Hopf conjecture holds for analytic, k-basic Finsler tori without conjugate points

Author:

Gomes José Barbosa,Dias Carneiro Mário J.,Ruggiero Rafael O.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference27 articles.

1. H. Akbar-Zadeh. Sur les espaces de Finsler à courbures sectionnelles constantes. Acad. Roy. Belg. Bull. C1. Sci. (5), 74 (1988), 281–322.

2. D. Bao, S.-S. Chern and Z. Shen. An Introduction to Riemann-Finsler Geometry. Springer, New York (2000).

3. D. Bao and C. Robles. On Ricci and flag curvatures in Finsler geometry, in “A Sampler of Riemann-Finsler Geometry”, MSRI Series, 50 (2004), 197–259.

4. M.L. Bialy. Rigidity for periodic magnetic fields. Ergod. Th. & Dynam. Sys., 20 (2000), 1619–1626.

5. D. Burago and S. Ivanov. Riemannian tori without conjugate points are flat. Geom. Funct. Anal., 4 (1994), 259–269.

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