Title:
|
The volume of geodesic disks in a Riemannian manifold (English) |
Author:
|
Kowalski, Oldřich |
Author:
|
Vanhecke, Lieven |
Language:
|
English |
Journal:
|
Czechoslovak Mathematical Journal |
ISSN:
|
0011-4642 (print) |
ISSN:
|
1572-9141 (online) |
Volume:
|
35 |
Issue:
|
1 |
Year:
|
1985 |
Pages:
|
66-77 |
Summary lang:
|
Russian |
. |
Category:
|
math |
. |
MSC:
|
53C21 |
MSC:
|
53C22 |
idZBL:
|
Zbl 0586.53006 |
idMR:
|
MR779337 |
DOI:
|
10.21136/CMJ.1985.101998 |
. |
Date available:
|
2008-06-09T15:03:36Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101998 |
. |
Reference:
|
[1] В. Y. Chen, L. Vanhecke: Differential geometry of geodesic spheres.J. Reine Angew. Math. 325 (1981), 28-67. Zbl 0503.53013, MR 0618545 |
Reference:
|
[2] A. Gray, L. Vanhecke: Riemannian geometry as determined by the volumes of small geodesic balls.Acta Math. 142 (1979), 157-198. Zbl 0428.53017, MR 0521460, 10.1007/BF02395060 |
Reference:
|
[3] A. Gray, L. Vanhecke: The volumes of tubes about curves in a Riemannian manifold.Proc. London Math. Soc. 44 (1982), 215-243. Zbl 0491.53035, MR 0647431 |
Reference:
|
[4] O. Kowalski, L. Vanhecke: Ball-homogeneous and disk-homogeneous Riemannian manifolds.Math. Z. 180 (1982), 429-444. Zbl 0476.53023, MR 0666999, 10.1007/BF01214716 |
Reference:
|
[5] H. S. Ruse A. G. Walker, T. J. Willmore: Harmonic Spaces.Cremonese, Roma, 1961. MR 0142062 |
Reference:
|
[6] L. Vanhecke, T. J. Willmore: Interaction of tubes and spheres.Math. Ann. 263 (1983), 31-42. Zbl 0491.53034, MR 0697328, 10.1007/BF01457081 |
. |