Seminar
| Parent Program: | -- |
|---|---|
| Location: | SLMath: Eisenbud Auditorium |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
Sasakian manifolds are special type of metric contact manifold, which can be considered to be odd dimensional analogues of K ̈ahler manifolds. Just as in K ̈ahler geometry one can define a Sasaki-extremal metric to be a critical point of the Calabi functional. In particular, constant scalar curvature Sasakian metrics are Sasaki-extremal.
We will discuss a proof that a Sasaki-extremal metric with a fixed Reeb foliation, with its transversally holomorphic structure, is unique up to diffeo-morphisms preserving the Reeb foliation with its holomorphic structure. This involves proving that the K-energy is convex along weak geodesics in the space of metrics.
These results are contained in the preprint arXiv:1511.09167.
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