The curvature of minimal surfaces in singular spaces
The curvature of minimal surfaces in singular spaces
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DOI：
10.4310/cag.2001.v9.n1.a1
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发表时间：
2001
影响因子：
0.7
通讯作者：
Chikako Mese
中科院分区：
文献类型：
--
作者：
Chikako Mese
where KΣ is the Gauss curvature of the surface and KM is the sectional curvature of the tangent plane to the surface in the manifold. This shows that the curvature of a minimal surface is less than or equal to that of the ambient space. In this paper, we will show that this fundamental curvature property of minimal surfaces also holds in certain singular spaces. When a smooth surface Σ has a conformal metric with conformal factor λ, it is well known that the Gaussian curvature KΣ is given by the formula KΣ = − 1 2λ 4 log λ.
