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arXiv · 2001.07689

On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index

Yangyang Li
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Abstract

We show that a bumpy closed Riemannian manifold $(M^{n+1}, g)$ $(3 \leq n+1 \leq 7)$ admits a sequence of connected closed embedded two-sided minimal hypersurfaces whose areas and Morse indices both tend to infinity. This improves a previous result by O. Chodosh and C. Mantoulidis on connected minimal hypersurfaces with arbitrarily large area.

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BibTeXRIS

Yangyang Li. 2020-01-21. On the Existence of Minimal Hypersurfaces with Arbitrarily Large Area and Morse Index. https://doi.org/10.2140/gt.2022.26.2713

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