The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics

Peter Gilkey; J. H. Park

Czechoslovak Mathematical Journal (1999)

  • Volume: 49, Issue: 2, page 233-240
  • ISSN: 0011-4642

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Gilkey, Peter, and Park, J. H.. "The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics." Czechoslovak Mathematical Journal 49.2 (1999): 233-240. <http://eudml.org/doc/30480>.

@article{Gilkey1999,
author = {Gilkey, Peter, Park, J. H.},
journal = {Czechoslovak Mathematical Journal},
keywords = {Riemannian submersion; minimal submanifold; Bochner Laplacian; heat equation},
language = {eng},
number = {2},
pages = {233-240},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics},
url = {http://eudml.org/doc/30480},
volume = {49},
year = {1999},
}

TY - JOUR
AU - Gilkey, Peter
AU - Park, J. H.
TI - The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
JO - Czechoslovak Mathematical Journal
PY - 1999
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 49
IS - 2
SP - 233
EP - 240
LA - eng
KW - Riemannian submersion; minimal submanifold; Bochner Laplacian; heat equation
UR - http://eudml.org/doc/30480
ER -

References

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  1. 10.1215/ijm/1256046790, Illinois Journal of Mathematics 26 (1982), 181–200. (1982) MR0650387DOI10.1215/ijm/1256046790
  2. Heat content asymptotics of the Dirichlet Laplacian, (to appear). (to appear) 
  3. Einstein Manifolds, Springer Verlag (1987) ISBN 0-387-15279-2. Zbl1147.53001MR0867684
  4. 10.1080/03605309908820686, Comm on PDE 15 (1990), 245–272. (1990) MR1032631DOI10.1080/03605309908820686
  5. The asymptotics of the Laplacian on a manifold with boundary II, Bollettino d’Unione Matematica 7 II-B (1997), 39–67. (1997) MR1456250
  6. 10.1215/ijm/1255986099, Illinois Journal of Mathematics 40 (1996), 194–201. (1996) MR1398089DOI10.1215/ijm/1255986099
  7. Riemannian submersions commuting with the Laplacian, J. Diff. Geo. 13 (1978), 139–144. (1978) MR0520606
  8. Curvature and the eigenvalues of the Laplacian, J. Diff. Geo. 1 (1967), 43–69. (1967) MR0217739
  9. Manifold maps commuting with the Laplacian, J. Diff. Geo. 8 (1973), 85–94. (1973) Zbl0274.53040MR0365419

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