@article{CMJ_1999_49_2_a1,
author = {Gilkey, P. B. and Park, J. H.},
title = {The {Bochner} {Laplacian,} {Riemannian} submersions, heat content asymptotics, and heat equation asymptotics},
journal = {Czechoslovak Mathematical Journal},
pages = {233--240},
year = {1999},
volume = {49},
number = {2},
mrnumber = {1692489},
zbl = {0955.53022},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMJ_1999_49_2_a1/}
}
TY - JOUR AU - Gilkey, P. B. AU - Park, J. H. TI - The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics JO - Czechoslovak Mathematical Journal PY - 1999 SP - 233 EP - 240 VL - 49 IS - 2 UR - http://geodesic.mathdoc.fr/item/CMJ_1999_49_2_a1/ LA - en ID - CMJ_1999_49_2_a1 ER -
%0 Journal Article %A Gilkey, P. B. %A Park, J. H. %T The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics %J Czechoslovak Mathematical Journal %D 1999 %P 233-240 %V 49 %N 2 %U http://geodesic.mathdoc.fr/item/CMJ_1999_49_2_a1/ %G en %F CMJ_1999_49_2_a1
Gilkey, P. B.; Park, J. H. The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics. Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 233-240. http://geodesic.mathdoc.fr/item/CMJ_1999_49_2_a1/
[1] L. Bérard Bergery and J. P. Bourguignon: Laplacians and Riemannian submersions with totally geodesic fibres. Illinois Journal of Mathematics 26 (1982), 181–200. | DOI | MR
[2] M. Van den Berg and P. Gilkey: Heat content asymptotics of the Dirichlet Laplacian. (to appear).
[3] A. Besse: Einstein Manifolds. Springer Verlag (1987) ISBN 0-387-15279-2. | MR | Zbl
[4] T. Branson and P. Gilkey: The asymptotics of the Laplacian on a manifold with boundary. Comm on PDE 15 (1990), 245–272. | DOI | MR
[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
[6] P. Gilkey and J. H. Park: Riemannian submersions which preserve the eigenforms of the Laplacian. Illinois Journal of Mathematics 40 (1996), 194–201. | DOI | MR
[7] S. I. Goldberg and T. Ishihara: Riemannian submersions commuting with the Laplacian. J. Diff. Geo. 13 (1978), 139–144. | MR
[8] H. P. McKean and I. M. Singer: Curvature and the eigenvalues of the Laplacian. J. Diff. Geo. 1 (1967), 43–69. | MR
[9] B. Watson: Manifold maps commuting with the Laplacian. J. Diff. Geo. 8 (1973), 85–94. | MR | Zbl