  It has recently been pointed out that Fermi surfaces can remain even in the
superconductors under the symmetric spin-orbit interaction and broken
time-reversal symmetry. Using the linear response theory, we study the
instability of such systems toward ordering, which is an intrinsic property of
the Fermi surfaces. The ordered states are classified into diagonal and
offdiagonal ones, each of which respectively indicates the Pomeranchuk
instability and Cooper pairing not of original electron but of Bogoliubov
particles (bogolons). The corresponding order parameters are expanded by
multipole moments (diagonal order parameter) and multiplet pair amplitudes
(offdiagonal order parameter) of original electrons, which are induced by the
internal fields arising from bogolons' ordering. While the bogolons' order
parameters partially inherit the characters of the original electrons, many
order parameter components mix with similar magnitude. Hence there is no
clear-cut distinction whether the phase transition is diagonal or offdiagonal
ordering in terms of the original electrons. These ordering instabilities
inside the superconducting states provide insights into the superconductors
which have the second phase transition below the first transition temperature.
