Titlebook: Differentiable Manifolds; Lawrence Conlon Textbook 2001Latest edition Birkhäuser Boston 2001 Differential Geometry.Global Calculus.Topolog

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Riemannian Geometry, we can integrate .-forms, but which of these integrals should be interpreted as the . of the manifold? And given intersecting curves, how could we measure the . they make at an intersection point? The additional structure that is needed is a . tensor, Riemannian metrics and, to a lesser extent, pseudo-Riemannian metrics, being the main examples.

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2197-1803 of bundle theory, and a further (optional) development of Lie theory than is customary in textbooks at this level. New to the 978-0-8176-4766-7978-0-8176-4767-4Series ISSN 2197-1803 Series E-ISSN 2197-1811

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Covectors and 1-Forms,gy. Finally, theorems stated in terms of differential forms sometimes provide interesting and useful alternatives to equivalent vector field versions. An example of this will be a differential forms version of the Frobenius theorem.

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Textbook 2001Latest editione emphasized throughout. Additional features include a treatment of the elements of multivariable calculus, formulated to adapt readily to the global context, an exploration of bundle theory, and a further (optional) development of Lie theory than is customary in textbooks at this level. New to the