  We show that homogeneous superconductors with broken spin/isospin symmetry
lower their energy via a transition to a novel superconducting state where the
Fermi-surfaces are deformed to a quasi-ellipsoidal form at zero total momentum
of Cooper pairs. In this state, the gain in the condensation energy of the
pairs dominates over the loss in the kinetic energy caused by the lowest order
(quadrupole) deformation of Fermi-surfaces from the spherically symmetric form.
There are two energy minima in general, corresponding to the deformations of
the Fermi-spheres into either prolate or oblate forms. The phase transition
from spherically symmetric state to the superconducting state with broken
rotational symmetry is of the first order.
