On the existence of geodesics on stationary Lorentz manifolds with convex boundary
نویسندگان
چکیده
منابع مشابه
Morse Relations for Geodesics on Stationary Lorentzian Manifolds with Boundary
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...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1991
ISSN: 0022-1236
DOI: 10.1016/0022-1236(91)90162-x