Sasaki-Ricci flow equation on five-dimensional Sasaki-Einstein space $Y^{p,q}$

Abstract

We analyze the transverse Kähler-Ricci flow equation on Sasaki-Ein\-stein space $Y^{p,q}$. Explicit solutions are produced representing new five-dimensional Sasaki structures. Solutions which do not modify the transverse metric preserve the Sasaki-Einstein feature of the contact structure. If the transverse metric is altered, the deformed metrics remain Sasaki, but not Einstein.

12 pages

References in corpus (6)

• Contact Hamiltonian Mechanics
• Contact Hamiltonian Systems
• Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
• Conformal Killing-Yano Tensors on Manifolds with Mixed 3-Structures
• Complete integrability of geodesic motion in Sasaki-Einstein toric $Y^{p,q}$ spaces
• Transverse Kähler-Ricci flow and deformations of the metric on the Sasaki space $T^{1,1}$