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A note on the space of Kähler metrics.
- Source :
-
Journal of Geometry & Physics . Jun2017, Vol. 116, p1-9. 9p. - Publication Year :
- 2017
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03930440
- Volume :
- 116
- Database :
- Academic Search Index
- Journal :
- Journal of Geometry & Physics
- Publication Type :
- Academic Journal
- Accession number :
- 121911363
- Full Text :
- https://doi.org/10.1016/j.geomphys.2017.01.008