2013 / September Volume 8 No.3
A Paneitz-Type Operator for CR Pluriharmonic Functions
| Published Date |
2013 / September
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|---|---|
| Title | A Paneitz-Type Operator for CR Pluriharmonic Functions |
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| Pagination | 285-322 |
| Abstract | We introduce a fourth order CR invariant operator on pluriharmonic functions on a three-dimensional CR manifold, generalizing to the abstract setting the operator discovered by Branson, Fontana and Morpurgo. For a distinguished class of contact forms, all of which have vanishing Hirachi-Q curvature, these operators determine a new scalar invariant with properties analogous to the usual Q-curvature. We discuss how these are similar to the (conformal) Paneitz operator and Q-curvature of a four-manifold, and describe its relation to some problems for three-dimensional CR manifolds.
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| AMS Subject Classification |
32V05, 53C24
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| Received |
2013-08-02
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| Accepted |
2013-08-03
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