| 论高斯的几何学思想及其意义 |
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| 引用本文： | 陈惠勇.论高斯的几何学思想及其意义[J].太原理工大学学报(社会科学版),2010,28(1):44-48. |
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| 作者姓名： | 陈惠勇 |
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| 作者单位： | 江西师范大学,数学与信息科学学院,江西,南昌,330022 |
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| 摘 要： | 高斯的几何学思想意在揭示欧氏几何不具有惟一的（物理的）必然性，而高斯的内蕴微分几何学则深刻地揭示了几何空间的非欧本质。文章考察高斯几何学思想中几个核心概念的发现及其深远意义，探究高斯几何学思想的思维轨迹及其与现代微分几何的联系。
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| 关 键 词： | 高斯 测地线 弯曲空间的度量 内蕴微分几何 |
Study on the Thought and the Significance of Gauss' Geometry |
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| CHEN Hui-yong.Study on the Thought and the Significance of Gauss' Geometry[J].Journal of Taiyuan University of Technology(Social Sciences Edition),2010,28(1):44-48. |
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| Authors: | CHEN Hui-yong |
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| Institution: | CHEN Hui-yong (College of Mathematics , Information Science,Jiangxi Normal University,Nanchang Jiangxi 330022,China) |
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| Abstract: | The thought of Gauss' geometry is intended to reveal that the Euclidean geometry does not have the only physics necessity.Gauss' intrinsic differential geometry,however,has deeply revealed the Non-Euclidean nature of geometry spaces.This paper studies on the discovery of the core concepts and its far-reaching significance of the thought of Gauss' geometry.The thinking path of Gauss' geometry is reconstructed historically,and the relations between Gauss' geometry and modern differential geometry are discusse... |
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| Keywords: | Gauss Geodesic Measure of curved spaces Intrinsic Differential Geometry |
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