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Titlebook: Geometry VI; Riemannian Geometry M. M. Postnikov Textbook 2001 Springer-Verlag Berlin Heidelberg 2001 Lie groups.Minimal surface.Riemannian

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0938-0396 name "chapter" is more usual. Therefore, the name of subdivisions was changed in the translation, although no structural surgery was performed. I have also added a brief bibliography, which was absent in the original edition. The first978-3-642-07434-9978-3-662-04433-9Series ISSN 0938-0396
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Textbook 2001cal Sciences," the origin of a book has no significance, and the name "chapter" is more usual. Therefore, the name of subdivisions was changed in the translation, although no structural surgery was performed. I have also added a brief bibliography, which was absent in the original edition. The first
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Affine Connections,= (., .., ...,..) of the manifold . defines a chart (.., ..) of the manifold .. for which .. = .... The coordinates of the vector . ∈ .. in this chart are the coordinates .., ..., .. of the point . = .. in the chart (.) and the coordinates of this vector in the basis . of the linear space .... The l
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Palais and Kobayashi Theorems,bitrary linear topological space .. This allows defining .. in an obvious way: it suffices to replace open sets of the space ℝ. with those of the space . everywhere in the usual definition of a smooth manifold (see the addendum). We obtain Hilbert, Banach, locally convex, etc., manifolds depending o
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