For every fixed, we explicitly construct -dimensional families of embedded constrained Willmore tori parametrized by their conformal class \; with deforming the homogenous torus \; of conformal class \; The variational vector field at is hereby given by a non…
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2 results for “Willmore-stability”
The paper studies Willmore surfaces in 4D conformal manifolds and finds the Clifford torus is strictly Willmore-stable.
problem Exploring the Willmore functional for surfaces in 4D conformal manifolds.
method Detailed calculation of first and second variations, derivation of Euler-Lagrange equation in a conformally invariant form.
result The Clifford torus in is strictly Willmore-stable, supporting a conjecture.