THE FLOW-CURVATURE OF CURVES IN A GEOMETRIC SURFACE

被引：1

作者：

Crasmareanu, Mircea ^{[1
]}

机构：

[1] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 04期

关键词：

Two-dimensional Riemannian manifold; geodesic curvature; flow-frame; flow-curvature;

D O I：

10.4134/CKMS.c230024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a fixed parametrization of a curve in an orientable two-dimensional Riemannian manifold, we introduce and investigate a new frame and curvature function. Due to the way of defining this new frame as being the time-dependent rotation in the tangent plane of the standard Frenet frame, both these new tools are called flow.

引用

页码：1261 / 1269

页数：9

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