Displaying similar documents to “On generalized Cauchy-Riemann equations on manifolds”

Twistor operators on conformally flat spaces

Somberg, Petr

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Summary: We describe explicitly the kernels of higher spin twistor operators on standard even dimensional Euclidean space ℛ 2 l , standard even dimensional sphere S 2 l , and standard even dimensional hyperbolic space ℋ 2 l , using realizations of invariant differential operators inside spinor valued differential forms. The kernels are finite dimensional vector spaces (of the same cardinality) generated by spinor valued polynomials on ℛ 2 l , S 2 l , ℋ 2 l .

Special invariant operators I

Jarolím Bureš (1996)

Commentationes Mathematicae Universitatis Carolinae

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The aim of the first part of a series of papers is to give a description of invariant differential operators on manifolds with an almost Hermitian symmetric structure of the type G / B which are defined on bundles associated to the reducible but undecomposable representation of the parabolic subgroup B of the Lie group G . One example of an operator of this type is the Penrose’s local twistor transport. In this part general theory is presented, and conformally invariant operators are studied...