Electron. J. Diff. Equ., Vol. 2014 (2014), No. 118, pp. 1-8.

Geodesics of quadratic differentials on Klein surfaces

Monica Rosiu

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.

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Monica Rosiu
Department of Mathematics
University of Craiova
Craiova 200585, Romania
email: monica_rosiu@yahoo.com

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