Non-scale-invariant inverse curvature flows in hyperbolic space

作者:Scheuer Julian*
来源:Calculus of Variations and Partial Differential Equations, 2015, 53(1-2): 91-123.
DOI:10.1007/s00526-014-0742-9

摘要

We consider inverse curvature flows in hyperbolic space with starshaped initial hypersurface, driven by positive powers of a homogeneous curvature function. The solutions exist for all time and, after rescaling, converge to a geodesic sphere.

  • 出版日期2015-5