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  •   DSpace@Işık
  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures

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Date

2016-12

Author

Dursun, Uğur
Turgay, Nurettin Cenk

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Citation

Dursun, U. & Turgay, N. C. (2016). Classification of minimal lorentzian surfaces in S2 4 (1) with constant gaussian and normal curvatures. Taiwanese Journal of Mathematics, 20(6), 1295-1311. doi:10.11650/tjm.20.2016.7345

Abstract

In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.

Source

Taiwanese Journal of Mathematics

Volume

20

Issue

6

URI

https://hdl.handle.net/11729/1163
http://dx.doi.org/10.11650/tjm.20.2016.7345

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [916]
  • WoS İndeksli Makale Koleksiyonu [931]



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