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

Autor:	Karigiannis, Spiro, Leung, Nat Chun-Ho
Rok vydání:	2011
Předmět:	Mathematics - Differential Geometry Mathematics - Symplectic Geometry 53C38
Zdroj:	Annals of Global Analysis and Geometry 42 (2012), 371-389
Druh dokumentu:	Working Paper
DOI:	10.1007/s10455-012-9317-1
Popis:	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. Comment: 16 pages, no figures. Version 2: Only minor cosmetic and typographical revisions. To appear in "Annals of Global Analysis and Geometry."
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1108.6090 Zobrazit plný text záznamu View this record from Arxiv