Abstract
This study, develops a way for representation of canal surfaces in 4-dimensional Euclidean space E4 . It examines the fundamental forms, Gaussian and mean curvature for a special type canal surface. Moreover, the conditions of both Weingarten and linear Weingarten canal surfaces are given for this new special type. Finally, the graphs of the projections of the canal surfaces using different radius functions in E4 are presented.
Keywords
Gaussian curvature
Surface (topology)
Representation (politics)
Mathematics
Radius of curvature
Curvature
Type (biology)
Euclidean space
RADIUS
Geometry
Mean curvature
Mathematical analysis
Computer science
Geology
Mean curvature flow
Subject Areas
Advanced Numerical Analysis Techniques
·Computational Mechanics ·Physical Sciences
Computational Geometry and Mesh Generation
·Computer Graphics and Computer-Aided Design ·Physical Sciences
Surface Roughness and Optical Measurements
·Computational Mechanics ·Physical Sciences
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