- Publications
- Influence

Claim Your Author Page

Ensure your research is discoverable on Semantic Scholar. Claiming your author page allows you to personalize the information displayed and manage publications.

Conformally invariant functionals on the space of knots are introduced via extrinsic conformal geometry of the knot and integral geometry on the space of spheres. Our functionals are expressed in… (More)

- R'emi Langevin, Jun O'Hara
- 2008

The set of osculating circles of a given curve in S 3 forms a lightlike curve in the set of oriented circles in S 3 . We show that its “ 1 -dimensional measure” with respect to the pseudo-Riemannian… (More)

Let $F$ be a codimension-one, $C^2$-foliation on a manifold $M$ without boundary. In this work we show that if the Godbillon--Vey class $GV(F) \in H^3(M)$ is non-zero, then $F$ has a hyperbolic… (More)

This paper has been withdrawn by the authors, as it was combined with"Conformally invariant energies of knots I"(math/0409396) to be"Conformally invariant energies of knots"which has replaced the… (More)

A test object such as an engine cylinder is inspected for any defect such as a crack, a blowhole, a cavity, or the like by applying vibration to the test object at two different positions on a side… (More)

We give a new proof of the conformal invariance of the writhe of a knot from a conformal geometric vewpoint.

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… (More)