O#Neill B Semi Riemannian geometry 1983 errata(2006)(1s) MDdg

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Corrections to Semi-Riemannian Geometry (Sept '06)
The majority of these errors were found by Paul D. Scofield. Note: Since HTML cannot
space mathematical italics properly, many ordinary letters below should be read as
italic.

Page/Line Correction
2/-10 Replace script V by script A.
29/8 Should read: "If each of its maximal integral curves...."
127/-9 Replace T

p

by T

o

.

132/4 Replace "matrices" by "metrics".
133/-1 Replace (r(t)/b) by (r(t)/r(b)).
156/-8 Replace "m [0,1]" by "m [0,1]".
170/-6 In the third term in this equation, take the norm of the vector derivative in
its numerator.
177/-2 Put an arrow over P, as in the line below.
227/-6 Replace "since M is simply connected" by "since N is simply connected".
249/-20, -15 Replace N(H) by N( ).
249/-13 Should read: "identity map of M/ ".
252/-12 Replace "By Proposition 8.7," by "It follows from Lemma 8.5 (with v=w=0)
that".
263/4 Should read: "of a curve segment ".
273/6 Should read: "(1) If I ...."

275/-7 Should begin: I

(Y + W,Y + W).

278/6 Replace "Theorem 7.28" by "Corollary 7.29".
278/10 On this line, replace M twice by H.
306/-12 Replace "Exercise 1.12" by "Exercise 2.12".
315/18 Should read: "subgroups of F." (Delete the subscript "0".)
373/5 Replace "for i = 1, 3" by "for i = 0, 3".
378/middle Replace (dr/d )/(d /d ) by (dr/d ) (d /d ).
386/-9 Replace "-2

M

/3" by "-2

M

/e".

402/-7 Replace "y x" by "y z".

403/10 Replace "q J(p,C)" by "q J

+

(p,C).

410/-9 Should read: L( ) - 2 /3". (Insert factor "2".)

If you notice any other errors, please send them to bon@math.ucla.edu

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