We evaluate general-relativistic effects in motion of stationary accretion
disks around a Schwarzschild black hole, assuming the first post-Newtonian
(1PN) approximation. There arises an integrability condition, that leads to the
emergence of two types of general-relativistic corrections to a Newtonian
rotation curve. The well known geometric dragging of frames accelerates
rotation but the hitherto unknown dynamic term, that reflects the disk
structure, deccelerates rotation. The net result can diminish the Newtonian
angular velocity of rotation in a central disk zone but the geometric dragging
of frames dominates in the disk boundary zone. Both effects are nonlinear in
nature and they disappear in the limit of test fluids. Dust disks can be only
geometrically dragged while uniformly rotating gaseous disk are untouched at
the 1PN order. General-relativistic contributions can strongly affect rotation
periods in Keplerian motion for compact systems.Comment: Minor changes in the introduction and the summary. Accepted by the
Physical Review D. 12 pages, 5 figure