Surface family mate with Bertrand mate as mutual curvature lines in Galilean 3-space G3

Maryam T. Aldossary

doi:10.18576/amis/180417

Surface family mate with Bertrand mate as mutual curvature lines in Galilean 3-space G₃

Maryam T. Aldossary^*

^*Corresponding author for this work

Mathematics Department

Research output: Contribution to journal › Article › peer-review

Abstract

The paper is an attempt to resolute the surface family mate (SFM) with a Bertrand mate (BM) as mutual curvature lines in Galilean 3-space G₃. The SFM with the symmetry of BM can be specified as linear combinations of the components of the Serret–Frenet frames in G₃. With these parametric representations, we resolved the indispensable and enough events for the specified BM to be the curvature lines on these surfaces. Afterword, the conclusion to ruled surface (RS) is also gained.

Original language	English
Pages (from-to)	885-893
Number of pages	9
Journal	Applied Mathematics and Information Sciences
Volume	18
Issue number	4
DOIs	https://doi.org/10.18576/amis/180417
State	Published - 2024

Keywords

Bertrand mate
Isotropic normal
marching-scale functions

Access to Document

10.18576/amis/180417

Cite this

@article{abb59584c0074fa385a7d88cb8f848cc,

title = "Surface family mate with Bertrand mate as mutual curvature lines in Galilean 3-space G3",

abstract = "The paper is an attempt to resolute the surface family mate (SFM) with a Bertrand mate (BM) as mutual curvature lines in Galilean 3-space G3. The SFM with the symmetry of BM can be specified as linear combinations of the components of the Serret–Frenet frames in G3. With these parametric representations, we resolved the indispensable and enough events for the specified BM to be the curvature lines on these surfaces. Afterword, the conclusion to ruled surface (RS) is also gained.",

keywords = "Bertrand mate, Isotropic normal, marching-scale functions",

author = "Aldossary, \{Maryam T.\}",

note = "Publisher Copyright: {\textcopyright} 2024 NSP Natural Sciences Publishing Cor.",

year = "2024",

doi = "10.18576/amis/180417",

language = "English",

volume = "18",

pages = "885--893",

journal = "Applied Mathematics and Information Sciences",

issn = "1935-0090",

number = "4",

}

TY - JOUR

T1 - Surface family mate with Bertrand mate as mutual curvature lines in Galilean 3-space G3

AU - Aldossary, Maryam T.

PY - 2024

Y1 - 2024

N2 - The paper is an attempt to resolute the surface family mate (SFM) with a Bertrand mate (BM) as mutual curvature lines in Galilean 3-space G3. The SFM with the symmetry of BM can be specified as linear combinations of the components of the Serret–Frenet frames in G3. With these parametric representations, we resolved the indispensable and enough events for the specified BM to be the curvature lines on these surfaces. Afterword, the conclusion to ruled surface (RS) is also gained.

AB - The paper is an attempt to resolute the surface family mate (SFM) with a Bertrand mate (BM) as mutual curvature lines in Galilean 3-space G3. The SFM with the symmetry of BM can be specified as linear combinations of the components of the Serret–Frenet frames in G3. With these parametric representations, we resolved the indispensable and enough events for the specified BM to be the curvature lines on these surfaces. Afterword, the conclusion to ruled surface (RS) is also gained.

KW - Bertrand mate

KW - Isotropic normal

KW - marching-scale functions

UR - https://www.scopus.com/pages/publications/105026213491

U2 - 10.18576/amis/180417

DO - 10.18576/amis/180417

M3 - Article

AN - SCOPUS:105026213491

SN - 1935-0090

VL - 18

SP - 885

EP - 893

JO - Applied Mathematics and Information Sciences

JF - Applied Mathematics and Information Sciences

IS - 4

ER -

Surface family mate with Bertrand mate as mutual curvature lines in Galilean 3-space G₃

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this