Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space 𝔾3-Reference-Cited by-同舟云学术

Spherical product surface having pointwise 1-type Gauss map in Galilean 3-space 𝔾3

Published:2019-11-12 Issue:12 Volume:16 Page:1950186
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Kiṣi İlim¹,Öztürk Günay²

Affiliation:

1. Department of Mathematics, Kocaeli University, Kocaeli, Turkey

2. Department of Mathematics, İzmir Demokrasi University, İzmir, Turkey

Abstract

In this study, we handle the spherical product surface in Galilean [Formula: see text]-space [Formula: see text]. 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 [Formula: see text]. Furthermore, we make a classification of spherical product surface having pointwise 1-type Gauss map in [Formula: see text]. Lastly, we visualized this type spherical product surface of the first kind in [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021988781950186X

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1. TENSOR PRODUCT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

2. Vranceanu surface in % MathType!MTEF!2!1!+- % feaagaart1ev2aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC % vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz % ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb % L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe % pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam % aaeaqbaaGcbaWefv3ySLgznfgDOjdarCqr1ngBPrginfgDObcv39ga % iyaacqWFecFrdaahaaWcbeqaaGqaaiab+rda0aaaaaa!47D0! $$ \mathbb{E}^4 $$ with pointwise 1- type Gauss map

3. MERIDIAN SURFACES IN 𝔼4WITH POINTWISE 1-TYPE GAUSS MAP

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1. Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map;International Electronic Journal of Geometry;2023-04-30