The Boundary Value Problem for Laplacian on Differential Forms and Conformal Einstein Infinity
Fischmann M* and Somberg P
E. Cech Institute, Mathematical Institute of Charles University, Sokolovská 83, Praha 8 - Karln, Czech Republic
- *Corresponding Author:
- Fischmann M E. Cech Institute
Mathematical Institute of Charles University
Sokolovská 83, Praha 8 - Karln
Tel: 951 553 203
E-mail: [email protected]
Received Date: January 16, 2017; Accepted Date: February 17, 2017; Published Date: February 27, 2017
Citation: Fischmann M, Somberg P (2017) The Boundary Value Problem for Laplacian on Differential Forms and Conformal Einstein Infinity. J Generalized Lie Theory Appl 11: 256. doi:10.4172/1736-4337.1000256
Copyright: © 2017 Fischmann M, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
We completely resolve the boundary value problem for differential forms for conformal Einstein infinity in terms of the dual Hahn polynomials. Consequently, we present explicit formulas for the Branson-Gover operators on Einstein manifolds and prove their representation as a product of second order operators. This leads to an explicit description of Q-curvature and gauge companion operators on differential forms.