Address: Mathematical Institute, Charles University, Sokolovská 83, 186 75 Prague, Czech Republic
E-mail: vit.tucek@gmail.com
Abstract: We show that the conformally invariant Yamabe operator on a complex conformal manifold can be constructed as a first BGG operator by inducing from certain infinite-dimensional representation.
AMSclassification: primary 53A30; secondary 58J10, 53A55.
Keywords: Bernstein-Gelfand-Gelfand resolution, Cartan connection, parabolic geometry, Yamabe operator.
DOI: 10.5817/AM2012-5-411