Abstract
As a first application of the results of Chapter 1 we are going to develop the Lusternik-Schnirelmann theory of (ΛM, 〈 , 〉1, E). In particular, we shall prove the existence of at least one closed geodesic on an arbitrary compact Riemannian manifold, following Lyusternik and Fet.
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© 1978 Sringer-Verlag Berlin Heidelberg
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Klingenberg, W. (1978). The Morse-Lusternik-Schnirelmann Theory on the Manifold of Closed Curves. In: Lectures on Closed Geodesics. Grundlehren der mathematischen Wissenschaften, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61881-9_2
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DOI: https://doi.org/10.1007/978-3-642-61881-9_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-61883-3
Online ISBN: 978-3-642-61881-9
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