Displaying similar documents to “Locally isometric families of minimal surfaces.”

Ruled W-surfaces in Minkowski 3-space ℜ 1 3

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

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In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set { K , K I I , H , H I I } , where ( K , H ) and ( K I I , H I I ) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.

Ruled W-surfaces in Minkowski 3-space ℜ 1 3

Rashad A. Abdel-Baky, H. N. Abd-Ellah (2008)

Archivum Mathematicum

Similarity:

In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set { K , K I I , H , H I I } , where ( K , H ) and ( K I I , H I I ) are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.

Atomic surfaces, tilings and coincidences II. Reducible case

Hiromi Ei, Shunji Ito, Hui Rao (2006)

Annales de l’institut Fourier

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The atomic surfaces of unimodular Pisot substitutions of irreducible type have been studied by many authors. In this article, we study the atomic surfaces of Pisot substitutions of reducible type. As an analogue of the irreducible case, we define the stepped-surface and the dual substitution over it. Using these notions, we give a simple proof to the fact that atomic surfaces form a self-similar tiling system. We show that the stepped-surface possesses the quasi-periodic...