ON THE RECONSTRUCTION OF THE VARIATION OF THE METRIC TENSOR OF A SURFACE ON THE BASIS OF A GIVEN VARIATION OF CHRISTOFFEL SYMBOLS OF THE SECOND KIND UNDER INFINITESIMAL DEFORMATIONS OF SURFACES IN THE EUCLIDEAN SPACE E_3

I. V. Potapenko

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ON THE RECONSTRUCTION OF THE VARIATION OF THE METRIC TENSOR OF A SURFACE ON THE BASIS OF A GIVEN VARIATION OF CHRISTOFFEL SYMBOLS OF THE SECOND KIND UNDER INFINITESIMAL DEFORMATIONS OF SURFACES IN THE EUCLIDEAN SPACE E_3

机译：基于欧洲空间E_3中表面无限变形的第二类克里斯托夫符号的给定变化来重建表面的度量张量变化

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We investigate the problem of reconstruction of the variation of the metric tensor of a surface on the basis of a given variation of Christoffel symbols of the second kind under infinitesimal deformations of surfaces in the Euclidean space E_3 .

机译：我们基于欧氏空间E_3中表面的无穷小变形下，根据第二类Christoffel符号的给定变化，研究重构表面度量张量的问题。

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《Ukrainian mathematical journal》 |2011年第4期|共8页
作者
I. V. Potapenko;
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正文语种 eng
中图分类数学;
关键词
RECONSTRUCTION; VARIATION; TENSOR;

机译：重构;变化;张量;

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专利

1. ON THE RECONSTRUCTION OF THE VARIATION OF THE METRIC TENSOR OF A SURFACE ON THE BASIS OF A GIVEN VARIATION OF CHRISTOFFEL SYMBOLS OF THE SECOND KIND UNDER INFINITESIMAL DEFORMATIONS OF SURFACES IN THE EUCLIDEAN SPACE E_3 [J] . I. V. Potapenko Ukrainian mathematical journal . 2011,第4期

机译：基于欧洲空间E_3中表面无限变形的第二类克里斯托夫符号的给定变化来重建表面的度量张量变化
2. INFINITESIMAL DEFORMATIONS OF TIME-LIKE SURFACES IN MINKOWSKI 3-SPACE [J] . Zuo Dafeng, Chen Qing, Cheng Yi, Acta Mathematica Scientia . 2004,第4期

机译：MINKOWSKI 3空间中类似时间的表面的无穷变形
3. INFINITESIMAL DEFORMATIONS OF TIME-LIKE SURFACES IN MINKOWSKI 3-SPACE [J] . 左达峰, 陈卿, 程艺, 数学物理学报（英文版） . 2004,第004期

机译：MINKOWSKI 3空间中类似时间的表面的无穷变形
4. Metric Tensor and Christoffel Symbols Based 3D Object Categorization [C] . Syed Altaf Ganihar, Shreyas Joshi, Shankar Setty, Asian conference on computer vision . 2015

机译：基于度量张量和Christoffel符号的3D对象分类
5. Gauss maps and moduli spaces of minimal surfaces in Euclidean spaces. [D] . Mo, Xiaokang. 1990

机译：欧几里得空间中最小曲面的高斯图和模空间。
6. Proxy-based reconstructions of hemispheric and global surface temperature variations over the past two millennia [O] . Michael E. Mann, Zhihua Zhang, Malcolm K. Hughes, 2016

机译：过去两千年中基于代理的半球和全球表面温度变化的重建
7. Infinitesimal conformal deformations of triangulated surfaces in space [O] . Lam, Wai Yeung, Pinkall, Ulrich 2017

机译：空间三角形表面的无穷小共形变形
8. Variations de Structure de Hodge et Zero-Cycles sur les Surfaces Generales (Variations of the Hodge Structure and Zerocycles on General Surfaces) [R] . Voisin, C. 1993

机译：变形结构de Hodge et Zero-Cycles sur les surfaces Generales（Hodge结构和一般表面上的Zerocycles的变化）

ON THE RECONSTRUCTION OF THE VARIATION OF THE METRIC TENSOR OF A SURFACE ON THE BASIS OF A GIVEN VARIATION OF CHRISTOFFEL SYMBOLS OF THE SECOND KIND UNDER INFINITESIMAL DEFORMATIONS OF SURFACES IN THE EUCLIDEAN SPACE E_3

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