The group of isometries of a Finsler space

Pacific Journal of Mathematics

Volumn 207, Issue 1, 2002, Pages 149-155

  Deng, Shaoqiang ^a   Hou, Zixin ^a  

^a NANKAI UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036869180     PISSN: 00308730     EISSN: None     Source Type: Journal    
DOI: 10.2140/pjm.2002.207.149     Document Type: Article

References (7)

1. D. Bao, S.S. Chern and Z. Shen, An Introduction to Riemannian-Finsler Geometry, Springer-Verlag, Berlin, 1999, MR 2001g:53130, Zbl 0954.53001.
2. S. Bochner and D. Montgomery, Locally compact groups of differentiable transformations, Ann. of Math., 47 (1946), 639-653, MR 8,253c, Zbl 0061.04407.
3. S. Helgason, Differential Geometry, Lie Groups and Symmetric Spaces, 2nd ed., Academic Press, New York, 1978, MR 80k:53081, Zbl 0451.53038.
4. S. Kobayashi, Transformation Groups in Differential Geometry, Springer-Verlag, Berlin, 1972, MR 50 #8360, Zbl 0246.53031.
5. S.B. Myers and N. Steenrod, The group of isometries of a Riemannian manifold, Ann. of Math., 40 (1939), 400-416, Zbl 0021.06303.
6. R. Palais, On the differentiability of isometries, Proc. Math. AMS., 8 (1957), 805-807, MR 19,451a, Zbl 0084.37405.
7. D. van Dantzig and B.L. van der Waerden, Über metriseh homogene räume, Abh. Math. Sem. Univ. Hamburg, 6 (1928), 374-376.