참고문헌
- A. L. Besse, Manifolds All of Whose Geodesics are Closed, Ergebnisse der Mathematik und ihrer Grenzgebiete, 93, Springer-Verlag, Berlin, 1978.
- G. Besson, G. Courtois, and S. Gallot, Entropies et rigidites des espaces localement symetriques de courbure strictement negative, Geom. Funct. Anal. 5 (1995), no. 5, 731-799. https://doi.org/10.1007/BF01897050
- D. Burago and S. Ivanov, Riemannian tori without conjugate points are flat, Geom. Funct. Anal. 4 (1994), no. 3, 259-269. https://doi.org/10.1007/BF01896241
- D. Burago and S. Ivanov, On asymptotic volume of Finsler tori, minimal surfaces in normed spaces, and symplectic filling volume, Ann. of Math. (2) 156 (2002), no. 3, 891-914. https://doi.org/10.2307/3597285
- E. Damek and F. Ricci, A class of nonsymmetric harmonic Riemannian spaces, Bull. Amer. Math. Soc. (N.S.) 27 (1992), no. 1, 139-142. https://doi.org/10.1090/S0273-0979-1992-00293-8
- P. Foulon, Estimation de l'entropie des systemes lagrangiens sans points conjugues, Ann. Inst. H. Poincare Phys. Theor. 57 (1992), no. 2, 117-146.
- A. Freire and R. Mane, On the entropy of the geodesic flow in manifolds without conjugate points, Invent. Math. 69 (1982), no. 3, 375-392. https://doi.org/10.1007/BF01389360
- C.-W. Kim, Finsler manifolds without conjugate points and with integral Ricci curvature, Israel J. Math. 189 (2012), 135-146. https://doi.org/10.1007/s11856-011-0129-y
- C.-W. Kim, Compact Finsler manifolds without focal points, Arch. Math. (Basel) 99 (2012), no. 4, 387-392. https://doi.org/10.1007/s00013-012-0435-6
- A. Ranjan and H. Shah, Harmonic manifolds with minimal horospheres, J. Geom. Anal. 12 (2002), no. 4, 683-694. https://doi.org/10.1007/BF02930658
- Z. Shen, Lectures on Finsler Geometry, World Scientific Publishing Co., Singapore, 2001.
- Z. I. Szabo, The Lichnerowicz conjecture on harmonic manifolds, J. Differential Geom. 31 (1990), no. 1, 1-28. https://doi.org/10.4310/jdg/1214444087
- N. Zinov'ev, Examples of Finsler metrics without conjugate points: metrics of rotation, St. Petersburg Math. J. 20 (2009), 361-379. https://doi.org/10.1090/S1061-0022-09-01052-8