NONHOMOGENEOUS INVERSE GAUSS CURVATURE FLOW IN H³.

In this paper, we consider nonhomogeneous inverse Gauss curvature flows in hyperbolic space H3. We prove that if the initial hypersurface Σ0 has nonnegative scalar curvature, then the evolving surface Σt has nonnegative scalar curvature along the flow for t > 0. The solution of the flow exists for all time and becomes more and more umbilic as t→∞. [ABSTRACT FROM AUTHOR]