Complex intersection bodies Academic Article uri icon

abstract

  • We introduce complex intersection bodies and show that their properties and applications are similar to those of their real counterparts. In particular, we generalize Busemann's theorem to the complex case by proving that complex intersection bodies of symmetric complex convex bodies are also convex. Other results include stability in the complex Busemann-Petty problem for arbitrary measures and the corresponding hyperplane inequality for measures of complex intersection bodies. © 2013 London Mathematical Society.

author list (cited authors)

  • Koldobsky, A., Paouris, G., & Zymonopoulou, M.

citation count

  • 20

publication date

  • October 2013

publisher