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Isometric Deformation of (m,n)-Type Helicoidal Surface in the Three Dimensional Euclidean Space
2018
Mathematics
Preserved Fulltext
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 ) .
doi:10.3390/math6110226
fatcat:2cxx4uzskjhtjla2sbgd7fvtyq