an:04217412
Zbl 0771.53027
Ta??manov, I. A.
On the existence of three closed not self-intersecting geodesics on manifolds homeomorphic to a two-dimensional sphere
RU
Izv. Ross. Akad. Nauk, Ser. Mat. 56, No. 3, 605-635 (1992).
00009271
1992
j
53C22
deformation for curves; three geodesics theorem; Besicovitch's covering lemma
The author constructs a local combinatorial length-decreasing deformation for curves on a surface and gives a complete proof of the Lusternik-Schnirelman three geodesics theorem. The steps of the proof use Besicovitch's covering lemma and are similar to \textit{J. Jost} [Arch. Math. 53, No. 5, 497--509 (1989; Zbl 0676.58018)] with certain amendments of the text.
V. Yu. Rovenskii (Krasnoyarsk)
Zbl 0689.58007; Zbl 0676.58018