Ricci
solitons on compact three-manifolds
-Differential Geometry and its Applications, 3 (1993) 301-307.
New
Examples
of Complete Ricci Solitons
- AMS Proceedings 122 (1994) #1, 241-246.
The
Ricci
Flow on Radially Symmetric R3
-Communications in Partial Differential Equations, 19 (1994) #9/10,
1481-1500.
Surfaces
with orthogonal families of circles
- AMS Proceedings 123 (1995) #3, 865-872.
Affine
Isometric Embeddings and Rigidity
-Geometriae Dedicata, 64 (1997), 125-144.
Local
Existence of Ricci Solitons
- Manuscripta Mathematica 91 (1996), 151-162.
Ricci
solitons on compact Kähler surfaces
- AMS Proceedings 125 (1997) #4, 1203-1208
On Isometric and Minimal Isometric Embeddings (with J.M.
Landsberg)
- Duke Math. Journal 89 (1997), 555-576
(go here
for abstract, TeX source & postscript)
Bäcklund transformations and knots of constant torsion
(with
A. Calini)
- Journal of Knot Theory and its Ramifications, 7 #6 (1998), 719-746
(go here
for abstract, TeX source & postscript of an earlier version;
gzipped postscript file for the final version available here)
Topology
of constant torsion curves evolving under the sine-Gordon equation
(with A. Calini)
- Phys. Letters A, 254 (1999), 170-178.
Affine
isometric embedding for surfaces
- Geometriae Dedicata, 75 (1999), 235-243.
Knot Types, Homotopies and Stability of Elastic Rods (with D.
Singer)
- Proc. London Math. Soc.79 (1999) 429--450.
(click here
for abstract, LaTeX source & postscript)
Helices,
Hasimoto surfaces and Bäcklund transformations
- Canadian Math. Bull. 43 (2000), 427--439.
Minimal
Curves of Constant Torsion
- AMS Proceedings 128 (2000), 2095--2103.
Knot
types, Floquet spectra, and finite-gap solutions of the Vortex Filament
Equation (with A.Calini)
- Mathematics and Computers in Simulation 55 (2001), 341-350.
Connecting
geometry, topology and spectra for finite-gap NLS potentials
(with
A. Calini),
- Physica D, 152/153 (2001), 9--19.
Integrable
Geometric Evolution Equations for Curves,
- Contemp. Math. 285 (2001), 71--84.
An
inverse
problem from sub-Riemannian geometry,
- Pacific Math. J. 208 (2003), 111-124.
Parametric Bäcklund Transformations
I: Phenomenology (with
J. Clelland)
- Transactions of the AMS, 357 (2005), 1061-1093.
Finite-gap solutions
of the vortex filament equation: Symmetric Solutions
and Genus One Solutions, (with A. Calini), Journal of Nonlinear
Science, vol. 15 #5, 321-361.
Geometry and Topology of Finite-Gap Vortex Filaments, in Proceedings of the Seventh International
Conference
on Geometry, Integrablility and
Quantization (Varna, 2005), Bulgarian Academy of Sciences, Sofia
2006.