Polynomial Structures in Generalized Geometry
Abstract
On the generalized tangent bundle of a smooth manifold, we study skewsymmetric endomorphism satisfying an arbitrary polynomial equation with real constant coefficients. We study the compatibility of these structures with the de Rham operator and the CourantDorfman bracket. In particular we isolate several conditions that when restricted to the motivating example of generalized almost complex structure are equivalent to the notion of integrability.
 Publication:

arXiv eprints
 Pub Date:
 June 2021
 arXiv:
 arXiv:2106.02798
 Bibcode:
 2021arXiv210602798A
 Keywords:

 Mathematics  Differential Geometry;
 Mathematics  Symplectic Geometry
 EPrint:
 39 pages