Keywords
- Riemannian Manifold
- Sectional Curvature
- Local Coordinate System
- Riemannian Geometry
- Ricci Curvature
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Further references for Chapter II
CHAVEL, I.-Eigenvalues in Riemannian Geometry, Academic Press 1984.
MILNOR, J.-Morse theory, Annals of Math. Studies no 51, Princeton Univ. Press 1963.
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.
BISHOP, R.L.-CRITTENDEN, R.J.-Geometry of Manifolds, Acad. Press. 1964.
BERGER, M.-GAUDUCHON, P.-MAZET, E.-Le spectre d'une variété riemannienne, Lecture Notes in Mathematics no 194, Springer 1971.
CHEEGER, J.-EBIN, D.-Comparison theorems in Riemannian geometry, North-Holland 1975.
CARMO, M. do-Geometria Riemaniana-Escola de Geometria Diferencial Universidade Federal do Ceará Julho 1978.
KLINGENBERG, W.-Riemannian geometry, de Gruyter Studies in Math. no 1, de Gruyter 1982.
SPIVAK, M.-A comprehensive introduction to differential geometry, Publish or Perish Inc. (Vol. I to V).
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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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