Special Legendrian submanifolds in toric Sasaki-Einstein manifolds

Details Special Legendrian submanifolds in toric Sasaki-Einstein manifolds Special Legendrian submanifolds in toric Sasaki-Einstein manifolds

2012-01-05

arxiv.org/abs/1201.1080v1

Mathematics

Differential Geometry

22 pages

Scientific paper

We show that every toric Sasaki-Einstein manifold $S$ admits a special Legendrian submanifold $L$ which arises as the link ${\rm fix}(\tau)\cap S$ of the fixed point set ${\rm fix}(\tau)$ of an anti-holomorphic involution $\tau$ on the cone $C(S)$. In particular, an irregular toric Sasaki-Einstein manifold $S^{2}\times S^{3}$ has a special Legendrian torus $S^{1}\times S^{1}$. Moreover, we also obtain a special Legendrian submanifold in $\sharp m(S^{2}\times S^{3})$ for each $m\ge 1$.

Affiliated with

Also associated with

No associations

Rating

Special Legendrian submanifolds in 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 Special Legendrian submanifolds in toric Sasaki-Einstein manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Special Legendrian submanifolds in toric Sasaki-Einstein manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-609338