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(with J.M.
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American
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*Ricci
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pp. 1–53
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Mathematical Surveys and Monographs vol. 135, American
Mathematical Society, 2007.

*On Solitons for the Ricci Flow*
(Duke University, 1992)

[This is a PDF version of a
DVI file, in which some fonts have been converted incorrectly, and
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(click on titles to download reprints in PDF format; these are readable with Acrobat Reader, available for free here)

*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 R*^{3}

Communications in Partial
Differential Equations, 19 (1994) #9/10, 1481-1500.

*Surfaces with orthogonal families of
circles*

Proc. A.M.S. 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
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Proc. A.M.S. 125 (1997) #4, 1203-1208

*On Isometric and Minimal Isometric Embeddings* (with J.M.
Landsberg)

Duke Math. Journal 89 (1997), 555-576. (arXiv
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*Bäcklund transformations and knots of constant torsion*
(with A. Calini)

Journal of Knot Theory and its Ramifications, 7
#6 (1998), 719-746

(arXiv
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*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 (arXiv
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*Helices, Hasimoto surfaces and
Bäcklund transformations*

Canadian Math. Bull. 43 (2000),
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*Minimal Curves of Constant Torsion*

Proc. A.M.S. 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
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Pacific Math. J. 208 (2003),
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*Parametric Bäcklund Transformations I: Phenomenology* (with
J. Clelland)

- Trans. Amer. Math. Soc. 357 (2005), 1061–1093.
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*Finite-gap solutions of the
vortex filament equation: **symmetric solutions and genus
one solutions* (with A. Calini)

J. Nonlin. Sci. 15 (2005),
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*Geometry and Topology of
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pp. 187–202 in *Proceedings
of the Seventh International Conference on Geometry,*

*Integrablility
and Quantization* (Varna, 2005), Bulgarian Academy of Sciences,
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*Finite-gap solutions of the
vortex filament equation: Isoperiodic Deformations* (with A.
Calini)

J. Nonlin. Sci 17 (2007), 527-567.*Spectral
stability analysis for periodic traveling wave solutions of NLS and
CGL perturbations* (with S. Lafortune)

Physica D 237
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Integrability for Nonlinear Wave Equations* (with J.
Clelland)

Asian J. Math. 13 (2009), 13-64. (arXiv
link)*Hopf Hypersurfaces of Small Hopf Principal
Curvature in CH*^{2} (with P.J. Ryan)Geometriae
Dedicata 141 (2009), 147-161.

Remarks on KdV-type Flows on Star-Shaped Curves

Symmetric Pseudospherical Surfaces I: General Theory

The structure Jacobi operator for hypersurfaces in CP

Austere Submanifolds of Dimension Four: Examples and Maximal Types

*Stability
of Small-Amplitude Torus Knot Solutions of the Localized Induction
Equation *(with A. Calini)

J.
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*A d'Alembert Formula for Hopf Hypersurfaces, *Results
in Math. 60 (2011), 293-309. (arXiv
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*The Ricci-* Tensor for Hypersurfaces in CP*^{n}
*and CH*^{n} *(*with P.J. Ryan),

Tokyo
J. Math. 34 (2011), 445-471. (arXiv
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*Ruled Austere Submanifolds of Dimension Four*
(with M. Ionel),

Differential Geometry and its Applications 30
(2012), 588-603. (arXiv
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*Integrable Flows for Starlike Curves in Centroaffine Space*
(with A. Calini and G. Marí Beffa),

SIGMA* *9
(2013) 022, 21 pages. (arXiv
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*Austere Submanifolds in Complex Projective Space *(with
M. Ionel)

*On Bäcklund Transformations of sine-Gordon Type *(with
J. Clelland)

*Hypersurfaces in CP ^{2} and CH^{2 }with Two
Distinct Principal Curvatures*
(with P.J. Ryan)

*A new class of ruled real hypersurfaces in CP ^{2} and
CH^{2} *(with P.J. Ryan)