All regular Landsberg metrics are Berwald

Annals of Global Analysis and Geometry

Volumn 34, Issue 4, 2008, Pages 381-386

  Szabó, Zoltán Imre ^a,b  

^a CITY UNIVERSITY OF NEW YORK   (United States)

^b ALFRÉD RÉNYI INSTITUTE OF MATHEMATICS   (Hungary)

Author keywords

Berwald metrics; Finsler geometry; Landsberg metrics

Indexed keywords

EID: 54849198000     PISSN: 0232704X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10455-008-9115-y     Document Type: Article

References (13)

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3. Asanov, G.S.: Finsleroid-Finsler space with Berwald and Landsberg conditions. arXiv: math.DG/0603472 (2006)
4. G.S. Asanov 2007 Finsleroid-Finsler space and geodesic spray coefficients Publ. Math. Debrecen 71 397 412
5. Bao, D.: Unicorns in Finsler geometry. Preprint (2006)
6. Bao, D.: On two curvature-driven problems in Riemann-Finsler geometry. Adv. Stud. Pure Math. (2007) (to appear)
7. Bao, D., Chern, S.S., Shen, Z.: An introduction to Riemann-Finsler Geometry. Graduate Texts in Mathematics, vol. 200. Springer (2000)
8. Bryant, R.: Announcement on several occasions since 2002
9. G. Landsberg 1907 Über die Totalkrümmung Jahresber. deutsch. Math.-Verein. 16 36 46
10. Rund, H.: The Differential Geometry of Finsler Spaces. Springer-Verlag (1959)
11. Shen, Z.: On Landsberg (α, β)-metrics. Preprint (2006)
12. Z.I. Szabó 1981 Positive definite Berwald spaces (Structure theorems) Tensor (N.S.) 35 25 39
13. Szabó, Z.I.: Berwald metrics constructed by Chevalley's polynomials. arXiv:math.DG/0601522 (2006)