- Mathematical Sciences and Applications E-Notes
- Volume:2 Issue:2
- SHADOW LEMMA ON FINSLER MANIFOLDS OF HYPERBOLIC TYPE
SHADOW LEMMA ON FINSLER MANIFOLDS OF HYPERBOLIC TYPE
Authors : CYRIAQUE ATINDOGBE, CARLOSOGOUYANDJOU
Pages : 76-88
Doi:10.36753/mathenot.207624
View : 35 | Download : 8
Publication Date : 2014-12-01
Article Type : Research Paper
Abstract :Let insert ignore into journalissuearticles values(M, F ); be a compact Finsler manifold of hyperbolic type, ˜MFbe its universal Finslerian covering and αFthe critical exponent of the groupof the deck transformations of ˜F. In this paper we prove the existence of anαF-Busemann quasi-density on the Gromov boundary ˜MGinsert ignore into journalissuearticles values(∞); of ˜. Furthermore, we generalize the Shadow lemma to the compact Finsler manifoldsof hyperbolic typeKeywords : Finsler manifold, Gromov hyperbolic manifold, Busemann quasidensity, Shadow lemma
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