ON THE GEODESIC CURVATURE OF A SIMPLE CLOSED CURVE IN ℝ2, THE UNIT SPHERE S2 OR THE HYPERBOLIC PLANE H2

  • SO, JAE-UP (Dept. of Mathematics, Chonbuk National University)
  • Received : 2000.04.10
  • Published : 2000.07.30

Abstract

We establish a sufficient condition for a simple closed curve in the Euclidean plain $\mathbb{R}^2$, the unit sphere $S^2$ or the hyperbolic plane $H^2$ to be the boundary of a metric ball.

Keywords

References

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