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From surfaces in the 5-sphere to 3-manifolds in complex projective 3-space

Published online by Cambridge University Press:  17 April 2009

J. Bolton ,
C. Scharlach  and
L. Vrancken
J. Bolton
Affiliation:
Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom e-mail: john.bolton@dur.ac.uk
C. Scharlach
Affiliation:
Fachbereich Mathematik, Sekr. MA 8–3, Technische Universität Berlin, Strasse des 17 Juni 136, 10623 Berlin, Germany e-mail: cs@sfb288.math.tu-berlin.de
L. Vrancken
Affiliation:
Laboratoire de Mathématiques, LAMATH, ISTV2, Université de Valenciennes59313 Valenciennes Cedex 9, France e-mail: luc.vrancken@univ-valenciennes.fr
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In a previous paper it was shown how to associate with a Lagrangian submanifold satisfying Chen's equality in 3-dimensional complex projective space, a minimal surface in the 5-sphere with ellipse of curvature a circle. In this paper we focus on the reverse construction.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 66 , Issue 3 , December 2002 , pp. 465 - 475
Copyright
Copyright © Australian Mathematical Society 2002

References

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