| Title:
|
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics (English) |
| Author:
|
Gilkey, P. B. |
| Author:
|
Park, J. H. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
1999 |
| Pages:
|
233-240 |
| . |
| Category:
|
math |
| . |
| MSC:
|
53C20 |
| MSC:
|
53C42 |
| MSC:
|
58J32 |
| MSC:
|
58J35 |
| MSC:
|
58J37 |
| idZBL:
|
Zbl 0955.53022 |
| idMR:
|
MR1692489 |
| . |
| Date available:
|
2009-09-24T10:21:54Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127483 |
| . |
| Reference:
|
[1] L. Bérard Bergery and J. P. Bourguignon: Laplacians and Riemannian submersions with totally geodesic fibres.Illinois Journal of Mathematics 26 (1982), 181–200. MR 0650387, 10.1215/ijm/1256046790 |
| Reference:
|
[2] M. Van den Berg and P. Gilkey: Heat content asymptotics of the Dirichlet Laplacian.(to appear). |
| Reference:
|
[3] A. Besse: Einstein Manifolds.Springer Verlag (1987) ISBN 0-387-15279-2. Zbl 1147.53001, MR 0867684 |
| Reference:
|
[4] T. Branson and P. Gilkey: The asymptotics of the Laplacian on a manifold with boundary.Comm on PDE 15 (1990), 245–272. MR 1032631, 10.1080/03605309908820686 |
| Reference:
|
[5] T. Branson, P. Gilkey and D. Vassilevich: The asymptotics of the Laplacian on a manifold with boundary II.Bollettino d’Unione Matematica 7 II-B (1997), 39–67. MR 1456250 |
| Reference:
|
[6] P. Gilkey and J. H. Park: Riemannian submersions which preserve the eigenforms of the Laplacian.Illinois Journal of Mathematics 40 (1996), 194–201. MR 1398089, 10.1215/ijm/1255986099 |
| Reference:
|
[7] S. I. Goldberg and T. Ishihara: Riemannian submersions commuting with the Laplacian.J. Diff. Geo. 13 (1978), 139–144. MR 0520606 |
| Reference:
|
[8] H. P. McKean and I. M. Singer: Curvature and the eigenvalues of the Laplacian.J. Diff. Geo. 1 (1967), 43–69. MR 0217739 |
| Reference:
|
[9] B. Watson: Manifold maps commuting with the Laplacian.J. Diff. Geo. 8 (1973), 85–94. Zbl 0274.53040, MR 0365419 |
| . |
