The goal of the present note is to survey and announce recent results by the authors about existence of embedded Willmore surfaces with small area constraint in Riemannian three‐manifolds.The common feature about the results presented here is that the constructions rely on suitable Lyapunov‐Schmidt reductions.
Area-constrained Willmore surfaces of small area in Riemannian three-manifolds: an approach via Lyapunov-Schmidt reduction
MALCHIODI, ANDREA;
2017
Abstract
The goal of the present note is to survey and announce recent results by the authors about existence of embedded Willmore surfaces with small area constraint in Riemannian three‐manifolds.The common feature about the results presented here is that the constructions rely on suitable Lyapunov‐Schmidt reductions.File in questo prodotto:
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231696530.pdf
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