23 citations · 27 across the 4 of their papers we have counts for
4 papers · 1 filter
Symmetric Pseudospherical Surfaces I: General Theory
Josef F. Dorfmeister, Thomas A. Ivey, Ivan Sterling
We apply the loop group method developed by Zakharov-Shabat, Terng-Uhlenbeck and Toda to the study of symmetries of pseudospherical surfaces in R^3. In this paper (part I) we consi…
Austere Submanifolds of Dimension Four: Examples and Maximal Types
Marianty Ionel, Thomas Ivey
Austere submanifolds in Euclidean space were introduced by Harvey and Lawson in connection with their study of calibrated geometries. The algebraic possibilities for second fundame…
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…
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…