On surfaces endowed with a canonical principal direction in Euclidean 4-spaces

Alev Kelleci; Nurettin Cenk Turgay; Mahmut Ergüt

doi:10.3906/mat-1808-90

On surfaces endowed with a canonical principal direction in Euclidean 4-spaces

Alev Kelleci^*, Nurettin Cenk Turgay, Mahmut Ergüt

^*Corresponding author for this work

Department of Mathematics Engineering

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

Abstract

In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.

Original language	English
Pages (from-to)	1867-1877
Number of pages	11
Journal	Turkish Journal of Mathematics
Volume	43
Issue number	4
DOIs	https://doi.org/10.3906/mat-1808-90
Publication status	Published - 2019

Bibliographical note

Publisher Copyright:
© 2019 TÜBITAK.

Funding

This paper is a part of the PhD thesis of the first author, who was supported by the Scientific and Technological Research Council of Turkey (TÜBİTAK) as a PhD scholar. The authors would like to express their sincere gratitude to the referees for their valuable suggestions.

Funders	Funder number
TÜBİTAK
Türkiye Bilimsel ve Teknolojik Araştirma Kurumu

Keywords

Angle function
Canonical principal direction
Euclidean spaces

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10.3906/mat-1808-90

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title = "On surfaces endowed with a canonical principal direction in Euclidean 4-spaces",

abstract = "In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.",

keywords = "Angle function, Canonical principal direction, Euclidean spaces",

author = "Alev Kelleci and Turgay, {Nurettin Cenk} and Mahmut Erg{\"u}t",

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AU - Kelleci, Alev

AU - Turgay, Nurettin Cenk

AU - Ergüt, Mahmut

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Y1 - 2019

N2 - In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.

AB - In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.

KW - Angle function

KW - Canonical principal direction

KW - Euclidean spaces

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U2 - 10.3906/mat-1808-90

DO - 10.3906/mat-1808-90

M3 - Article

AN - SCOPUS:85070492184

SN - 1300-0098

VL - 43

SP - 1867

EP - 1877

JO - Turkish Journal of Mathematics

JF - Turkish Journal of Mathematics

IS - 4

ER -

On surfaces endowed with a canonical principal direction in Euclidean 4-spaces

Abstract

Bibliographical note

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Keywords

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