منابع مشابه
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I will review some weak versions of the generalized Morse Lemma (also known as “Splitting Lemma”) for functionals defined on a Hilbert or a Banach manifold and having regularity lower than C. I will discuss the interest of such type of results in relation to the computation of the critical groups. As a case study, I will present that of the action functional of a time-dependent Lagrangian on a ...
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Let M be a compact oriented Riemannian surface with non-positive curvature. Suppose that F : R× [0, ε] → M is an isometric immersion. We show that either M is isometric to flat torus or the image of F is periodic, i.e., it is a periodic flat strip in M. Introduction The results of this paper are related to a well-known problem to the effect that the geodesic flow on the unit tangent bundle of a...
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The paper concerns the C r-closing lemma (r 2) for vector elds with nitely many singularities on an orientable hyperbolic compact surface M which might have nonempty boundary. Let M be an universal cover of M, where is the hyperbolic plane, and let S 1 be the circle at innnity of. Given a nontrivially recurrent semitrajectory l of a ow on M, the asymptotic direction of its lift l can be regarde...
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ژورنال
عنوان ژورنال: Journal of Differential Equations
سال: 1975
ISSN: 0022-0396
DOI: 10.1016/0022-0396(75)90054-6