| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5500004 | Journal of Geometry and Physics | 2017 | 9 Pages |
Abstract
To study the space C of Kähler metrics, we can consider the following two geometric objects. One is the certain complexification Y of the symplectomorphism group, and the other one is a foliation on product Kähler manifold related to the geodesic on C. In this note we study the geometry of Y and show how the properties of the associated foliation (in particular, the holomorphicity) restrict the topology of base Kähler manifold.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Pengfei Huang, Chi Hwu,