Keywords
- Riemannian Manifold
- Isoperimetric Inequality
- Euclidean Ball
- Geodesic Ball
- Rayleigh Quotient
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Further references for Chapter IV
BANDLE, C.-Isoperimetric inequalities and applications, Pitman 1980.
CHAVEL, I.-Eigenvalues in Riemannian Geometry, Academic Press 1984.
PAYNE, L.E.-Isoperimetric inequalities and their applications, SIAM Review 9 (1967), 453–488.
POLYA, G.-SZEGO, G.-Isoperimetric inequalities in mathematical physics, Annals of Math. Studies 27, Princeton University Press 1951.
OSSERMAN, R.-The isoperimetric inequality, Bull. Amer. Math. Soc. 84 (1978), 1182–1238.
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© 1986 Springer-Verlag
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Bérard, P.H. (1986). Isoperimetric methods. In: Spectral Geometry: Direct and Inverse Problems. Lecture Notes in Mathematics, vol 1207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076334
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DOI: https://doi.org/10.1007/BFb0076334
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