  The Chandra image of the central region of the Coma cluster reveals that both
its dominant galaxies, NGC4874 and NGC4889, retain the central parts of their
X-ray gas coronae. The interstellar gas with a temperature of 1-2 keV is
confined by the hot intergalactic medium of the Coma cluster into compact
clouds (only 3 kpc in radius) containing 10^8 M_sun of gas. The physical state
of the gas in these clouds appears to be determined by a delicate balance
between radiative cooling and suppressed (by a factor of 30-100) heat
conduction through the interface between these clouds and the hot cluster gas.
