Yamabe operator via BGG sequences

Vít Tuček

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