Modified Calabi-Yau manifolds with torsion. (English) Zbl 0859.53050

Yau, Shing-Tung (ed.), Essays on mirror manifolds. Cambridge, MA: International Press. 480-488 (1992).
The author gives a brief review of a modified concept of Calabi-Yau manifolds. These new manifolds form a special class of approximate solutions to the classical string equations of motion. From the geometric viewpoint these spaces are bihermitian manifolds admitting a natural connection with torsion and a complex local product structure. The superspace formalism for these manifolds is described.
For the entire collection see [Zbl 0816.00010].


53C55 Global differential geometry of Hermitian and Kählerian manifolds
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory