Hypersurfaces of prescribed curvature measure

Academic Article


  • We consider the corresponding Christoffel-Minkowski problem for curvature measures. The existence of star-shaped (n - k)-convex bodies with prescribed kth curvature measures (k > 0) has been a longstanding problem. This is settled in this paper through the establishment of a crucial a priori C 2-estimate for the corresponding curvature equation on S n. © 2012.
  • Authors

    Published In

    Digital Object Identifier (doi)

    Author List

  • Guan P; Li J; Li Y
  • Start Page

  • 1927
  • End Page

  • 1942
  • Volume

  • 161
  • Issue

  • 10