Minimization of Conformally Invariant Energies
نویسندگان
چکیده
منابع مشابه
A Note on Y-energies of Knots
We study a 1-form which can be given by a vector in a conformally invariant way. We then study conformally invariant functionals associated to a “Y-diagram” on the space of knots which are made from the 1-form.
متن کاملSe p 20 04 Conformally invariant energies of knots II ∗
Conformally invariant functionals on the space of knots are introduced via extrinsic confor-mal geometry of the knot and integral geometry on the space of spheres. Our functionals are expressed in terms of a complex-valued 2-form which can be considered as the cross-ratio of a pair of infinitesimal segments of the knot. We show that our functionals detect the unknot as the total curvature does,...
متن کاملSe p 20 04 Conformally invariant energies of knots I ∗
Conformally invariant functionals on the space of knots are introduced via extrinsic confor-mal geometry of the knot and integral geometry on the space of spheres. Our functionals are expressed in terms of a complex-valued 2-form which can be considered as the cross-ratio of a pair of infinitesimal segments of the knot. We show that our functionals detect the unknot as the total curvature does,...
متن کاملSe p 20 04 Conformally invariant energies of knots
Conformally invariant functionals on the space of knots are introduced via extrinsic confor-mal geometry of the knot and integral geometry on the space of spheres. Our functionals are expressed in terms of a complex-valued 2-form which can be considered as the cross-ratio of a pair of infinitesimal segments of the knot. We show that our functionals detect the unknot as the total curvature does,...
متن کاملConformally Invariant Non-local Operators
On a conformal manifold with boundary, we construct conformally invariant local boundary conditions B for the conformally invariant power of the Laplacian k , with the property that ( k , B) is formally self-adjoint. These boundary problems are used to construct conformally invariant nonlocal operators on the boundary Σ, generalizing the conformal Dirichlet-to-Robin operator, with principal par...
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تاریخ انتشار 1996