Korn's inequality and Donati's theorem for the conformal Killing operator on pseudo-Euclidean space
Authors:
Wei Wang
Affiliation:
Department of Mathematics, Zhejiang University, Zhejiang 310027, PR China
Abstract:
We prove the Korn's inequality for the conformal Killing operator on pseudo-Euclidean space Rp,q, and an existence theorem for solutions to the non-homogeneous conformal Killing equation, which is a pseudo-Euclidean conformal generalization of Donati's theorem for Euclidean Killing operator.