Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 51, Number 3 (2014), 673-695.
Deformations of special Legendrian submanifolds with boundary
In this paper, for a compact special Legendrian submanifold with smooth boundary of contact Calabi--Yau manifolds we study the deformation of it with boundary confined in an appropriately chosen contact submanifold of codimension two which we also call a scafford (Definition 2.3) by analogy with Butsher . Our first result shows that it cannot be deformed, and the second claims that deformations of such a special Legendrian submanifold forms a one-dimensional smooth manifold under suitably weaker boundary confinement conditions. They may be viewed as supplements of the closed case considered by Tomassini and Vezzoni .
Osaka J. Math., Volume 51, Number 3 (2014), 673-695.
First available in Project Euclid: 23 October 2014
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Lu, Guangcun; Chen, Xiaomin. Deformations of special Legendrian submanifolds with boundary. Osaka J. Math. 51 (2014), no. 3, 673--695. https://projecteuclid.org/euclid.ojm/1414090798