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Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 4

Half-lightlike submanifolds with planar normal sections in R24

Feyza Esra ERDOĞAN
Rıfat GÜNEŞ
Bayram ŞAHİN
Sayfa
764–777
Yayın Tarihi
2014-05-16
DOI
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We obtain necessary and sufficient conditions for a half-lightlike submanifold of R24 such that it has degenerate or nondegenerate planar normal sections.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We investigate half-lightlike submanifolds with planar normal sections of 4-dimensional pseudo-Euclidean space.
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Temel Bulgular & Veri:We investigate half-lightlike submanifolds with planar normal sections of 4-dimensional pseudo-Euclidean space.
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Sonuç & Katkı:We obtain necessary and sufficient conditions for a half-lightlike submanifold of R24 such that it has degenerate or nondegenerate planar normal sections.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Half-lightlike submanifold · planar normal sections · Half-lightlike submanifold

Özet

We investigate half-lightlike submanifolds with planar normal sections of 4-dimensional pseudo-Euclidean space. We obtain necessary and sufficient conditions for a half-lightlike submanifold of R24 such that it has degenerate or nondegenerate planar normal sections.

Abstract

We investigate half-lightlike submanifolds with planar normal sections of 4-dimensional pseudo-Euclidean space. We obtain necessary and sufficient conditions for a half-lightlike submanifold of R24 such that it has degenerate or nondegenerate planar normal sections.

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Bu Makaleye Atıf Yap

ERDOĞAN, F. E., GÜNEŞ, R., ŞAHİN, B. (2014). Half-lightlike submanifolds with planar normal sections in R24. Turkish Journal of Mathematics, Cilt: 38 - Sayı: 4, 764–777. https://ajindex.com/articles/185736

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Kaynakça (7)

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  3. Duggal, K.L., Sahin B.: Differential Geometry of Lightlike Submanifolds. Birkhauser. Springer 2010.
  4. Kim, Y.H.: Surfaces in a pseudo-Euclidean Space with planar normal sections. J. Geom. 35, 120–131 (1989).
  5. Kim, Y.H.: Minimal surfaces of pseudo-Euclidean spaces with geodesic normal sections. Differential Geom. Appl. 5, 321–329 (1995).
  6. Kim, Y.H.: Pseudo-Riemannian submanifolds with pointwise planar normal sections. Math. J. Okayama Univ. 34, 249–257 (1992).
  7. Li, S.J.: Submanifolds with pointwise planar normal sections in a sphere. J. Geom. 70, 101–107 (2001).