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Conformal flatness, cohomogeneity one and hypersurfaces of revolution

✍ Scribed by Francesco Mercuri; Maria Helena Noronha


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
566 KB
Volume
9
Category
Article
ISSN
0926-2245

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✦ Synopsis


In this paper we prove that compact conformally flat cohomogeneity one hypersurfaces of "I?"+'.

II 2 4, are hypersurfaces of revolution except for a family of counter-examples that we describe in detail.


πŸ“œ SIMILAR VOLUMES


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In this paper, we look for metrics of cohomogeneity one in D = 8 and D = 7 dimensions with Spin(7) and G 2 holonomy, respectively. In D = 8, we first consider the case of principal orbits that are S 7 , viewed as an S 3 bundle over S 4 with triaxial squashing of the S 3 fibres. This gives a more gen

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Let M be a smooth manifold endowed with a flat conformal structure and F Ξ» (M) the space of densities of degree Ξ» on M. We study the space D 3 Ξ»,Β΅ (M) of third-order differential operators from F Ξ» (M) to F Β΅ (M) as a module over the conformal Lie algebra o(p + 1, q + 1). We prove that D 3 Ξ»,Β΅ (M) i