Reduction of Sasakian manifolds Article

Grantcharov, G, Ornea, L. (2001). Reduction of Sasakian manifolds . JOURNAL OF MATHEMATICAL PHYSICS, 42(8), 3809-3816. 10.1063/1.1386636

cited authors

  • Grantcharov, G; Ornea, L

authors

abstract

  • We show that the contact reduction can be specialized to Sasakian manifolds. We prove that the Sasakian reduction is compatible with the Kähler reduction both in the cone construction and in the Boothby-Wang fibration. In particular, applying Futaki's results, we obtain a sufficient condition for the reduced space of a regular Sasakian-Einstein manifold to be Sasakian-Einstein. We present examples of Sasakian-Einstein manifolds obtained by S1 reduction of standard Sasakian spheres. © 2001 American Institute of Physics.

publication date

  • January 1, 2001

published in

Digital Object Identifier (DOI)

start page

  • 3809

end page

  • 3816

volume

  • 42

issue

  • 8