We consider the effect of a long-range, flavor-changing tensor interac
tion of possible gravitational origin. Neutrino-mixing experiments pro
vide the most sensitive probe to date for such forces-testing the equi
valence principle at levels below 10(-20). Here we justify and general
ize a formalism for describing such effects. The constraints from neut
rino-mixing experiments on gravitationally induced mixing are calculat
ed. Our detailed analysis of the atmospheric neutrino data confirms a
remarkable result: the atmospheric neutrino data imply the same size v
iolation of the equivalence principle as do the solar neutrino data. A
dditional tests of this suggestive result are discussed.