60 citations · 137 across the 27 of their papers we have counts for
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math.DG2008★ 23 cited
Hopf Hypersurfaces of Small Hopf Principal Curvature in CH^2
Thomas A. Ivey, Patrick J. Ryan
Using the methods of moving frames and exterior differential systems, we show that there exist Hopf hypersurfaces in complex hyperbolic space CH^2 with any specified value of the H…
math.DG2008★ 4 cited
The structure Jacobi operator for hypersurfaces in CP^2 and CH^2
Thomas A. Ivey, Patrick J. Ryan
Using the methods of moving frames, we study real hypersurfaces in complex projective space CP^2 and complex hyperbolic space CH^2 whose structure Jacobi operator has various speci…
nlin.SI2008★ 60 cited
Remarks on KdV-type Flows on Star-Shaped Curves
Annalisa Calini, Thomas Ivey, Gloria Mari Beffa
We study the relation between the centro-affine geometry of star-shaped planar curves and the projective geometry of parametrized maps into $\RP^1$. We show that projectivization i…