Morgan & Claypool

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Differential Geometry is a wide field. We have chosen to concentrate upon certain aspects that are appropriate for an introduction to the subject; we have not attempted an encyclopedic treatment. Book III is aimed at the first-year graduate level but is certainly accessible to a…

9. Invariance theory -- 9.1 Review of affine and Riemannian geometry -- 9.2 Invariance theory in the Riemannian setting -- 9.3 The Chern-Gauss-Bonnet formula -- 9.4 Pseudo-KŁahler manifolds -- 9.5 VSI manifolds -- 9.6 Invariants that are not of Weyl type. 10. Homothety homogene…