On the geometry of CMC hyper surfaces embedded in a manifold of dimension 4 or 5
Lead Research Organisation:
King's College London
Department Name: Mathematics
Abstract
Properties of constant mean curvature surfaces, with assumptions on completeness, compactness, bounded second fundamental form and connectedness. Currently, I am proving that a simply connected, complete, constant mean curvature surface with bounded second fundamental form is either compact or not contained in an extrinsic ball. I am using techniques from my supervisor's paper and from similar results that are for minimal surfaces only.
We are investigating CMC hypersurfaces embedded in Euclidean and non-Euclidean space which have bounded second fundamental form, are non-compact and are complete.
We are investigating CMC hypersurfaces embedded in Euclidean and non-Euclidean space which have bounded second fundamental form, are non-compact and are complete.
Organisations
People |
ORCID iD |
Giuseppe Tinaglia (Primary Supervisor) | |
Alex Zhou (Student) |
Studentship Projects
Project Reference | Relationship | Related To | Start | End | Student Name |
---|---|---|---|---|---|
EP/R513064/1 | 01/10/2018 | 30/09/2023 | |||
2289230 | Studentship | EP/R513064/1 | 01/10/2019 | 31/03/2023 | Alex Zhou |