Lotay, JD;
Pacini, T;
(2019)
From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness.
Bollettino dell'Unione Matematica Italiana
, 12
(1-2)
pp. 63-82.
10.1007/s40574-018-0183-z.
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Abstract
Given a minimal Lagrangian submanifold L in a negative Kähler–Einstein manifold M, we show that any small Kähler–Einstein perturbation of M induces a deformation of L which is minimal Lagrangian with respect to the new structure. This provides a new source of examples of minimal Lagrangians. More generally, the same is true for the larger class of totally real J-minimal submanifolds in Kähler manifolds with negative definite Ricci curvature.
| Type: | Article |
|---|---|
| Title: | From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s40574-018-0183-z |
| Publisher version: | https://doi.org/10.1007/s40574-018-0183-z |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/1555054 |
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