<abstract xmlns="http://www.w3.org/1999/xhtml"><p>In the present work, we define new type slant helices called (k,m)-type and we conclude that there are no (1,k) type (1 ≤ k ≤ 4) slant helices. Also we obtain conditions for different type slant helices.</p></abstract>

In the present work, we define new type slant helices called (k,m)-type and we conclude that there are no (1,k) type (1 ≤ k ≤ 4) slant helices. Also we obtain conditions for different type slant helices.

Slant helices of (k, m)-type in 𝔼<sup>4</sup>

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":{"content":"Slant helices of (k, m)-type in 𝔼","sup":4}}

In the present work, we define new type slant helices called (k,m)-type and we conclude that there are no (1,k) type (1 ≤ k ≤ 4) slant helices. Also we obtain...

Slant helices of (k, m)-type in 𝔼⁴

Published Online: Mar 04, 2019

Page range: 395 - 401

Received: Jun 22, 2017

DOI: https://doi.org/10.2478/ausm-2018-0031

Keywords
slant helices, Serret-Frenet frame

© 2018 Münevver Yildirim Yilmaz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Slant helices of (k, m)-type in 𝔼4

Published Online: Mar 04, 2019

Page range: 395 - 401

Received: Jun 22, 2017

DOI: https://doi.org/10.2478/ausm-2018-0031

Keywordsslant helices, Serret-Frenet frame

© 2018 Münevver Yildirim Yilmaz et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Slant helices of (k, m)-type in 𝔼⁴

Keywords
slant helices, Serret-Frenet frame