Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds, II: Morse Theory

This is the second part 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 relies on a Lyapunov-Schmidt reduction, the difficulty being the Mübius degeneration of the tori. In the first paper t...

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Hlavní autoři: Ikoma, N, Malchiodi, A, Mondino, A
Médium: Journal article
Jazyk:English
Vydáno: Johns Hopkins University Press 2017