American journal of mathematics, 2016-04, Vol.138 (2), p.287-327
2016
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Details
- Autor(en) / Beteiligte
- Titel
- EXISTENCE AND NON-EXISTENCE OF AREA-MINIMIZING HYPERSURFACES IN MANIFOLDS OF NON-NEGATIVE RICCI CURVATURE
- Ist Teil von
- American journal of mathematics, 2016-04, Vol.138 (2), p.287-327
- Ort / Verlag
- Baltimore: Johns Hopkins University Press
- Erscheinungsjahr
- 2016
- Quelle
- Project MUSE
- Beschreibungen/Notizen
- We study minimal hypersurfaces in manifolds of non-negative Ricci curvature, Euclidean volume growth and quadratic curvature decay at infinity. By comparison with capped spherical cones, we identify a precise borderline for the Ricci curvature decay. Above this value, no complete area-minimizing hypersurfaces exist. Below this value, in contrast, we construct examples.