Electronic Journal of Differential Equations,
Vol. 2014 (2014), No. 118, pp. 1-8.

Title: Geodesics of quadratic differentials on Klein surfaces

Author: Monica Rosiu  (Univ. of Craiova, Romania)

Abstract:
 The objective of this article is to establish the existence of a local
 Euclidean metric associated  with a quadratic differential on a Klein surface,
 and to describe the shortest curve in the neighborhood of a holomorphic point.

Submitted  February 2, 2014. Published April 22, 2014.
Math Subject Classifications: 30F30, 30F35, 30F50.
Key Words: Klein surface; meromorphic quadratic differential; geodesic.