  Harvey-Lawson and Anciaux introduced the notion of austere submanifolds in
pseudo-Riemannian geometry. We give an equivalent condition for an orbit of the
isotropy representations for semisimple pseudo-Riemannian symmetric space to be
an austere submanifold in a pseudo-sphere in terms of restricted root system
theory with respect to Cartan subspaces. By using the condition we give
examples of austere orbits.
