Abstract
In this first chapter, we collect the basic material which will be used throughout the book. In particular, we recall the definitions of the main notions of Riemannian (and pseudo-Riemannian) geometry. This is mainly intended to fix the definitions and notations that we will use in the book. As a consequence, many fundamental theorems will be quoted without proofs because these are available in classical textbooks on Riemannian geometry such as [Ch-Eb], [Hel 1], [Ko-No 1 and 2], [Spi].
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© 1987 Springer-Verlag Berlin Heidelberg
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Besse, A.L. (1987). Basic Material. In: Einstein Manifolds. Ergebnisse der Mathematik und ihrer Grenzgebiete. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74311-8_2
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DOI: https://doi.org/10.1007/978-3-540-74311-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-74120-6
Online ISBN: 978-3-540-74311-8
eBook Packages: Springer Book Archive