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Garays Condition of Deformed Cylindrical and Translation Surfaces in E3

Abstract

M. A. Soliman1, H. N. Abd-Ellah1;a, S. A. Hassan1;b and S. Q. Saleh1;c

The motivation of the present work is to develop the niteness property in our work [1, 2, 3, 4] by using Garay's
condition [5]. The mean curvature ow and the niteness property of the cylindrical surfaces in E3 are investigated.
Additionally, the linear deformation of such surfaces is studied. Finally, the translation surfaces are discussed.<

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