题目：Horo-Convex Hypersurfaces with Prescribed Shifted Gauss Curvatures in Hyperbolic Space
摘要：In this paper, we consider prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in hyperbolic space. Under some sufficient conditions, we obtain an existence result by the standard degree theory based on a priori estimates for solutions to the equations. Different from the prescribed Weingarten curvature problem in space forms, we do not impose a condition for radial derivative of the functions in the right hand side of the equations to prove the existence due to the horo-convexity of hypersurfaces in hyperbolic space.
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