  X-ray emitting atmospheres of non-rotating early-type galaxies and their
connection to central active galactic nuclei have been thoroughly studied over
the years. However, in systems with significant angular momentum, processes of
heating and cooling are likely to proceed differently. We present an analysis
of the hot atmospheres of six lenticulars and a spiral galaxy to study the
effects of angular momentum on the hot gas properties. We find an alignment
between the hot gas and the stellar distribution, with the ellipticity of the
X-ray emission generally lower than that of the optical stellar emission,
consistent with theoretical predictions for rotationally-supported hot
atmospheres. The entropy profiles of NGC 4382 and the massive spiral galaxy NGC
1961 are significantly shallower than the entropy distribution in other
galaxies, suggesting the presence of strong heating (via outflows or
compressional) in the central regions of these systems. Finally, we investigate
the thermal (in)stability of the hot atmospheres via criteria such as the TI-
and C-ratio, and discuss the possibility that the discs of cold gas present in
these objects have condensed out of the hot atmospheres.
