The Curvature of Minimal Surfaces in Singular Spaces

  title={The Curvature of Minimal Surfaces in Singular Spaces},
  author={Chikako Mese},
  • Chikako Mese
  • Published 2001
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… CONTINUE READING

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