Steiner and Schwarz symmetrization in warped products and fiber bundles with density

  • Frank Morgan

    Williams College, Williamstown, USA
  • Sean Howe

    Universiteit Leiden, Netherlands
  • Nate Harman

    University of Massachusetts, Amherst, USA

Abstract

We provide very general symmetrization theorems in arbitrary dimension and codimension, in products, warped products, and certain fiber bundles such as lens spaces, including Steiner, Schwarz, and spherical symmetrization and admitting density.

Cite this article

Frank Morgan, Sean Howe, Nate Harman, Steiner and Schwarz symmetrization in warped products and fiber bundles with density. Rev. Mat. Iberoam. 27 (2011), no. 3, pp. 909–918

DOI 10.4171/RMI/657