The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
Czechoslovak Mathematical Journal, Tome 49 (1999) no. 2, pp. 233-240 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Classification : 53C20, 53C42, 58J32, 58J35, 58J37
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     author = {Gilkey, P. B. and Park, J. H.},
     title = {The {Bochner} {Laplacian,} {Riemannian} submersions, heat content asymptotics, and heat equation asymptotics},
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}
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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