  By virtue of the well-known theorem, a structure Lie group G of a principal
bundle P is reducible to its closed subgroup H iff there exists a global
section of the quotient bundle P/H. In gauge theory, such sections are treated
as classical Higgs fields, and are exemplified by Riemannian and
pseudo-Riemannian metrics. This theorem is extended to a certain class of
principal superbundles, including a graded frame superbundle with a structure
general linear supergroup. Each reduction of this structure supergroup to an
orthgonal-symplectic supersubgroup is associated to a supermetric on a base
supermanifold.
