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math.DG2014
Class, degree and integral free forms for the family of Bour's minimal surfaces
Erhan Güler
We consider the family of the Bour's minimal surfaces in Euclidean 3-space, and compute their classes, degrees and integral free representations.
math.DG2014
A new kind of helicoidal surface of value m
Erhan Guler
We define a new kind of helicoidal surface of value m. A rotational surface which is isometric to the helicoidal surface of value m is revealed. In addition, we calculate some diff…
math.DG2014★ 1 cited
Bour's spacelike maximal and timelike minimal surfaces in the 3-dimensional Minkowski space
Erhan Guler
Bour's minimal surface has remarkable properties in three dimensional Minkowski space. We reveal the definite and indefinite cases of the Bour's surface using Weierstrass represent…