Abstract:
In this article, the translation hypersurfaces in Euclidean 4space are defined as the sum of three curves with distinct parameters with unit speed, and non-planar. These curves are called the generator curves of the hypersurface. Utilizing the hypersurface theory in Euclidean 4-space, unit normal vector field, shape (Weingarten) operator matrix, fundamental forms, Gaussian curvature and mean curvature have been expressed for the translation hypersurfaces. Finally, the computational example is stated to efficiency of the theoretical results.
Page(s):
702-711
DOI:
DOI not available
Published:
Journal: Punjab University Journal of Mathematics, Volume: 54, Issue: 12, Year: 2022
Keywords:
Translation hypersurface
,
fundamental
,
Euclidean 4space
,
shape operator