Singularities of Indefinite Hypersurfaces and Indefinite Surfaces along Timelike Curves in Nullcone with Index Two

المؤلفون المشاركون

Song, Xue
Wang, Zhigang

المصدر

Journal of Function Spaces

العدد

المجلد 2018، العدد 2018 (31 ديسمبر/كانون الأول 2018)، ص ص. 1-18، 18ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2018-06-28

دولة النشر

مصر

عدد الصفحات

18

التخصصات الرئيسية

الرياضيات

الملخص 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.

نمط استشهاد جمعية علماء النفس الأمريكية (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

نمط استشهاد الجمعية الأمريكية للغات الحديثة (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

نمط استشهاد الجمعية الطبية الأمريكية (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

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1186460