Misprints in the book "Geometric Realizations of Curvature

by M. Brozos-Vaazquez, P. Gilkey and S. Nikcevic (published by Imperial College Press (2012). As of 11 August 2012.
  1. Assertion (2b) in Theorem 6.5.1 on page 183 is incorrect. It indicates that the alternating Ricci tensor is given by =-md(phi). The multiplicative constant of -m is incorrect and should be replaced by -m/2. Thus correct statement is that the alternating Ricci tensor is given by -md(phi)/2. The proof given on page 184 is correct.
  2. There is a sign mistake in the definition of the Nijenhuis and the para-Nijenhuis tensors given in equations (1.1.f) and (1.1.g). In these equations [x,y] should be replaced by -[x,y]. These tensors were introduced for the sake of completeness and played no role in the development. A similar correction should be made in the section dealing with Notational Conventions.

To rest on the blue of the day, like an eagle rests on the wind, over the cold range, confident on its wings and its breadth.

Web page spun on 4 September 2012 by Peter B Gilkey 202 Deady Hall, Department of Mathematics at the University of Oregon, Eugene OR 97403-1222, U.S.A. Phone 1-541-346-4717 Email:gilkey@uoregon.edu