Constrained Willmore surfaces

Calculus of Variations and Partial Differential Equations

Volumn 32, Issue 2, 2008, Pages 263-277

  Bohle, Christoph ^a   Peters, G Paul ^a   Pinkall, Ulrich ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 41149144666     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-007-0142-5     Document Type: Article

References (21)

1. Blaschke, W.: Vorlesungen über Differentialgeometrie III: Differentialgeometrie der Kreise und Kugeln. Grundlehren 29. Springer, Berlin (1929)
2. Bohle, C., Peters, G.P.: Soliton Spheres (2007) (in preparation)
3. Bohle, C., Peters, G.P.: Bryant surfaces with smooth ends, arXiv:math.DG/0411480
4. Bohle, C.: Constrained Willmore tori in the 4-sphere (2007) (in preparation)
5. Bryant, R.L.: A duality theorem for Willmore surfaces. J. Diff. Geom. 20, 23-53 (1984)
6. Bryant, R.L.: Surfaces in conformal geometry. The mathematical heritage of Hermann Weyl (Durham, NC, 1987). In: Proceedings of symposium in pure mathematics, Vol. 48, pp. 227-240. American Mathematical Society, Providence (1988)
7. Burstall, F., Pedit, F., Pinkall, U.: Schwarzian derivatives and flows of surfaces. Contemp. Math. 308, 39-61 (2002) arXiv: math.DG/0111169
8. Early, C.J., Eells, J.: A fibre bundle description of Teichmüller theory. J. Diff. Geom. 3, 19-43 (1969)
9. Germain, S.: Recherches sur la théorie des surfaces élastiques. Courcier, Paris (1821)
10. Garsia, A.M.: An imbedding of closed Riemann surfaces in Euclidean space. Comment. Math. Helv. 35, 93-110 (1961)
11. Langer, J., Singer, D.A.: The total squared curvature of closed curves. J. Differ. Geom. 20, 1-22 (1984)
12. 3. Invent. Math. 81, 379-386 (1985)
13. Pinkall, U., Sterling, I.: Willmore surfaces. Math. Intelligencer 9, 38-43 (1987)
14. Richter, J.: Conformal maps of a Riemann surface into the space of quaternions. Thesis, TU-Berlin (1997)
15. Rüedy, R.A.: Embeddings of open Riemann surfaces. Comment. Math. Helv. 46, 214-225 (1971)
16. Schmidt, M.: A proof of the Willmore conjecture, arXiv: math.DG/0203224
17. Sziegoleit, F.: Bedingt minimale Flächen. Diplomarbeit, TU-Berlin (2004)
18. Tromba, A.J.: Teichmüller Theory in Riemannian Geometry. Lectures in Mathematics ETH Zürich. Birkhäuser Verlag, Basel (1992)
19. Weiner J.L. (1978) On a problem of Chen, Willmore et al. Indiana Univ. Math. J. 27, 19-35
20. Willmore, T.J.: Note on embedded surfaces. An. Şti. Univ. "Al. I. Cuza" Iaşi Secţ. I a Mat. (N.S.) 11, 493-496 (1965)
21. Willmore, T.J.: Riemannian Geometry. Oxford University Press, Oxford (1993)