0
$\begingroup$



I am looking for examples of surfaces $M$ with gaussian curvature $K\lt0$ Additionally, a closed geodesic lies on the surface $M$

Thanks

  • 0
    See [here](http://mathoverflow.net/questions/32597/compact-surfaces-of-negative-curvature), or [here](http://math.stackexchange.com/questions/1828277/ruled-surface-of-constant-k-gauss-curvature) for examples. Also [wikipedia](https://en.wikipedia.org/wiki/Differential_geometry_of_surfaces) gives examples. – 2017-01-05
  • 0
    @DietrichBurde the links dont give an answer to the second part of my questions. There is a closed geodesic $\gamma $ on $M$ – 2017-01-06

0 Answers 0