Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections

Details Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections Deformations of calibrated subbundles of Euclidean spaces via twisting by special sections

2011-08-30

arxiv.org/abs/1108.6090v2

Mathematics

Differential Geometry

16 pages, no figures. Version 2: Only minor cosmetic and typographical revisions. To appear in "Annals of Global Analysis and

Scientific paper

We extend the "bundle constructions" of calibrated submanifolds, due to Harvey--Lawson in the special Lagrangian case, and to Ionel--Karigiannis--Min-Oo in the cases of exceptional calibrations, by "twisting" the bundles by a special (harmonic, holomorphic, parallel) section of a complementary bundle. The existence of such deformations shows that the moduli space of calibrated deformations of these "calibrated subbundles" includes deformations which destroy the linear structure of the fibre.

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