We compare relativistic transport model calculations to recent data on the
sideward flow of neutral strange K-s(0) mesons for Au+Au collisions at 6A G
eV. A soft nuclear equation of state is found to describe very well the pos
itive proton flow data measured in the same experiment. In the absence of t
he kaon potential, the K-0 flow pattern is similar to that of protons. The
kaon flow becomes negative if a repulsive kaon potential determined from th
e impulse approximation is introduced. However, this potential underestimat
es the data which exhibit larger antiflow. An excellent agreement with the
data is obtained when a relativistic scalar-vector kaon potential, that has
stronger density dependence, is used. We further find that the transverse
momentum dependence of directed and elliptic flow is quite sensitive to the
kaon potential in dense matter.