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The Laplacian and related topics

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

Keywords

  • Riemannian Manifold
  • Eigenvalue Problem
  • Ricci Curvature
  • Compact Riemannian Manifold
  • Geodesic Ball

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Further references for Chapter III

  1. AGMON, S.-Lectures on Elliptic boundary value problems, Van Nostrand 1965.

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  2. BERS, L.-JOHN, F.-SCHECHTER, M.-Partial differential equations, Interscience 1964.

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  3. BERGER, M.-GAUDUCHON, P.-MAZET, E.-Le spectre d'une variété riemannienne, Lecture Notes in Mathematics no 194, Springer 1971.

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  4. BERENSTEIN, C.-Autovalores del Laplaciano y geometria, VII ELAM, Fondo Editorial, acta cientifica venezolana, Caracas 1984.

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  5. BREZIS, H.-Analyse fonctionnelle: Théorie et Applications, Masson 1983.

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  6. COURANT, R.-HILBERT, D.-Methods of mathematical physics, Vol. I, J. Wiley & Sons 1953.

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

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  8. EELLS, J.-Elliptic operators on manifolds, Proceedings Summer Course Complex Analysis I.C.T.P. Trieste 1975 International Atomic Energy Agency 1976 Vol. 1, p. 95–152.

    MathSciNet  MATH  Google Scholar 

  9. WELLS, R.-Differential analysis on complex manifolds, Graduate Texts in Math. 65 Springer (1980)

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© 1986 Springer-Verlag

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Bérard, P.H. (1986). The Laplacian and related topics. In: Spectral Geometry: Direct and Inverse Problems. Lecture Notes in Mathematics, vol 1207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076333

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  • DOI: https://doi.org/10.1007/BFb0076333

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16788-4

  • Online ISBN: 978-3-540-40958-8

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