On a natural algebraic affine connection on the space of almost complex structures and the curvature of teichmüller space with respect to its Weil-Petersson metric
On a natural algebraic affine connection on the space of almost complex structures and the curvature of teichmüller space with respect to its Weil-Petersson metric
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几乎复杂结构空间上的自然代数仿射联系和泰希米勒空间相对于其 Weil-Petersson 度量的曲率
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发表时间：
1986
期刊：
影响因子：
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通讯作者：
A. Tromba
中科院分区：
文献类型：
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作者：
A. Tromba
利用函数上的Laplace-Beltrami算子，导出了Teichmüler空间关于Weil-Petersson度量的截面曲率公式。证明了截面曲率、全纯截面曲率和Ricci曲率都是负的。给出了全纯曲率和Ricci曲率的界。
A formula for the sectional curvature of Teichmüller space with respect to the Weil-Petersson metric is derived in terms of the Laplace-Beltrami operator on functions. It will be shown that the sectional curvature as well as the holomorphic sectional curvature and Ricci curvature are negative. Bounds on the holomorphic and the Ricci curvature are given.