Surfaces as Graphs of Finite Type in H2 × R

In this paper, we prove that ∆X = 2H where ∆ is the Laplacian operator, r = (x, y, z) the position vector field and H is the mean curvature vector field of a surface S in H2 × R and we study surfaces as graphs in H2 × R which has finite type immersion.

Bibliographic Details
Main Authors: Ahmed Azzi, Zoubir Hanifi, Mohammed Bekkar
Format: Article
Language:English
Published: Etamaths Publishing 2020-06-01
Series:International Journal of Analysis and Applications
Online Access:http://etamaths.com/index.php/ijaa/article/view/2194