#### Event Title

A Characterization of Rectifying Curves and Sphere Curves in R^3

#### Location

Buller Hall

#### Start Date

2-26-2016 2:30 PM

#### End Date

2-26-2016 4:00 PM

#### Description

Under an extra condition on the constant curvature, Ye Lim and Dr. Yun M. Oh have found the series solution when the ratio of torsion to curvature is a linear function. Furthermore, it is known as a rectifying curve by B.Y. Chen’s work. In this project, we will figure out a different approach to characterize the rectifying curve by looking at the unit speed curve with nonzero curvature if every rectifying plane of the curve passes through a fixed point called in R3. Secondly, I will find some conditions on the ratio for sphere curves.

A Characterization of Rectifying Curves and Sphere Curves in R^3

Buller Hall

Under an extra condition on the constant curvature, Ye Lim and Dr. Yun M. Oh have found the series solution when the ratio of torsion to curvature is a linear function. Furthermore, it is known as a rectifying curve by B.Y. Chen’s work. In this project, we will figure out a different approach to characterize the rectifying curve by looking at the unit speed curve with nonzero curvature if every rectifying plane of the curve passes through a fixed point called in R3. Secondly, I will find some conditions on the ratio for sphere curves.

## Acknowledgments

Dr. Oh