The Existence of Three Short Closed Geodesics

Wilhelm Klingenberg

A chapter in Differential Geometry and Complex Analysis, 1985, pp 169-179 from Springer

Abstract: Abstract A famous theorem of Lusternik and Schnirelmann [LS] states that, for a Riemannian manifold M given by an arbitrary Riemannian metric on the differentiate 2-sphere, there are at least three closed geodesics without self-intersections. See [Ly] for a more complete proof.

Keywords: Riemannian Manifold; Unstable Manifold; Great Circle; Stable Manifold; Morse Theory (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-3-642-69828-6_12

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