ZERO CONSTANT MEAN CURVATURE SURFACE FAMILY IN MINKOWSKI SPACE

Kahyaoglu S., Kasap E.

JOURNAL OF SCIENCE AND ARTS, no.1, pp.31-38, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.31-38
  • Keywords: Constant mean curvature surface, Spacelike maximal surface, Timelike minimal surface, Frenet frame, MAXIMAL SURFACES, BJORLING PROBLEM
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

We study zero constant mean curvature surface family prescribed by a given curve in Minkowski 3-space. We derive necessary and sufficient condition for zero constant mean curvature surface family prescribed a timelike or spacelike curve. We indicate the condition of a given curve is a geodesic curve or asymptotic curve on zero constant mean curvature surfaces.