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Powers of the Parabolic Dirac Operator

✍ Scribed by Nelson Vieira

Publisher
Springer
Year
2008
Tongue
English
Weight
159 KB
Volume
18
Category
Article
ISSN
0188-7009

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The paper deals with conformally invariant higher-order operators acting on spinor-valued functions, such that their symbols are given by powers of the Dirac operator. A general classification result proves that these are unique, up to a constant multiple. A general construction for such an invarian

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## Abstract In this paper we study a Fischer decomposition for the parabolic Dirac operator which factorizes the heat equation. Since the standard construction techniques are not valid in our case, due to the non‐homogeneity of the positive parabolic Dirac operator, we first establish and study the