60 citations · 137 across the 27 of their papers we have counts for
Showing 2009Show all
3 papers · 1 filter
math.DG2009★ 1 cited
A d'Alembert Formula for Hopf Hypersurfaces
Thomas A. Ivey
A Hopf hypersurface in complex hyperbolic space CH^n is one in which the complex structure applied to the normal vector is a principal direction at each point. In this paper, Hopf…
math.DG2009
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…
math.DG2009
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…