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Nov 27, 2012 at 20:51 comment added Matthias Ludewig I know the statement in Duistermaat, and I know that one can determine the sj more specifically using local coordinates. In fact, it is just a Laplacian when using Morse coordinates. However, it should be possible to figure out the $s_j$ without using any coordinates, just by using invariance theory.
Nov 27, 2012 at 20:28 history answered Liviu Nicolaescu CC BY-SA 3.0