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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…
math.DG2009
Isoperimetric inequalities for wave fronts and a generalization of Menzin's conjecture for bicycle monodromy on surfaces of constant curvature
Sean Howe, Matthew Pancia, Valentin Zakharevich
We prove generalizations of the isoperimetric inequality for both spherical and hyperbolic wave fronts (i.e. piecewise smooth curves which may have cusps). We then discuss "bicycle…