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Topics from Riemannian geometry

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

Keywords

  • Riemannian Manifold
  • Sectional Curvature
  • Local Coordinate System
  • Riemannian Geometry
  • Ricci Curvature

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Further references for Chapter II

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

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  2. MILNOR, J.-Morse theory, Annals of Math. Studies no 51, Princeton Univ. Press 1963.

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  3. SAKAI, T.-Comparison and finiteness theorems in Riemannian geometry, Advanced studies in Pure Math. 3, 1984, Geometry of Geodesics and Related Topics p. 125–181. North Holland-Kinokuniya 1984.

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  4. BISHOP, R.L.-CRITTENDEN, R.J.-Geometry of Manifolds, Acad. Press. 1964.

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

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  6. CHEEGER, J.-EBIN, D.-Comparison theorems in Riemannian geometry, North-Holland 1975.

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  7. CARMO, M. do-Geometria Riemaniana-Escola de Geometria Diferencial Universidade Federal do Ceará Julho 1978.

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  8. KLINGENBERG, W.-Riemannian geometry, de Gruyter Studies in Math. no 1, de Gruyter 1982.

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  9. SPIVAK, M.-A comprehensive introduction to differential geometry, Publish or Perish Inc. (Vol. I to V).

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© 1986 Springer-Verlag

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Bérard, P.H. (1986). Topics from Riemannian geometry. In: Spectral Geometry: Direct and Inverse Problems. Lecture Notes in Mathematics, vol 1207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076332

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  • DOI: https://doi.org/10.1007/BFb0076332

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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