2020
DOI: 10.46939/j.sci.arts-20.4-a09
|View full text |Cite
|
Sign up to set email alerts
|

A Study on the Harmonic Evolute Surfaces of Quasi Binormal Surfaces

Abstract: In this paper, harmonic evolute surface of quasi binormal surface associated with quasi frame is studied. After constructing quasi binormal surface, we determine harmonic evolute surface of quasi binormal surface by using first and second fundamental forms. We then obtain some new results about these new surfaces and give some applications for them.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
1

Citation Types

0
5
0

Year Published

2021
2021
2024
2024

Publication Types

Select...
5

Relationship

0
5

Authors

Journals

citations
Cited by 6 publications
(5 citation statements)
references
References 7 publications
(7 reference statements)
0
5
0
Order By: Relevance
“…In this part, we focus on some geometric background information about metric and frames; especially, the basics of 𝑞-frame can be found in detail [9][10][11][12]. Suppose that and be two vectors in three dimensional Euclidean space endowed with the metric The norm of the vector is given √ and the Euclidean cross product of the vectors and is defined as Let be a space curve with is not zero.…”
Section: Geometric Backgroundmentioning
confidence: 99%
See 1 more Smart Citation
“…In this part, we focus on some geometric background information about metric and frames; especially, the basics of 𝑞-frame can be found in detail [9][10][11][12]. Suppose that and be two vectors in three dimensional Euclidean space endowed with the metric The norm of the vector is given √ and the Euclidean cross product of the vectors and is defined as Let be a space curve with is not zero.…”
Section: Geometric Backgroundmentioning
confidence: 99%
“…Similarly, applying the compatibility condition to the equations and we get the following functions Each of the three cases can be combined to have (12) The velocity vector can be written as…”
mentioning
confidence: 99%
“…Additionally, the Darboux frame features curves in surfaces [10]. Recently, an original frame has been offered along curves lying in surfaces, designated as the Bishop Darboux frame in Euclidean and Lorentzian spaces [11][12][13].…”
Section: Introductionmentioning
confidence: 99%
“…As a result, the normal curvature, geodesic curvature and geodesic torsion of Darboux frame were defined [2]. Using these curvature functions, characterizations of some special curves on a given surface, are investigated in [2][3][4].…”
Section: Introductionmentioning
confidence: 99%