  We derive a formula connecting in any dimension the Green function on the D+1
dimensional Euclidean Rindler space and the one for a minimally coupled scalar
field with a mass m in the D dimensional hyperbolic space. The relation takes a
simple form in the momentum space where the Green functions are equal at the
momenta (p_0,\bf p) for Rindler and (m,\bf p) for hyperbolic space with a
simple additive relation between the squares of the mass and the momenta. The
formula has applications to finite temperature Green functions, Green functions
on the cone and on the 9compactified) Milne space-time. Analytic continuations
and interacting quantum fields are briefly discussed.
