Cong Zhou

collaborators

2 papers

math.DG2020

On the Space of $C^{1}$ Regular Curves on Sphere with Constrained Curvature

Cong Zhou

Let $P_{κ_{1}}^{κ_{2}} (P, Q)$ denote the set of $C^{1}$ regular curves in the $2$ -sphere $S^{2}$ that start and end at given points with the co…

math.GT2018

On the Homology of the Space of Curves Immersed in The Sphere with Curvature Constrained to a Prescribed Interval

Cong Zhou

While the topology of the space of all smooth immersed curves on the $2$ -sphere $S^{2}$ that start and end at given points in given directions is well known, it is an open p…

On the Space of C1 Regular Curves on Sphere with Constrained Curvature

On the Homology of the Space of Curves Immersed in The Sphere with Curvature Constrained to a Prescribed Interval

On the Space of $C^{1}$ Regular Curves on Sphere with Constrained Curvature