Geodesic Triangles in H² with Short Sides
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Published:2022-10-17
Issue:
Volume:
Page:468-472
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ISSN:2705-1056
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Container-title:Contemporary Mathematics
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language:
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Short-container-title:Contemporary Mathematics
Abstract
We prove that if M is an orientable hyperbolic surface without boundary (possibly compact, possibly with infinitely generated fundamental group) and γ is a closed geodesic in M then any side of any triangle formed by distinct lifts of γ in H2 is shorter than γ.
Publisher
Universal Wiser Publisher Pte. Ltd