The Kähler metric with cone singularities has been the main subject which is being studied recently. In this expository note, we focus on the modular space of the Kähler metric with cone singularities. We first summary our work on the construction of the geodesic of the cone singularities. Then we apply the cone geodesic to obtain a uniqueness theorem of the constant scalar curvature Kähler metrics with cone singularities.
CITATION STYLE
Zheng, K. (2015). Kähler metrics with cone singularities and uniqueness problem. In Trends in Mathematics (Vol. 2, pp. 395–408). Springer International Publishing. https://doi.org/10.1007/978-3-319-12577-0_44
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