Curves in Lightlike Planes in Three-Dimensional Lorentz–Minkowski Space-Reference-Cited by-同舟云学术

Curves in Lightlike Planes in Three-Dimensional Lorentz–Minkowski Space

Published:2023-12-06 Issue:24 Volume:11 Page:4880
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Filipan Ivana¹^ORCID,Milin Šipuš Željka²^ORCID,Primorac Gajčić Ljiljana³^ORCID

Affiliation:

1. Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, 10000 Zagreb, Croatia

2. Department of Mathematics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia

3. School of Applied Mathematics and Computer Science, University of Osijek, 31000 Osijek, Croatia

Abstract

In this paper, we analyze the intrinsic geometry of lightlike planes in the three-dimensional Lorentz–Minkowski space M3. We connect the theory of curves lying in lightlike planes in M3 with the theory of curves in the simply isotropic plane I2. Based on these relations, we characterize some special classes of curves that lie in lightlike planes in M3.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/24/4880/pdf

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4. Duggal, K.L., and Sahin, B. (2010). Differential Geometry of Lightlike Submanifolds, Birkhäuser.

5. New results concerning Cartan null and pseudo null curves in Minkowski 3-space;Camci;J. Geom.,2023