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Linear Weingarten Surfaces Foliated by Circles in Minkowski Space

Beygzadeh, Shahla | 2015

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 47326 (02)
  4. University: Sharif University of Technology
  5. Department: Mathematical Sciences
  6. Advisor(s): Fanai, Hamid Reza
  7. Abstract:
  8. In this work, we study spacelike surfaces in Minkowski space E3 1 foliated by pieces of circles that satisfy a linear Weingarten condition of type aH + bK=c, where a, b and c are constants and H and K denote the mean curvature and the Gauss curvature respectively. We show that such surfaces must be surfaces of revolution or surfaces with constant mean curvature H=0 or surfaces with constant Gauss curvature K=0
  9. Keywords:
  10. Minkowski Space ; Weingarten Surface ; Spacelike Surfaces

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