Polarization of a scalar field vacuum on a manifold conformally equivalent to the manifold <Emphasis Type="Italic">R</Emphasis>⊗<Emphasis Type="Italic">G</Emphasis>

In the present paper, vacuum average energy-momentum tensors are calculated on a group manifold for a real scalar field by the method of coadjoint representation orbits. An example is considered for the group SO(3). The energy-momentum tensor is calculated for a conformally equivalent metric with the help of a conformal transformation. __________ Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 50–57, October, 2007.