Geometrical Methods of Mathematical Physics (Errata) [Illustrated] 0521298873, 9780521298872

Errata for Geometrical Methods of Mathematical Physics, downloaded from: https://harolderbin.com/research-notes/#Errata

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Geometrical Methods of Mathematical Physics (Errata) [Illustrated]
0521298873, 9780521298872

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Bernard F. Schutz
Harold Erbin

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Geometrical Methods of Mathematical Physics, B. Schutz (Cambridge University Press): Errata Harold Erbin∗1 1

Cnrs, Lptens, École Normale Supérieure, F-75231 Paris, France

23rd May 2018 These errata have not been reviewed by the author nor the editor and I may have made some mistakes. Colors red and blue are respectively used to highlight the error and its correction (if necessary). 18/05/2014 • p. 25 (fig. 2.3): f (V ) → g(V ) ¯ ] → ε2 [V¯ , W ¯ ]xi |P • p. 46 (eq. 2.12): ε2 [V¯ , W • p. 61 (eq. 2.35): ω ˜k → ω ˜k

0

• p. 70 (§2): "a displacement dλ" → d¯ x • p. 71 (eq. 2.68): ηαβ V¯ α V¯

β

¯ → ηαβ V¯ α W

β

¯ ∗ (λ0 + ∆λ) = U ¯ (λ0 + ∆λ) → U ¯ ∗ (λ0 ) = U ¯ (λ0 + ∆λ) (thanks to Michael • p. 77 (§1): U Drumheller) • p. 100 (item iv): “(. . . ) can have 21 n(n−1) arbitrary complex (. . . ) elements (given by n(n − 1) real elements)” → “(. . . ) can have n(n − 1) arbitrary complex (. . . ) elements (given by 12 n(n − 1) real elements)” • p. 101 (sec. 3.16): “since very vector” → every • p. 132 (before sec. 4.13): a ¯ · (¯b · c¯) → a ¯ · (¯b × c¯)

∗ [email protected]

1