论文标题

kähler模量曲率的同时表达

Cohomological expression of the curvature of Kähler moduli

论文作者

Magnússon, Gunnar Þór

论文摘要

紧凑型kähler歧管的kähler锥带有天然的riemannian度量,由其共同体学环的交叉点给出。我们给出了该度量标准的Levi-Civita连接和曲率张量的共同体表达式,并确定何时完成度量。

The Kähler cone of a compact Kähler manifold carries a natural Riemannian metric, given by the intersection product of its cohomology ring. We give cohomological expressions for the Levi-Civita connection and curvature tensor of this metric, and determine when the metric is complete.

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