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In this paper we provide a complete characterization of fully nonlinear conformally invariant differential operators of any integer order on Rn, which extends the result proved for operators of the second order by A. Li and the first author in Li and Li (2003) [1]. In particular we prove existence and uniqueness of a family of tensors (suitably invariant under Möbius transformations) which are the...
In this paper we provide a complete characterization of fully nonlinear differential operators of any integer order on Rn, which exhibit conformal invariance of exponential type. In this way we intend to complete the work that we undertook in Li et al. (2011) [2], where we introduced the family of elementary conformal tensors {Tm,αu} in order to describe all fully nonlinear differential operators...
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