Geodesic
COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS
Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 273-281

Voir la notice de l'article provenant de la source Cambridge University Press

A compact hyperbolic surface of genus g is called an extremal surface if it admits an extremal disc, a disc of the largest radius determined by g. Our problem is to find how many extremal discs are embedded in non-orientable extremal surfaces. It is known that non-orientable extremal surfaces of genus g > 6 contain exactly one extremal disc and that of genus 3 or 4 contain at most two. In the present paper we shall give all the non-orientable extremal surfaces of genus 5, and find the locations of all extremal discs in those surfaces. As a consequence, non-orientable extremal surfaces of genus 5 contain at most two extremal discs.
DOI : 10.1017/S0017089511000589
Mots-clés : 30F50, 30F40 
NAKAMURA, GOU. COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS. Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 273-281. doi: 10.1017/S0017089511000589
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