Relation between metric spaces and Finsler spaces

Differential Geometry and its Application

Volumn 26, Issue 5, 2008, Pages 483-494

  Tamássy, Lajos ^a  

^a UNIVERSITY OF DEBRECEN   (Hungary)

Author keywords

Distance spaces; Finsler metric

Indexed keywords

EID: 52749099426     PISSN: 09262245     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.difgeo.2008.04.007     Document Type: Article

References (13)

1. Blumenthal L.M. Theory and Application of Distance Geometry (1953), Clarendon Press, Oxford
2. Benz W. Reelle Abstandräume und hyperbolische Geometrie. Results. Math. 34 (1998) 56-68
3. Bao D., and Chern S.S. A note on the Gauss-Bonnet theorem for Finsler spaces. Ann. Math. 143 (1996) 233-252
4. Bao D., Chern S.S., and Shen Z. An Introduction to Riemann-Finsler Geometry (2000), Springer, New York
5. Busemann H., and Mayer W. On the foundation of calculus of variation. Trans. AMS 49 (1948) 173-198
6. Chern S.S. Finsler geometry is just Riemannian geometry without the quadratic restriction. Notices Amer. Math. Soc. 43 (1996) 959-963
7. Künzi H.P.A. Nonsymmetric distances and their associated topologies: About the origins of basic ideas. In: Aull C.E., and Lowen L. (Eds). Handbook of the History of General Topology, 3 (2001), Kluwer, Dordrecht 853-968
8. Raghavan T.G., and Reilly I.L. Metrizability of quasi-metric spaces. J. London Math. Soc. 15 (1977) 169-172
9. Romaguera S., and Schellenkens M. Quasi-metric properties of complexity spaces. Topology Appl. 98 (1999) 311-323
10. Shen Z. Lecture Notes on Finsler Geometry (1998), Indiana Univ.
11. Stoltenberg R.A. On quasi-metric spaces. Duke Math. J. 36 (1969) 65-71
12. Tamássy L. Point Finsler spaces with metrical linear connections. Publ. Math. Debrecen 56 (2000) 643-655
13. Waszkiewicz P. The local triangle axiom in topology and domain theory. Appl. Gen. Top. 4 (2003) 47-70