Carmo, Manfredo Perdigão do.
Riemannian geometry Manfredo Perdigão do Carmo ; translated by Francis Flaherty. - 300 pages illustrations 24 cm. - Mathematics. Theory & applications . - Mathematics (Boston, Mass.) .
Translation of the 2nd ed. of: Geometria riemanniana.
Includes bibliographical references (p. [292]-296) and index.
Differentiable manifolds -- Riemannian metrics -- Affine connections; Riemannian connections -- Geodesics; convex Neighborhoods -- Curvature -- Jacobi fields -- Isometric immersions -- Complete manifolds; Hopf-Rinow and hadamard theorems -- Spaces of constant curvature -- Variations of energy -- The Rauch comparison theorem -- The Morse index theorem -- The fundamental group of manifolds of negative curvature -- The sphere theorem -- References --
0817634908 (acidfree) 3764334908 (acidfree)
91037377
Geometry, riemannian.
Geometría de riemann
QA649 / .C2913 1992
516.373 / C213r
Riemannian geometry Manfredo Perdigão do Carmo ; translated by Francis Flaherty. - 300 pages illustrations 24 cm. - Mathematics. Theory & applications . - Mathematics (Boston, Mass.) .
Translation of the 2nd ed. of: Geometria riemanniana.
Includes bibliographical references (p. [292]-296) and index.
Differentiable manifolds -- Riemannian metrics -- Affine connections; Riemannian connections -- Geodesics; convex Neighborhoods -- Curvature -- Jacobi fields -- Isometric immersions -- Complete manifolds; Hopf-Rinow and hadamard theorems -- Spaces of constant curvature -- Variations of energy -- The Rauch comparison theorem -- The Morse index theorem -- The fundamental group of manifolds of negative curvature -- The sphere theorem -- References --
0817634908 (acidfree) 3764334908 (acidfree)
91037377
Geometry, riemannian.
Geometría de riemann
QA649 / .C2913 1992
516.373 / C213r