Poincaré’s closed geodesic on a convex surface
نویسندگان
چکیده
منابع مشابه
Poincaré’s Closed Geodesic on a Convex Surface
We present a new proof for the existence of a simple closed geodesic on a convex surface M . This result is due originally to Poincaré. The proof uses the 2k-dimensional Riemannian manifold kΛM = (briefly) Λ of piecewise geodesic closed curves on M with a fixed number k of corners, k chosen sufficiently large. In Λ we consider a submanifold ≈ Λ0 formed by those elements of Λ which are simple re...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2004
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-04-03444-0