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• W3107786054 abstract "In the present paper, we discuss the singular minimal surfaces in a Euclidean 3-space R^{3} which are minimal. In fact, such a surface is nothing but a plane, a trivial outcome. However, a non-trivial outcome is obtained when we modify the usual condition of singular minimality by using a special semi-symmetric metric connection instead of the Levi-Civita connection on R^{3}. With this new connection, we prove that, besides planes, the singular minimal surfaces which are minimal are the generalized cylinders, providing their explicit equations. A trivial outcome is observed when we use a special semi-symmetric non-metric connection. Furthermore, our discussion is adapted to the Lorentz-Minkowski 3-space." @default.
• W3107786054 created "2020-12-07" @default.
• W3107786054 creator A5011931138 @default.
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• W3107786054 date "2020-11-19" @default.
• W3107786054 modified "2023-09-27" @default.
• W3107786054 title "Singular minimal surfaces which are minimal" @default.
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• W3107786054 hasPublicationYear "2020" @default.
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