Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324-2012

The existence of the surface with edge in Minkowsky space with the given Grassman image

DOI: 10.15673/tmgc.v11i1.917 (rus)

  • Marina Grechneva
  • Polina Stegantseva

Abstract | Full Text: One considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper deals with the hyperbolic case. One describes the technique of the specialization of the moving frame of the surface. This technique is based on the metric properties of Minkowsky space.

Keywords:

  • Minkowski space, Grassman image, timelike surface