Almost complex structures on cotangent bundles and generalized geometry

作者：Nannicini Antonella^*

来源：Journal of Geometry and Physics, 2010, 60(11): 1781-1791.

DOI：10.1016/j.geomphys.2010.06.004

• Generalized geometry
• Symplectic vector bundles
• Calibrated complex structures

We study a class of complex structures on the generalized tangent bundle of a smooth manifold M endowed with a torsion free linear connection, V. We introduce the concept of V-integrability and we study integrability conditions. In the case of the generalized complex structures introduced by Hitchin (2003) in 121, we compare the two concepts of integrability. Moreov

• 出版日期2010-11