33 citations · 181 across the 33 of their papers we have counts for
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math.DG2013★ 2 cited
Willmore flow of surfaces in Riemannian spaces I: Concentration-compactness
Jan Metzger, Glen Wheeler, Valentina-Mira Wheeler
In this paper we study the local regularity of closed surfaces immersed in a Riemannian 3-manifold flowing by Willmore flow. We establish a pair of concentration-compactness altern…
math.DG2013★ 10 cited
Chen's conjecture and epsilon-superbiharmonic submanifolds of Riemannian manifolds
Glen Wheeler
B.-Y. Chen famously conjectured that every submanifold of Euclidean space with harmonic mean curvature vector is minimal. In this note we establish a much more general statement fo…
math.AP2013★ 1 cited
Gap phenomena for a class of fourth-order geometric differential operators on surfaces with boundary
Glen Wheeler
In this paper we establish a gap phenomenon for immersed surfaces with arbitrary codimension, topology and boundaries that satisfy one of a family of systems of fourth-order anisot…