From generalized Kaehler to generalized Sasakian structures

Abstract

This is an expository paper, which provides a first introduction to geometric structures on $TM\oplus T^{\ast }M$. The paper contains definitions and characteristic properties of generalized complex, generalized Kaehler, generalized (normal, almost) contact and generalized Sasakian structures. A few of these properties are new.

arXiv commentLaTeX, 25 pages

References in corpus (8)

• Symmetries in generalized Kähler geometry
• Contact manifolds and generalized complex structures
• Generalized Kahler geometry and manifest N=(2,2) supersymmetric nonlinear sigma-models
• Generalized complex structures and Lie brackets
• Blow-up of generalized complex 4-manifolds
• Weak-Hamiltonian dynamical systems
• Conformal changes of generalized complex structures
• Generalized Kaehler manifolds with split tangent bundle