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math.DG2014★ 2 cited
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds II: Morse Theory
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
This is the second of a series of two papers where we construct embedded Willmore tori with small area constraint in Riemannian three-manifolds. In both papers the construction rel…
math.DG2014★ 4 cited
Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: Minimization
Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino
We construct embedded Willmore tori with small area constraint in Riemannian three-manifolds under some curvature condition used to prevent Möbius degeneration. The construction re…