Isometric Deformation of ( m, n )-Type Helicoidal Surface in the Three Dimensional Euclidean Space

Erhan Güler
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Erhan Güler: Faculty of Sciences, Department of Mathematics, Bartın University, 74100 Bartın, Turkey

Mathematics, 2018, vol. 6, issue 11, 1-12

Abstract: We consider a new kind of helicoidal surface for natural numbers ( m , n ) in the three-dimensional Euclidean space. We study a helicoidal surface of value ( m , n ) , which is locally isometric to a rotational surface of value ( m , n ) . In addition, we calculate the Laplace–Beltrami operator of the rotational surface of value ( 0 , 1 ) .

Keywords: euclidean three-space; helicoidal surface of value ( m , n ); rotational surface of value ( m , n ); mean curvature; Gaussian curvature; Gauss map (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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