# Extension of Krust theorem and deformations of minimal surfaces

@inproceedings{Akamine2021ExtensionOK, title={Extension of Krust theorem and deformations of minimal surfaces}, author={Shintaro Akamine and Hiroki Fujino}, year={2021} }

In the minimal surface theory, the Krust theorem asserts that if a minimal surface in the Euclidean 3-space E is the graph of a function over a convex domain, then each surface of its associated family is also a graph. The same is true for maximal surfaces in the Minkowski 3-space L. In this article, we introduce a new deformation family that continuously connects minimal surfaces in E and maximal surfaces in L, and prove a Krust-type theorem for this deformation family. This result induces…

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