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Closed geodesics on geodesic spaces of curvature <∞

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Abstract We show how to use classical methods to prove that a compact, connected, non-contractible geodesic space of curvature ∞ has at least one closed geodesic. Click to show full abstract

Abstract We show how to use classical methods to prove that a compact, connected, non-contractible geodesic space of curvature ∞ has at least one closed geodesic.

Keywords: geodesic spaces; geodesics geodesic; spaces curvature; closed geodesics; curvature

Journal Title: Expositiones Mathematicae
Year Published: 2020

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