用给定的Grassman图像证明了Minkowsky空间中有边曲面的存在性

Q3 Mathematics

Proceedings of the International Geometry Center Pub Date : 2018-06-10 DOI:10.15673/TMGC.V11I1.917

M. Grechneva, P. Stegantseva

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引用次数: 0

摘要

利用Minkowsky空间的Grassman像在全局方面考虑了Minkowsky空间中非各向同性曲面的发现问题。这个问题可以简化为二阶偏微分方程解的存在性的证明。本文讨论的是双曲情况。一种描述了表面运动框架的专门化技术。该技术基于闵可夫斯基空间的度量特性。

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The existence of the surface with edge in Minkowsky space with the given Grassman image

One considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper deals with the hyperbolic case. One describes the technique of the specialization of the moving frame of the surface. This technique is based on the metric properties of Minkowsky space.

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来源期刊

Proceedings of the International Geometry Center Mathematics-Geometry and Topology

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

3 weeks