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Heat conduction for Riemannian foliations
Author(s):
Seiki
Nishikawa;
Mohan
Ramachandran;
Philippe
Tondeur
Journal:
Bull. Amer. Math. Soc.
21
(1989),
265-267.
MSC (1985):
Primary 58G11;
Secondary 57R30
MathSciNet review:
1011764
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References |
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Additional information
References:
- [AT] J. A. Alvarez-López and Ph. Tondeur, Hodge decomposition along the leaves of a Riemannian foliation (to appear).
- [C] E. Cartan, Sur des familles remarquables d'hypersurfaces isoparamétriques dans les espaces sphériques, Math. Z. 45 (1939), 335-367. MR 169
- [EH] A. El Kacimi et G. Hector, Décomposition de Hodge basique pour un feuilletage riemannien, Ann. Inst. Fourier (Grenoble) 36 (1986), 207-227. MR 865667
- [EK] A. El Kacimi, Equation de la chaleur sur les espaces singuliers, C. R. Acad. Sci. Paris t. 303(1986), 243-246. MR 860827
- [GR] P. Greiner, An asymptotic expansion for the heat equation, Arch. Rational Mech. Anal. 41 (1971), 163-218. MR 331441
- [H] J. Hadamard, Le problème de Cauchy et les équations aux derivées partielles linéaires hyperboliques, Hermann et Cie, Paris, 1932.
- [KT] F. W. Kamber and Ph. Tondeur, De Rham-Hodge theory for Riemannian foliations, Math. Ann. 277 (1987), 415-431. MR 891583
- [MR] A. N. Milgram and P. C. Rosenbloom, Harmonic forms and heat conduction I: Closed Riemannian manifolds, Proc. Nat. Acad. Sci. 37 (1951), 180-184. MR 42769
- [NRT] S. Nishikawa, M. Ramachandran and Ph. Tondeur, The heat equation for Riemannian foliations, Trans. Amer. Math. Soc. (to appear). MR 987165
- [R] B. Reinhart, Foliated manifolds with bundle-like metrics, Ann. of Math. (2) 69 (1959), 119-132. MR 107279
- [RT] E. A. Ruh and Ph. Tondeur, Almost Lie foliations and the heat equation method, Proc. of the VI Internat. Colloq. on Differential Geometry, Santiago de Compostela (Spain) 1988, Cursos y Congresos 10, Univ. of Santiago de Compostela, 1989, pp. 239-246. MR 1040849
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Additional Information:
DOI:
10.1090/S0273-0979-1989-15826-6
PII:
S 0273-0979(1989)15826-6
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