(T,L)-type rotational surface in three dimensional Lorentz-Minkowski space
We study the third Laplace-Beltrami operator of timelike rotational surface of (T,L)-type in three dimensional Lorentz-Minkowski space.
math.DG↗
arXiv subjects
Erhan Guler
Publications and source records attributed to Erhan Guler.
Algebraic surfaces of the Laplace-Beltrami operators of the TF-type surfaces
We study on a new kind of surface covered by translation and factorable (TF-type) surfaces in the three dimensional Euclidean space. We consider I and III Laplace-Beltrami operator surfaces of a TF-type surface. Then we obtain degrees and classes of algebraic surfaces of the surfaces using eliminate methods on software programme.
math.DG↗
Bour's spacelike maximal and timelike minimal surfaces in the 3-dimensional Minkowski space
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 representations, and give some differential geometric properties of the astonishing maximal and minimal surfaces.
math.DG↗
A new kind of helicoidal surface of value m
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 differential geometric properties of the helicoidal surface of value 3 in three dimensional Euclidean space.
math.DG↗