Conformally invariant operators of the first order
by
Jarolím Bureš
Charles University, Prague

Oral Communication The Dirac operator and its relatives (e.g. twisted Dirac operators ) have been studied extensively during last decades and were used in many branches of mathematics and mathematical physics. There are another linear first order conformally invariant operators (typical example is the Rarita-Schwinger operator) but very few facts are known about their properties. In my talk, I would like to give a description of the first order conformally invariant differential operators on Riemannian spin-manifolds and to present their further properties in two special cases (operators on spinor-valued forms, resp. on symmetric spinor-valued tensors). In special case (e.g. on flat spaces), I shall present a complete description of properties of homogeneous polynomial solutions of the studied equations.

Date received: May 30, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadq-88.