离散旋转曲面的里奇流，以及与常数高斯曲率的关系

IF 0.7 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-02-01 DOI:10.1016/j.difgeo.2024.102221

Naoya Suda

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引用次数: 0

摘要

从可积系统的角度给出离散常高斯曲率旋转曲面的显式参数化，研究离散曲面的Ricci流，并观察离散旋转曲面如何具有接近我们已参数化的常高斯曲率表面的Ricci流的几何实现。

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Ricci flow of discrete surfaces of revolution, and relation to constant Gaussian curvature

Giving explicit parametrizations of discrete constant Gaussian curvature surfaces of revolution that are defined from an integrable systems approach, we study Ricci flow for discrete surfaces, and see how discrete surfaces of revolution have a geometric realization for the Ricci flow that approaches the constant Gaussian curvature surfaces we have parametrized.

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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.