Abstract
In this chapter we shall define the Hilbert manifold ΛM of H1-maps of the parameterized circle S into a compact Riemannian manifold M.
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© 1978 Sringer-Verlag Berlin Heidelberg
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Klingenberg, W. (1978). The Hilbert 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_1
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DOI: https://doi.org/10.1007/978-3-642-61881-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-61883-3
Online ISBN: 978-3-642-61881-9
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