5 citations · 14 across the 15 of their papers we have counts for
4 papers · 1 filter
The Log-Convex Density Conjecture and vertical surface area in warped products
Sean Howe
We examine the vertical component of surface area in the warped product of a Euclidean interval and a fiber manifold with product density. We determine general conditions under whi…
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…
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…
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…