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The Quarterly Journal of Mathematics 2004 55(3):253-265; doi:10.1093/qmath/hag027
© 2004 by Oxford University Press
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On a new construction of special Lagrangian immersions in complex Euclidean space

Ildefonso Castro1 and Francisco Urbano2

1 Departamento de Matemáticas, Escuela Politécnica Superior, Universidad de Jaén, 23071 Jaén, Spain 2 Departamento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain

We construct new special Lagrangian submanifolds in complex Euclidean space using a pair of minimal Legendrian submanifolds in odd-dimensional spheres and certain Lagrangian surface belonging to a family that can be considered as a generalization of the special Lagrangian surfaces in complex Euclidean plane. Our examples include those invariant under the standard action of SO(p+1)xSO(q+1) on Cn = Cp+1 xCq+1, n=p+q+2.


Received 3 March 2003. Revised 1 May 2003.


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