All regular Landsberg metrics are Berwald

Alvarez Paiva, J.C., Fernandez, E.: Crofton formulas for projective Finsler spaces. Electr. Res. Announc. 4, 91–100 (1998)

Alvarez Paiva, J.C., Fernandez, E.: Fourier transforms and the Holmes–Thompson volume of Finsler manifolds. Math. Res. Not. 19, 1031–1042 (1999)

Asanov, G.S.: Finsleroid–Finsler space with Berwald and Landsberg conditions. arXiv: math.DG/0603472 (2006)

Asanov, G.S.: Finsleroid–Finsler space and geodesic spray coefficients. Publ. Math. Debrecen 71, 397–412 (2007)

Bao, D.: Unicorns in Finsler geometry. Preprint (2006)

Bao, D.: On two curvature-driven problems in Riemann–Finsler geometry. Adv. Stud. Pure Math. (2007) (to appear)

Bao, D., Chern, S.S., Shen, Z.: An introduction to Riemann–Finsler Geometry. Graduate Texts in Mathematics, vol. 200. Springer (2000)

Bryant, R.: Announcement on several occasions since 2002

Landsberg, G.: Über die Totalkrümmung. Jahresber. deutsch. Math.-Verein. 16, 36–46 (1907)

Rund, H.: The Differential Geometry of Finsler Spaces. Springer-Verlag (1959)

Shen, Z.: On Landsberg (α, β)-metrics. Preprint (2006)

Szabó, Z.I.: Positive definite Berwald spaces (Structure theorems). Tensor (N.S.) 35, 25–39 (1981)

Szabó, Z.I.: Berwald metrics constructed by Chevalley’s polynomials. arXiv:math.DG/0601522 (2006)