New vector fields and planes of framed curves in Euclidean 4-space

Önder Gökmen Yıldız; Fatma Balkan

New vector fields and planes of framed curves in Euclidean 4-space

Abstract

In this study, we define new Darboux vectors for curves with singular points in Euclidean 4-space. By using these vectors, we construct new planes and determine curves lying in these planes. Subsequently, we give characterizations and corollaries related to these curves.

Keywords

References

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Details

Primary Language

English

Subjects

Algebraic and Differential Geometry

Journal Section

Research Article

Authors

Önder Gökmen Yıldız ^*
0000-0002-2760-1223
Türkiye

Fatma Balkan
0009-0004-8932-4251
Türkiye

Publication Date

November 28, 2025

Submission Date

July 7, 2025

Acceptance Date

August 7, 2025

Published in Issue

Year 2025 Volume: 1 Number: 1

IZ

https://izlik.org/JA49DN25LX

Cite

RIS / Bibtex

APA

Yıldız, Ö. G., & Balkan, F. (2025). New vector fields and planes of framed curves in Euclidean 4-space. Düzce Mathematical Research, 1(1), 34-40. https://izlik.org/JA49DN25LX

AMA

1.Yıldız ÖG, Balkan F. New vector fields and planes of framed curves in Euclidean 4-space. Düzce Mathematical Research. 2025;1(1):34-40. https://izlik.org/JA49DN25LX

Chicago

Yıldız, Önder Gökmen, and Fatma Balkan. 2025. “New Vector Fields and Planes of Framed Curves in Euclidean 4-Space”. Düzce Mathematical Research 1 (1): 34-40. https://izlik.org/JA49DN25LX.

EndNote

Yıldız ÖG, Balkan F (November 1, 2025) New vector fields and planes of framed curves in Euclidean 4-space. Düzce Mathematical Research 1 1 34–40.

IEEE

[1]Ö. G. Yıldız and F. Balkan, “New vector fields and planes of framed curves in Euclidean 4-space”, Düzce Mathematical Research, vol. 1, no. 1, pp. 34–40, Nov. 2025, [Online]. Available: https://izlik.org/JA49DN25LX

ISNAD

Yıldız, Önder Gökmen - Balkan, Fatma. “New Vector Fields and Planes of Framed Curves in Euclidean 4-Space”. Düzce Mathematical Research 1/1 (November 1, 2025): 34-40. https://izlik.org/JA49DN25LX.

JAMA

1.Yıldız ÖG, Balkan F. New vector fields and planes of framed curves in Euclidean 4-space. Düzce Mathematical Research. 2025;1:34–40.

MLA

Yıldız, Önder Gökmen, and Fatma Balkan. “New Vector Fields and Planes of Framed Curves in Euclidean 4-Space”. Düzce Mathematical Research, vol. 1, no. 1, Nov. 2025, pp. 34-40, https://izlik.org/JA49DN25LX.

Vancouver

1.Önder Gökmen Yıldız, Fatma Balkan. New vector fields and planes of framed curves in Euclidean 4-space. Düzce Mathematical Research [Internet]. 2025 Nov. 1;1(1):34-40. Available from: https://izlik.org/JA49DN25LX