Jm. Bismut, EQUIVARIANT QUILLEN METRICS AND COMPLEX E MBEDDINGS, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 316(8), 1993, pp. 827-832
In this paper, we announce an anomaly formula for equivariant Quillen
metrics and also a formula which gives the behaviour of such Quillen m
etrics by an equivariant immersion. We thus extend previous results by
Bismut-Gillet-Soule and Bismut-Lebeau to the equivariant case.