Framed Curve Families Induced by Real and Complex Coupled Dispersionless-Type Equations
In this study, we investigate coupled real and complex dispersionless equations for curve
families, even if they have singular points. Even though the connections with the differential …
families, even if they have singular points. Even though the connections with the differential …
Singular Surfaces of Osculating Circles in Three-Dimensional Euclidean Space
K Liu, Z Li, D Pei - Mathematics, 2023 - mdpi.com
In this paper, we study the surfaces of osculating circles, which are the sets of all osculating
circles at all points of regular curves. Since the surfaces of osculating circles may be …
circles at all points of regular curves. Since the surfaces of osculating circles may be …