Thomas A. Ivey

collaborators

4 papers

math.DG2026

On the Darboux Integrability of the Constant Mean Curvature One Equation for Surfaces in Hyperbolic 3 space

Mark E. Fels, Thomas A. Ivey

We show, using group theoretic constructions, that the system of elliptic partial differential equations whose solutions determine the constant mean curvature immersions into hyper…

math.DG2026

Cohomogeneity-One Ruled Hypersurfaces in $CP^{2}$ and $C H^{2}$

Thomas A. Ivey, Patrick J. Ryan

In this paper, we show how to construct a special class of ruled hypersurfaces in the nonflat complex space forms $CP^{n}$ and $C H^{n}$ . This is done by taking an arb…

math.DG2024

The Geometry of Darboux Integrable Elliptic Systems

Mark E. Fels, Thomas A. Ivey

We characterize real elliptic differential systems whose solutions can be expressed in terms of holomorphic solutions to an associated holomorphic Pfaffian system $H$ on a…

math.DG2024

Cohomogeneity one solitons for the isometric flow of $G_{2}$ -structures

Thomas A. Ivey, Spiro Karigiannis

We consider the existence of cohomogeneity one solitons for the isometric flow of $G_{2}$ -structures on the following classes of torsion-free $G_{2}$ -manifolds: the Euclidean $R^{7}$ wit…

On the Darboux Integrability of the Constant Mean Curvature One Equation for Surfaces in Hyperbolic 3 space

Cohomogeneity-One Ruled Hypersurfaces in CP2 and CH2

The Geometry of Darboux Integrable Elliptic Systems

Cohomogeneity one solitons for the isometric flow of G2​-structures

Cohomogeneity-One Ruled Hypersurfaces in $CP^{2}$ and $C H^{2}$

Cohomogeneity one solitons for the isometric flow of $G_{2}$ -structures