COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS
Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 273-281
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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.
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
@article{10_1017_S0017089511000589,
author = {NAKAMURA, GOU},
title = {COMPACT {NON-ORIENTABLE} {SURFACES} {OF} {GENUS} 5 {WITH} {EXTREMAL} {METRIC} {DISCS}},
journal = {Glasgow mathematical journal},
pages = {273--281},
year = {2012},
volume = {54},
number = {2},
doi = {10.1017/S0017089511000589},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000589/}
}
TY - JOUR AU - NAKAMURA, GOU TI - COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS JO - Glasgow mathematical journal PY - 2012 SP - 273 EP - 281 VL - 54 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000589/ DO - 10.1017/S0017089511000589 ID - 10_1017_S0017089511000589 ER -
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