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.
Show me the PDF file (193 KB), TEX file, and other files for this article.
| Monica Rosiu |
Department of Mathematics
University of Craiova
Craiova 200585, Romania
Return to the EJDE web page