Symplectic curvature flow

By Jeffrey Streets, G. Tian. 2010

46 citations recorded by the source corpus.

We introduce a parabolic flow of almost Kahler structures, providing an approach to constructing canonical geometric structures on symplectic manifolds. We exhibit this flow as one of a family of parabolic flows of almost Hermitian structures, generalizing our previous work on parabolic flows of Hermitian metrics. We exhibit a long time existence obstruction for solutions to this flow by showing certain smoothing estimates for the curvature and torsion. We end with a discussion of the limiting objects as well as some open problems related to the symplectic curvature flow.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3b3b130cb424836d5db1d7b9f5ff932bddb1e8be

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Fang Zheng
2. Qingsong Wang
3. Bo Yang
4. Quanting Zhao
5. Xiaokui Yang

In Geometry and Topology

1. Fang Zheng
2. Qingsong Wang
3. Bo Yang
4. Quanting Zhao
5. Xiaokui Yang

Citations in the corpus

• On Bismut flat manifolds (2016, methodology): “As another example, in [35], Streets and Tian used Bismut connection to reinterpret their Hermitian curvature flow ([33], [34]) and exhibited a remarkable relationship to mathematical physics.”