arXiv
Open Access
2019
Orientability of min-max hypersurfaces in manifolds of positive Ricci curvature
Alejandra Ramírez-Luna
Abstrak
Let $M^{n+1}$ be an orientable compact Riemannian manifold with positive Ricci curvature. We prove that the Almgren-Pitts width of $M^{n+1}$ is achieved by an orientable index $1$ minimal hypersurface with multiplicity $1$ and optimal regularity. This extends to dimensions $n+1\geq 8$ the results of Ketover-Marques-Neves arXiv:1601.04514v1 [math.DG] and X. Zhou arXiv:1504.00966v2 [math.DG].
Topik & Kata Kunci
Penulis (1)
A
Alejandra Ramírez-Luna
Akses Cepat
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- Tahun Terbit
- 2019
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