Abstract
We consider the Minkowski space M 4 as a local chart of a compact differentiable pseudo-Riemannian manifold M 4 c , on which the whole conformal group O(2, 4) Z 2 acts continuously. We investigate the conditions under which functions or differential operators on the space M 4 can be uniquely continued to the conformal manifold M 4 c . This is done by using methods well-known in the theory of differentiable manifolds. In particular, we show that the Klein-Gordon operator □+ m 2 can be uniquely continued to the space M 4 c and we discuss the conformal invariance of the Klein-Gordon equation on the manifold M 4 c .
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