Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space G(3)


KİŞİ İ. , Ozturk G.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.16, 2019 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 16 Konu: 12
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1142/s021988781950186x
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Özet

In this study, we handle the spherical product surface in Galilean 3-space G(3). We calculate the Laplacian operator of the Gauss map of this surface. Then we give the necessary and sufficient conditions for spherical product surface to have harmonic Gauss map and we give a visualization of this type surface in G(3). Furthermore, we make a classification of spherical product surface having pointwise 1-type Gauss map in G(3). Lastly, we visualized this type spherical product surface of the first kind in G(3).