Abstract
We define integrable, big-isotropic structures on a manifold M as subbundles E ⊆ TM ⊕ T*M that are isotropic with respect to the natural, neutral metric (pairing) g of TM ⊕ T*M and are closed by Courant brackets (this also implies that [E, E⊥g] ⊆E⊥g). We give the interpretation of such a structure by objects of M, we discuss the local geometry of the structure and we give a reduction theorem.
Original language | English |
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Pages (from-to) | 487-516 |
Number of pages | 30 |
Journal | International Journal of Geometric Methods in Modern Physics |
Volume | 4 |
Issue number | 3 |
DOIs | |
State | Published - May 2007 |
Keywords
- Big-isotropic structures
- Courant bracket
- Integrability
- Reduction
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)