Morse Relations for Geodesics on Stationary Lorentzian Manifolds with Boundary
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چکیده
Morse theory relates the set of critical points of a smooth functional defined on a Hilbert manifold to the topology of the manifold itself. Morse himself gave the first application of his theory to Riemannian geometry (cf. [6, 11, 12]), proving two very nice and famous results. In order to recall them, consider a Riemannian manifold (M, 〈 · , · 〉x) with Riemannian structure 〈 · , · 〉x. A curve γ : ]a, b[→M is said to be a geodesic if
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تاریخ انتشار 1995