Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space

Jinhua Qian, Pei Yin, Xueshan Fu and Hongzeng Wang
Additional contact information
Jinhua Qian: Department of Mathematics, Northeastern University, Shenyang 110004, China
Pei Yin: Department of Mathematics, Northeastern University, Shenyang 110004, China
Xueshan Fu: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Hongzeng Wang: Department of Mathematics, Northeastern University, Shenyang 110004, China

Mathematics, 2021, vol. 9, issue 12, 1-12

Abstract: In this work, the rectifying isotropic curves are investigated in three-dimensional complex space C 3 . The conclusion that an isotropic curve is a rectifying curve if and only if its pseudo curvature is a linear function of its pseudo arc-length is achieved. Meanwhile, the rectifying isotropic curves are expressed by the Bessel functions explicitly. Last but not least, the centrodes of rectifying isotropic curves are explored in detail.

Keywords: complex space; isotropic curve; rectifying curve; structure function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/9/12/1451/pdf (application/pdf)
https://www.mdpi.com/2227-7390/9/12/1451/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:9:y:2021:i:12:p:1451-:d:578883

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().