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

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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… Click to show full 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: three dimensional; dimensional euclidean; surface; euclidean space; helicoidal surface

Journal Title: Mathematics
Year Published: 2018

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