Embedded area-constrained Willmore tori of small area in Riemannian three-manifolds I: minimization
We construct embedded Willmore tori with small area constraint in Riemannian three-manifolds under some curvature condition used to prevent Möbius degeneration. The construction relies on a Lyapunov-Schmidt reduction; to this aim we establish new geometric expansions of exponentiated small symmetric...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
London Mathematical Society
2017
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