Commun. Korean Math. Soc. 2023; 38(4): 1261-1269
Online first article October 13, 2023 Printed October 31, 2023
Copyright © The Korean Mathematical Society.
University ``Al. I. Cuza"
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.
Keywords: Two-dimensional Riemannian manifold, geodesic curvature, flow-frame, flow-curvature
MSC numbers: Primary 53A04, 53A45, 53A55
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