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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…