All superconformal surfaces in $${\mathbb R^4}$$ in terms of minimal surfaces

Author:

Dajczer Marcos,Tojeiro Ruy

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference15 articles.

1. Burstall, F., Ferus, D., Leschke, K., Pedit, F., Pinkall, U.: Conformal geometry of surfaces in the 4-sphere and quaternions, Lecture Notes in Mathematics, vol. 1772. Springer, Heidelberg (2002)

2. Bryant, R.: Conformal and minimal immersions of compact surfaces into the 4-sphere. J. Diff. Geom. 17, 455–473 (1982)

3. Castro, I.: Lagrangian surfaces with circular ellipse of curvature in complex space forms. Math. Proc. Camb. Phil. Soc. 136, 239–245 (2004)

4. Friedrich, T.: On superminimal surfaces. Arch. Math. 33, 41–56 (1997)

5. Guadalupe, I., Rodríguez, L.: Normal curvature of surfaces in space forms. Pac. J. Math. 106, 95–103 (1983)

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