Abstract
We apply the local removable singularity theorem for
minimal laminations [W. H. Meeks III, J. Pérez and A. Ros,
Local removable singularity theorems for minimal laminations,
J. Differential Geom. 103 (2016), no. 2, 319–362] and the local picture theorem on
the scale of topology [W. H. Meeks III, J. Pérez and A. Ros,
The local picture theorem on the scale of topology,
J. Differential Geom. 109 (2018), no. 3, 509–565] to obtain two descriptive results
for certain possibly singular minimal laminations of
Funding source: National Science Foundation
Award Identifier / Grant number: DMS-1309236
Funding statement: William H. Meeks III was supported by the NSF under Award No. DMS-1309236. The second and third authors were partially supported by MINECO/FEDER grants no. MTM2014-52368-P and MTM2017-89677-P.
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© 2020 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- When the sieve works II
- A gluing approach for the fractional Yamabe problem with isolated singularities
- Dehn functions and Hölder extensions in asymptotic cones
- Gap theorem on Kähler manifolds with nonnegative orthogonal bisectional curvature
- Kähler geometry of horosymmetric varieties, and application to Mabuchi’s K-energy functional
- Asymptotics for the level set equation near a maximum
- Construction of constant mean curvature n-noids using the DPW method
- Irreducible components of the eigencurve of finite degree are finite over the weight space
- Structure theorems for singular minimal laminations
Articles in the same Issue
- Frontmatter
- When the sieve works II
- A gluing approach for the fractional Yamabe problem with isolated singularities
- Dehn functions and Hölder extensions in asymptotic cones
- Gap theorem on Kähler manifolds with nonnegative orthogonal bisectional curvature
- Kähler geometry of horosymmetric varieties, and application to Mabuchi’s K-energy functional
- Asymptotics for the level set equation near a maximum
- Construction of constant mean curvature n-noids using the DPW method
- Irreducible components of the eigencurve of finite degree are finite over the weight space
- Structure theorems for singular minimal laminations