Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 44, 2019, 965-972

CHARACTERIZING HYPERELLIPTIC SURFACES IN TERMS OF CLOSED GEODESICS

Daniel Gallo

St. John's University
Staten Island, New York, U.S.A.; gallod 'at' stjohns.edu

Abstract. We give a characterization of hyperelliptic surfaces in terms of simple, closed geodesics on the surfaces and graphs associated to these geodesics.

2010 Mathematics Subject Classification: Primary 30F45; Secondary 30F10.

Key words: Fuchsian group, involution, geodesics.

Reference to this article: D. Gallo: Characterizing hyperelliptic surfaces in terms of closed geodesics. Ann. Acad. Sci. Fenn. Math. 44 (2019), 965-972.

Full document as PDF file

https://doi.org/10.5186/aasfm.2019.4450