Singularities of Indefinite Hypersurfaces and Indefinite Surfaces along Timelike Curves in Nullcone with Index Two
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-28
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
In this paper, a class of indefinite hypersurfaces and a class of indefinite surfaces generated by timelike curves located in nullcone in 4-dimensional semi-Euclidean space with index 2 are discussed.
Using the unfolding theory in singularity theory, the singularities of the indefinite hypersurfaces and the indefinite surfaces are classified and the different kinds of singularities are estimated by means of a geometric invariant σ.
Meanwhile, the definition of osculating nullcone is presented; the study shows that the differential geometric invariant σ of timelike curves measured also the order of the contact between a timelike curve and a osculating nullcone ONCv0⁎.
Finally, some relevant counterexamples are indicated.
American Psychological Association (APA)
Song, Xue& Wang, Zhigang. 2018. Singularities of Indefinite Hypersurfaces and Indefinite Surfaces along Timelike Curves in Nullcone with Index Two. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1186460
Modern Language Association (MLA)
Song, Xue& Wang, Zhigang. Singularities of Indefinite Hypersurfaces and Indefinite Surfaces along Timelike Curves in Nullcone with Index Two. Journal of Function Spaces No. 2018 (2018), pp.1-18.
https://search.emarefa.net/detail/BIM-1186460
American Medical Association (AMA)
Song, Xue& Wang, Zhigang. Singularities of Indefinite Hypersurfaces and Indefinite Surfaces along Timelike Curves in Nullcone with Index Two. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-18.
https://search.emarefa.net/detail/BIM-1186460
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186460