The duality of conformally flat manifolds |
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| Authors: | Huili Liu Masaaki Umehara Kotaro Yamada |
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| Affiliation: | 1.Department of Mathematics,Northeastern University,Shenyang,PR China;2.Department of Mathematics Graduate School of Science,Osaka University,Toyonaka Osaka,Japan;3.Department of Mathematics,Tokyo Institute of Technology,O-okayama Meguro Tokyo,Japan |
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| Abstract: | In a joint work with Saji, the second and the third authors gave an intrinsic formulation of wave fronts and proved a realization theorem for wave fronts in space forms. As an application, we show that the following four objects are essentially the same: | – | conformally flat n-manifolds (n ≥ 3) with admissible singular points (i.e. admissible GCF-manifolds) |
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