Showing math.DGShow all
3 papers · 1 filter
math.DG2025
When can minimal hypersurfaces be connected by mean curvature flow?
Jingwen Chen, Pedro Gaspar
From the perspective of Morse theory, it is natural to investigate gradient flow trajectories between critical points. In this short note, we explore the minimal hypersurface analo…
math.DG2025
Volume spectrum of fiber bundles and the widths of Berger spheres
Jingwen Chen, Pedro Gaspar
We establish that for a fiber bundle , which is a Riemannian submersion, the volume spectrum of is bounded above by the product of the volume spectrum of and t…
math.DG2024
Allen-Cahn equation and degenerate minimal hypersurface
Jingwen Chen, Pedro Gaspar
In this short note, we present new observations and examples concerning the existence and rigidity of solutions to the Allen-Cahn equation with degenerate minimal hypersurfaces as…