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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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Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map

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Date

2016-05-28

Author

Bektaş, Burcu
Canfes, Elif Özkara
Dursun, Uğur

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Citation

Bektaş, B., Canfes, E. Ö. & Dursun, U. (2016). Pseudo-spherical submanifolds with 1-type pseudo-spherical gauss map. Results in Mathematics, 71(3-4), 867-887. doi:10.1007/s00025-016-0560-9

Abstract

In this work, we study pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify Lorentzian surfaces in a 4-dimensional pseudo-sphere (Formula presented.) with index s, (Formula presented.), and having harmonic pseudo-spherical Gauss map. Then we give a characterization theorem for pseudo-Riemannian submanifolds of a pseudo-sphere (Formula presented.) with 1-type pseudo-spherical Gauss map, and we classify spacelike surfaces and Lorentzian surfaces in the de Sitter space (Formula presented.) with 1-type pseudo-spherical Gauss map. Finally, according to the causal character of the mean curvature vector we obtain the classification of submanifolds of a pseudo-sphere having 1-type pseudo-spherical Gauss map with nonzero constant component in its spectral decomposition.

Source

Results in Mathematics

Volume

71

Issue

3-4

URI

https://hdl.handle.net/11729/1072
http://dx.doi.org/10.1007/s00025-016-0560-9

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]



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