Some examples of toric Sasaki-Einstein manifolds

Details Some examples of toric Sasaki-Einstein manifolds Some examples of toric Sasaki-Einstein manifolds

2007-03-16

arxiv.org/abs/math/0703501v3

Progress in Mathematics, vol. 271, Riemannian Topology and Geometric Structures on Manifolds, 2009

Mathematics

Differential Geometry

Some minor editing made. Invited contribution to "Riemannian Topology and Geometric Structures on Manifolds", Birkh\"auser 200

Scientific paper

A series of examples of toric Sasaki-Einstein 5-manifolds is constructed. These are submanifolds of toric 3-Sasaki 7-manifolds and such a Sasaki-Einstein 5-manifold corresponds uniquely to a toric 3-Sasaki 7-manifold. This produces examples of quasi-regular Sasaki-Einstein structures on every #k(S^2 xS^3), for k odd. Toric geometry is used to construct examples of positive Ricci curvature toric Sasaki structures on non-spin 5-manifolds. Then the join construction is used to construct infinitely many quasi-regular toric Sasaki-Einstein manifolds with arbitrarily high second Betti number in every odd dimesion >3.

Affiliated with

Also associated with

No associations

Rating

Some examples of toric Sasaki-Einstein manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some examples of toric Sasaki-Einstein manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some examples of toric Sasaki-Einstein manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-432934