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math.DG2010
Isoperimetric problems in sectors with density
Alexander Díaz, Nate Harman, Sean Howe +1
We consider the isoperimetric problem in planar sectors with density , and with density inside the unit disk and outside. We characterize solutions as a function o…
math.DG2009
Steiner and Schwarz symmetrization in warped products and fiber bundles with density
Frank Morgan, Sean Howe, Nate Harman
We provide very general symmetrization theorems in arbitrary dimension and codimension, in products, warped products, and certain fiber bundles such as lens spaces, including Stein…