منابع مشابه
K-theory of Morse geodesics
We develop the K-theory of a C∗–algebra Oλ which represents the leaf space of measured foliations studied by Novikov, Masur, Thurston and Veech. The K-theory construction is based on the coding of geodesic lines due to Koebe and Morse. This method allows to calculate the range of Elliott group (K0, K + 0 , [1]) of Oλ, to establish a condition of strict ergodicity of the interval exchange transf...
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Let f ∈ C(M,R) be a functional defined on a Hilbert manifold M. It is well known that if f is a Morse functional (i.e. every critical point of f is nondegenerate) and f satisfies the so called Palais–Smale condition, the Morse relations hold. More precisely, let x ∈ M be a critical point of f , and m(x, f) denote the Morse index at x (i.e. the maximal dimension of the subspaces of TxM where the...
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2015
ISSN: 0046-5755,1572-9168
DOI: 10.1007/s10711-015-0107-3