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Isoperimetric methods

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1207)

Keywords

  • Riemannian Manifold
  • Isoperimetric Inequality
  • Euclidean Ball
  • Geodesic Ball
  • Rayleigh Quotient

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Further references for Chapter IV

  1. BANDLE, C.-Isoperimetric inequalities and applications, Pitman 1980.

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  2. CHAVEL, I.-Eigenvalues in Riemannian Geometry, Academic Press 1984.

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  3. PAYNE, L.E.-Isoperimetric inequalities and their applications, SIAM Review 9 (1967), 453–488.

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  4. POLYA, G.-SZEGO, G.-Isoperimetric inequalities in mathematical physics, Annals of Math. Studies 27, Princeton University Press 1951.

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  5. 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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16788-4

  • Online ISBN: 978-3-540-40958-8

  • eBook Packages: Springer Book Archive