A New Angular Measurement in Minkowski 3-Space
Open Access
- 2 January 2020
- journal article
- research article
- Published by MDPI AG in Mathematics
- Vol. 8 (1) , 56
Abstract
In Lorentz–Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null curve and the angles between any two non-null vectors in Minkowski 3-space. Meanwhile, the explicit measuring methods are demonstrated through several examples.Keywords
Funding Information
- National Natural Science Foundation of China (11801065)
- National Research Foundation of Korea (2016R1A2B1006974)
This publication has 8 references indexed in Scilit:
- On k-type pseudo null Darboux helices in Minkowski 3-spaceJournal of Mathematical Analysis and Applications, 2016
- DIRECTIONAL ASSOCIATED CURVES OF A NULL CURVE IN MINKOWSKI 3-SPACEBulletin of the Korean Mathematical Society, 2015
- Classification of Timelike Constant Slope Surfaces in 3-Dimensional Minkowski SpaceResults in Mathematics, 2012
- Pitch functions of ruled surfaces and B-scrolls in Minkowski 3-spaceJournal of Geometry and Physics, 2012
- Constant angle surfaces in Minkowski spaceBulletin of the Belgian Mathematical Society - Simon Stevin, 2011
- Position vector of a time-like slant helix in Minkowski 3-spaceJournal of Mathematical Analysis and Applications, 2010
- Ruled surfaces with lightlike ruling in 3-Minkowski spaceJournal of Geometry and Physics, 2009
- Codimension one isometric immersions between Lorentz spacesTransactions of the American Mathematical Society, 1979