1 citations · 1 across the 7 of their papers we have counts for
10 papers
A comparison theorem for the planar strip isoperimetric problem
Skilyn Leon, Rosa Pavlak, Evelyn Pulla +1
We consider the isoperimetric problem with planar density equal to 1 on a horizontal strip and to a constant outside the strip. We resolve a conjecture made by Cañete-Miranda…
Non-preservation of -concavity for the porous medium equation in higher dimensions
Xi Sisi Shen, Pranay Talla
In this short note, we prove that -concavity of the pressure is not preserved for the porous medium equation in dimensions and higher for any $α\in [0,1]\backslash \{\frac…
The continuity equation for Hermitian metrics: Calabi estimates, Chern scalar curvature and Oeljeklaus-Toma manifolds
Shuang Liang, Xi Sisi Shen, Kevin Smith
We prove local Calabi and higher order estimates for solutions to the continuity equation introduced by La Nave-Tian and extended to Hermitian metrics by Sherman-Weinkove. We apply…
The continuity equation on Hopf and Inoue surfaces
Xi Sisi Shen, Kevin Smith
We study the continuity equation of La Nave-Tian, extended to the Hermitian setting by Sherman-Weinkove, on Hopf and Inoue surfaces. We prove a priori estimates for solutions in bo…
Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics
Mehdi Lejmi, Xi Sisi Shen
In the compact setting, Aazami and Ream \cite{Aazami:2022th} proved that Riemannian metrics dual to a class of Lorentzian metrics, called (compact) general plane-fronted waves, are…
A Chern-Calabi flow on Hermitian manifolds
Xi Sisi Shen
We study an analogue of the Calabi flow in the non-Kähler setting for compact Hermitian manifolds with vanishing first Bott-Chern class. We prove a priori estimates for the evolvin…