319 research outputs found
A Viscosity Method for the Min-Max Construction of Closed Geodesics
We present a viscosity approach to the min-max construction of closed
geodesics on compact Riemannian manifolds of arbitrary dimension. We also
construct counter-examples in dimension and to the
-regularity in the convergence procedure. Furthermore, we prove
the lower semi-continuity of the index of our sequence of critical points
converging towards a closed non-trivial geodesic
The Classification of Branched Willmore Spheres in the -Sphere and the -Sphere
We extend the classification of Robert Bryant of Willmore spheres in to
variational branched Willmore spheres and show that they are inverse
stereographic projections of complete minimal surfaces with finite total
curvature in and vanishing flux. We also obtain a classification
of variational branched Willmore spheres in , generalising a theorem of
Seb\'{a}stian Montiel. As a result of our asymptotic analysis at branch points,
we obtain an improved regularity of the unit normal of variational
branched Willmore surfaces in arbitrary codimension. We also prove that the
width of Willmore sphere min-max procedures in dimension and , such as
the sphere eversion, is an integer multiple of .Comment: 74 pages, 1 figur
Télévision, moyens d’information et comportement électoral
La campagne électorale qui a précédé les consultations de l'automne 1962 et l'analyse des résultats qui les ont suivies ont fourni à la presse l'occasion d'un grand nombre d'articles sur l'effet des moyens d'information, et en particulier de la télévision (...)
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