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Length Inequalities for Systems of Geodesic loops on a Surface of Genus Two: 1
Author(s) -
Griffiths David
Publication year - 1996
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/28.5.505
Subject(s) - mathematics , geodesic , genus , surface (topology) , extension (predicate logic) , pure mathematics , simple (philosophy) , group (periodic table) , symmetry (geometry) , inequality , domain (mathematical analysis) , combinatorics , geometry , mathematical analysis , zoology , computer science , physics , philosophy , epistemology , quantum mechanics , programming language , biology
We give some length inequality results on systems of simple closed non‐dividing geodesies on a compact surface of genus two. One result gives a new characterisation of the octahedral surface, that is, the genus two surface whose symmetry group is a Z 2 ‐extension of that of the platonic solid. This work has applications towards studying Maskit's fundamental domain for the mapping class group in genus two.