2022
DOI: 10.3934/math.2023115
|View full text |Cite
|
Sign up to set email alerts
|

The developable surfaces with pointwise 1-type Gauss map of Frenet type framed base curves in Euclidean 3-space

Abstract: <abstract><p>In this study, the ruled developable surfaces with pointwise 1-type Gauss map of Frenet-type framed base (Ftfb) curve are introduced in Euclidean 3-space. The tangent developable surfaces, focal developable surfaces, and rectifying developable surfaces with singular points are considered. Then the conditions for the Gauss map of these surfaces to be pointwise 1-type are obtained separately. In order to form a basis for the study, first, the basic concepts related to the Ftfb curve and … Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
4
1

Citation Types

0
16
0

Year Published

2022
2022
2023
2023

Publication Types

Select...
9

Relationship

1
8

Authors

Journals

citations
Cited by 40 publications
(16 citation statements)
references
References 25 publications
0
16
0
Order By: Relevance
“…In addition, for a special case of the (1,1)-tensor T, on Bianchi classes, some bounds of the the first non-zero eigenvalue are derived under the normalized Ricci flow. To develop this area more in the future, one can consider the techniques of the Singularity theory and Submanifold theory presented in [21][22][23][24][25][26][27][28], and it may find some new and interesting results.…”
Section: Discussionmentioning
confidence: 99%
“…In addition, for a special case of the (1,1)-tensor T, on Bianchi classes, some bounds of the the first non-zero eigenvalue are derived under the normalized Ricci flow. To develop this area more in the future, one can consider the techniques of the Singularity theory and Submanifold theory presented in [21][22][23][24][25][26][27][28], and it may find some new and interesting results.…”
Section: Discussionmentioning
confidence: 99%
“…Using these moving frames, they introduced evolutes of spacelike and timelike fronts. For some recent studies on frontals and singularities, see previous works [6,[18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33].…”
Section: Introductionmentioning
confidence: 99%
“…They defined a smooth surface with a moving frame as the framed surface and gave criteria for singular points of the framed surface. Using this powerful tool, some researchers have studied the singular properties of different singular surfaces in recent years [12][13][14][15].…”
Section: Introductionmentioning
confidence: 99%