; Geography ; Curved profiles ; Graphics ; Position finding;

机译：测地线;几何;地理;曲线轮廓;图形;定位;

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专利

1. Republication of: On the deviation of geodesics and null-geodesics, particularly in relation to the properties of spaces of constant curvature and indefinite line-element [J] . J. L. Synge General Relativity and Gravitation . 2009,第5期

机译：共和：关于测地线和零地线学的偏差，特别是关于等曲率和不确定线元空间的性质
2. Editorial note to: J. L. Synge, On the deviation of geodesics and null geodesics, particularly in relation to the properties of spaces of constant curvature and indefinite line-element and to: F. A. E. Pirani, On the physical significance of the Riemann tensor [J] . Andrzej Trautman General Relativity and Gravitation . 2009,第5期

机译：编者注：J. L. Synge，关于大地测量学和零大地测量学的偏差，特别是关于恒定曲率和不确定线元素的空间的特性，以及：F. A. E. Pirani，关于黎曼张量的物理意义
3. Republication of: On the deviation of geodesics and null-geodesics, particularly in relation to the properties of spaces of constant curvature and indefinite line-element (Reprinted from Annals of Mathematics, vol 35, pg 705-713, 1934) [J] . Synge JL General Relativity and Gravitation: GRG Journal . 2009,第5期

机译：的共和国：关于测地线和零地线学的偏差，尤其是关于恒定曲率和不确定线元素的空间的特性（转载自《数学年鉴》，第35卷，第705-713页，1934年）
4. Geodesic mappings of compact quasi-Einstein spaces with constant scalar curvature [C] . V. Kiosak, A. Savchenko, A. Kamienieva International On-line Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2020

机译：恒定标量曲率的紧凑Quasi-Einstein空间的测距映射
5. On statistical properties of geodesic flows on negatively curved surfaces. [D] . Dolgopiat, Dmitri. 1997

机译：关于负曲面上的测地流量的统计特性。
6. On the Metrical Transitivity of the Geodesics on a Surface of Constant Negative Curvature [O] . Gustav A. Hedlund 1934

机译：常负曲率面上测地线的度量传递性
7. Flat Moebius strips of given isotopy types in R^3 whose centerlines are geodesics or lines of curvature [O] . Kurono, Yasuhiro, Umehara, Masaaki 2007

机译：R ^ 3中给定同位素类型的扁平moebius条带，其中心线为测地线或曲率线
8. Geography and the Properties of Surfaces. The Determination of Fixed-Points in Finite-Dimensional Spaces [R] . Lindgren, C. E. S. 1970

机译：地理和表面的性质。有限维空间中不动点的确定

Geography and the Properties of Surfaces. The Use of the Geodesic Curvature in the Determination of Geodesic Lines

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