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math.DG2000
Quaternionic holomorphic geometry: Pluecker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori
D. Ferus, K. Leschke, F. Pedit +1
The paper develops the fundamentals of quaternionic holomorphic curve theory. The holomorphic functions in this theory are conformal maps from a Riemann surface into the 4-sphere,…
math.DG2000
Conformal Geometry of Surfaces in the 4-Sphere and Quaternions
F. Burstall, D. Ferus, K. Leschke +2
This is the first comprehensive introduction to the authors' recent attempts toward a better understanding of the global concepts behind spinor representations of surfaces in 3-spa…