Keywords
- Riemannian Manifold
- Heat Equation
- Heat Kernel
- Isoperimetric Inequality
- Compact Riemannian Manifold
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Further references for Chapter V
CHAVEL, I.-Eigenvalues in Riemannian Geometry, Academic Press 1984.
BERARD, P.-BERGER, M.-Le Spectre d'une variété riemannienne en 1982, in Spectra of Riemannian Manifolds, Kaigai Publications 1983, p. 139–194 (see Appendix B).
DODZIUK, J.-Eigenvalues of the Laplacian and the heat equation, Amer. Math. Monthly 88 (1981), 686–695.
GILKEY, P.B.-The index theorem and the heat equation, Publish or Perish Inc, 1974.
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© 1986 Springer-Verlag
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Bérard, P.H. (1986). Isoperimetric methods and the heat equation. In: Spectral Geometry: Direct and Inverse Problems. Lecture Notes in Mathematics, vol 1207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076335
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DOI: https://doi.org/10.1007/BFb0076335
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