关于受约束曲线空间中的大地线

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-11-11 DOI:10.1016/j.difgeo.2024.102209

Esfandiar Nava-Yazdani

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引用次数: 0

摘要

在这项工作中，我们研究了沉浸曲线空间的某些几何和物理子空间的大地线，这些子空间被赋予了一阶索波列夫度量。这包括弹性曲线，以及将平面同心圆的一些结果扩展到曲面。工作重点是内在和构造方法。

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On geodesics in the spaces of constrained curves

In this work, we study the geodesics of the space of certain geometrically and physically motivated subspaces of the space of immersed curves endowed with a first order Sobolev metric. This includes elastic curves and also an extension of some results on planar concentric circles to surfaces. The work focuses on intrinsic and constructive approaches.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.