On Generalized Constant Ratio Surfaces of Higher Codimension

Alev Kelleci; Nurettin Cenk Turgay; Mahmut Ergüt

doi:10.1007/s00009-019-1376-0

On Generalized Constant Ratio Surfaces of Higher Codimension

Alev Kelleci^*, Nurettin Cenk Turgay, Mahmut Ergüt

^*Corresponding author for this work

Department of Mathematics Engineering

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

1 Citation (Scopus)

Abstract

In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E⁴. Then, we get complete local classification of CS surfaces in E⁴. We also study GCR surfaces in terms of some of its geometrical invariants.

Original language	English
Article number	95
Journal	Mediterranean Journal of Mathematics
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/s00009-019-1376-0
Publication status	Published - 1 Aug 2019

Bibliographical note

Publisher Copyright:
© 2019, Springer Nature Switzerland AG.

Keywords

Euclidean spaces
canonical principal direction
constant slope surfaces
generalized constant ratio submanifolds
position vector

Access to Document

10.1007/s00009-019-1376-0

Cite this

@article{59d05411311c47d4bca9e121f1a2133d,

title = "On Generalized Constant Ratio Surfaces of Higher Codimension",

abstract = "In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. Then, we get complete local classification of CS surfaces in E4. We also study GCR surfaces in terms of some of its geometrical invariants.",

keywords = "Euclidean spaces, canonical principal direction, constant slope surfaces, generalized constant ratio submanifolds, position vector",

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

note = "Publisher Copyright: {\textcopyright} 2019, Springer Nature Switzerland AG.",

year = "2019",

month = aug,

day = "1",

doi = "10.1007/s00009-019-1376-0",

language = "English",

volume = "16",

journal = "Mediterranean Journal of Mathematics",

issn = "1660-5446",

publisher = "Birkhauser Verlag Basel",

number = "4",

}

TY - JOUR

T1 - On Generalized Constant Ratio Surfaces of Higher Codimension

AU - Kelleci, Alev

AU - Turgay, Nurettin Cenk

AU - Ergüt, Mahmut

PY - 2019/8/1

Y1 - 2019/8/1

N2 - In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. Then, we get complete local classification of CS surfaces in E4. We also study GCR surfaces in terms of some of its geometrical invariants.

AB - In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. Then, we get complete local classification of CS surfaces in E4. We also study GCR surfaces in terms of some of its geometrical invariants.

KW - Euclidean spaces

KW - canonical principal direction

KW - constant slope surfaces

KW - generalized constant ratio submanifolds

KW - position vector

UR - http://www.scopus.com/inward/record.url?scp=85067839729&partnerID=8YFLogxK

U2 - 10.1007/s00009-019-1376-0

DO - 10.1007/s00009-019-1376-0

M3 - Article

AN - SCOPUS:85067839729

SN - 1660-5446

VL - 16

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 4

M1 - 95

ER -

On Generalized Constant Ratio Surfaces of Higher Codimension

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this