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When can minimal hypersurfaces be connected by mean curvature flow?
Open accessAbstract
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 analogue of this phenomenon and present examples that suggest additional topological and variational obstructions to the existence of connecting mean curvature flows.
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References 25
Research works printed but not linked: 26
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Metadata
- Authors
- Chen, J., & Gaspar, P.
- Affiliations
- University of Pennsylvania (US)
- Pontificia Universidad Católica de Chile (CL)
- Corresponding author
- Chen, Jingwen
- Venue
- Mathematische Annalen
- Published
- 2026-04-29
- Volume
- 395
- Issue
- 2
- ISSN
- 0025-5831 (ISSN-L)
- 1432-1807
- OpenAlex
- W4415345285
- Cited by
- 0
- References
- 25
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Mathematische Annalen (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- Funders
- Agencia Nacional de Investigación y Desarrollo (11230874)
- Topics
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Physical Sciences › Mathematics › Geometry and Topology › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Geometry and Topology › Geometric and Algebraic Topology
- Keywords
- mean curvature flow, minimal hypersurfaces, Morse theory, critical points, topological obstructions
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