  We examine radial trapping of two-armed ($m=2$) vertical p-mode oscillations
in geometrically thin relativistic disks which are vertically isothermal but
terminated at a certain height by the presence of hot and low-density corona.
The disks are assumed to be subject to toroidal magnetic fields. The
oscillations are classified by $n$, a number related to the node number of
oscillations in the vertical direction and starting from $n=1$. In modes with
$n=1$, the frequencies of trapped oscillations depend little on the height of
termination, but in modes with $n=2,3,...$ the frequencies decrease and the
radial extends of trapped region become wide, as the termination height
decreases. This study is a preparation to examine whether these oscillations
can describe kilo-hertz quasi-periodic oscillations (kHz QPOs), horizontal
branch oscillation (HBOs), and their correlations.

High Energy Astrophysical Phenomena