Displaying similar documents to “Conformal de Rham Hodge theory and operators generalising the Q -curvature”

Notes on conformal differential geometry

Eastwood, Michael

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This survey paper presents lecture notes from a series of four lectures addressed to a wide audience and it offers an introduction to several topics in conformal differential geometry. In particular, a very nice and gentle introduction to the conformal Riemannian structures themselves, flat or curved, is presented in the beginning. Then the behavior of the covariant derivatives under the rescaling of the metrics is described. This leads to Penrose’s local twistor transport which is introduced...

Aspects of parabolic invariant theory

Gover, Rod A.

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A certain family of homogeneous spaces is investigated. Basic invariant operators for each of these structures are presented and some analogies to Levi-Civita connections of Riemannian geometry are pointed out.