Free boundary minimal surfaces in the unit ball: recent advances and open questions
M Li - arXiv preprint arXiv:1907.05053, 2019 - arxiv.org
In this survey, we discuss some recent results on free boundary minimal surfaces in the
Euclidean unit-ball. The subject has been a very active field of research in the past few years …
Euclidean unit-ball. The subject has been a very active field of research in the past few years …
Free boundary minimal disks in convex balls
R Haslhofer, D Ketover - arXiv preprint arXiv:2307.01828, 2023 - arxiv.org
In this paper, we prove that every strictly convex 3-ball with nonnegative Ricci-curvature
contains at least 3 embedded free-boundary minimal 2-disks for any generic metric, and at …
contains at least 3 embedded free-boundary minimal 2-disks for any generic metric, and at …
Free boundary minimal hypersurfaces with least area
In this paper, we prove the existence of the free boundary minimal hypersurface of least area
in compact manifolds with boundary. Such hypersurface can be viewed as the ground state …
in compact manifolds with boundary. Such hypersurface can be viewed as the ground state …
Uryson width of three dimensional mean convex domain with non-negative Ricci curvature
We prove that for every three dimensional manifold with nonnegative Ricci curvature and
strictly mean convex boundary (non-empty), there exists a Morse function so that each …
strictly mean convex boundary (non-empty), there exists a Morse function so that each …
Geometry of positive scalar curvature on complete Riemannian manifold
B Zhu - 2022 - search.proquest.com
The study of the interplay of geometry, topology, and curvature lower bound is an important
topic in differential geometry. Many progresses have been made on the manifolds with …
topic in differential geometry. Many progresses have been made on the manifolds with …