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Entire Solutions of the Allen-Cahn Equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3
Allen-Cahn Equation Embedded Minimal Surfaces Finite Total Curvature in R3
2015/4/3
Entire Solutions of the Allen-Cahn Equation and Complete Embedded Minimal Surfaces of Finite Total Curvature in R3.
We consider immersions of a Riemann surface into a manifold with $G_2$-holonomy and give criteria for them to be conformal and harmonic, in terms of an associated Gauss map
On minimal surfaces of axially symmetric planal Riemannian metrics in 3-space
Riemannian metrics Minimal surfaces
2010/9/17
In last, we characterise that, the only riemannian metrics which have a constant determinant on Bμ,ξ and which admit all the planes as minimal surfaces are Heisenberg’s metrics.