The Riemannian manifolds with boundary and large symmetry
| dc.creator | Chen, Zhi | |
| dc.creator | Shi, Yiqian | |
| dc.creator | Xu, Bin | |
| dc.date | 2008-01-07 | |
| dc.date | 2009-05-09 | |
| dc.date.accessioned | 2026-07-07T13:12:53Z | |
| dc.date.available | 2026-07-07T13:12:53Z | |
| dc.description | Sixty years ago, S. B. Myers and N. E. Steenrod ({\it Ann. of Math.} {\bf 40} (1939), 400-416) showed that the isometry group of a Riemannian manifold without boundary has a structure of Lie group. Recently A. V. Bagaev and N. I. Zhukova ({\it Siberian Math. J.} {\bf 48} (2007), 579-592) proved the same result for a Riemannian orbifold. In this paper, we firstly show that the isometry group of a Riemannian manifold $M$ with boundary has dimension at most ${1/2} \dim M (\dim M-1)$. Then we completely classify such Riemannian manifolds with boundary that their isometry groups attain the preceding maximal dimension. | |
| dc.description | The former paper has been replaced by a substantially revised version. Title also changed | |
| dc.identifier | https://arxiv.org/abs/0801.0948 | |
| dc.identifier | http://arxiv.org/abs/0801.0948 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/229716 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C99, 57S15 | |
| dc.title | The Riemannian manifolds with boundary and large symmetry | |
| dc.type | text |