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Titlebook: Differential and Riemannian Manifolds; Serge Lang Textbook 1995Latest edition Springer-Verlag New York, Inc. 1995 De Rham cohomology.Hodge

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https://doi.org/10.1007/978-1-4612-4182-9De Rham cohomology; Hodge decomposition; Riemannian geometry; cohomology; curvature; differential geometr
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978-1-4612-8688-2Springer-Verlag New York, Inc. 1995
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Real-Time Databases: Real-World RequirementsThis chapter is a continuation of the preceding one, and is concerned with the iteration of covariant derivatives, from a formal point of view, and also from the point of view of their effect on the geometry of the manifold.
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Sherry Listgarten,Marie-Anne NeimatThe material of this chapter is also contained in my book on real analysis [La 93], but it may be useful to the reader to have it also here in a rather self contained way, based only on standard properties of integration in Euclidean space.
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Curvature,This chapter is a continuation of the preceding one, and is concerned with the iteration of covariant derivatives, from a formal point of view, and also from the point of view of their effect on the geometry of the manifold.
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