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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 th…
math.DG2025
Infinitely Many Surfaces with Prescribed Mean Curvature in the Presence of a Strictly Stable Minimal Surface
Pedro Gaspar, Jared Marx-Kuo
We construct infinitely many distinct hypersurfaces with prescribed mean curvature (PMC) for a large class of prescribing functions when is a closed smooth manifold…