Riemannian Geometry. Front Cover. Manfredo Perdigão do Carmo. Birkhäuser, – Geometria riemanniana – pages. MR (84b) do Carmo, Manfredo Perdigão. Geometria riemanniana. (Portuguese) [Riemannian geometry] Projeto Euclides [Euclid Project], Geometria Riemanniana (Em Portuguese do Brasil) [Manfredo Perdigao do Carmo] on *FREE* shipping on qualifying offers.

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From those, some other global quantities can be derived by integrating local contributions.

Differential Geometry of Curves and Surfaces

Knowledge of the basic notions of differential geometry differentiable manifold, tangent bundle, tensor field, differential form, Lie group and in particular of Riemannian geometry such as Riemannian metric, arc length, volume, Levi-Civita derivation and corresponding parallel transport, geodesics, curvature.

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Trivia About Differential Geom Just a moment while we sign you in to your Goodreads account. Study of the submanifolds of an euclidean space, which are defined by implicit or parametric equations, both from the local and global point of view, by computing their metric, the Levi Civita connection and the corresponding parallel transport, riiemanniana geodesics, the curvature.


To ask other readers questions about Riemannian Geometryplease sign up. Michael Ponce rated it really liked it Jun 06, Do Carmo Author. Excellent treatise on curves and surfaces with very clear exposition of the motivation behind many concepts in Riemannian Geometry.

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