6533b824fe1ef96bd12801df

RESEARCH PRODUCT

On the topology of surfaces with the generalised simple lift property.

Francesca Tripaldi

subject

Pure mathematicsHyperbolic geometryminimal laminationAlgebraic geometryminimal surfaces01 natural sciencesLift (mathematics)differentiaaligeometriaMathematics - Geometric Topology510 Mathematics0103 physical sciencesFOS: MathematicsLimit of a sequence53A10 51H050101 mathematicstopologiaSimple lift propertyMathematicsProjective geometryColding and minicozzi theoryOriginal PaperMinimal surface010102 general mathematicscolding and minicozzi theory53A10Geometric Topology (math.GT)Minimal surfacesMinimal lamination16. Peace & justiceDifferential geometry51H05010307 mathematical physicsGeometry and Topologygeometriasimple lift property

description

In this paper, we study the geometry of surfaces with the generalised simple lift property. This work generalises previous results by Bernstein and Tinaglia, and it is motivated by the fact that leaves of a minimal lamination obtained as a limit of a sequence of properly embedded minimal disks satisfy the generalised simple lift property.

yearjournalcountryeditionlanguage
2020-01-01Geometriae dedicata
10.1007/s10711-019-00455-zhttps://pubmed.ncbi.nlm.nih.gov/32382197