Behavior of the Gaussian curvature of timelike minimal surfaces with singularities
Behavior of the Gaussian curvature of timelike minimal surfaces with singularities
We prove that the sign of the Gaussian curvature, which is closely related to the diagonalizability of the shape operator, of any timelike minimal surface in the 3-dimensional Lorentz-Minkowski space is determined by the degeneracy and the signs of the two null regular curves that generate the surface. We also …