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Pontrjagin forms, Chern Simons classes, Codazzi transformations, and affine hypersurfaces |
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| Affiliation: | a Faculty of Mathematics, University of Belgrade, Studentski trg 16, PP 550, 11000, Beograd, Yugoslavia b Mathematics Department, University of Oregon, Eugene Or 97403, USA |
| Abstract: | We show that the primary and secondary characteristic classes vanish in the context of affine differential geometry. This gives rise to obstructions to realizing a conformal class of metrics on a manifold either as the first or as the second fundamental form of an affine immersion. |
| Keywords: | Differential geometryAffine geometry Chern Simons forms Codazzi transformations |
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