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Dergiler / International Electronic Journal of Geometry / 2023 / Volume: 16 Issue: 2

Lightlike Hypersurfaces of an Indefinite Kaehler Manifold with an $(\ell,\,m)$-type Metric Connection

Dae Ho Jin(Dongguk University)0000-0002-7382-9333
Chul Woo Lee(Kyungpook National University)0000-0003-0223-2318
Jae Won Lee(Gyeongsang National University)0000-0001-8562-0767
Sayfa
—
Yayın Tarihi
2023-10-29
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Our purpose is to investigate lightlike hypersurfaces of an indefinite (complex) Kaehler manifolds with an $(\ell,m)$-type metric connection under the tangent characteristic vector field on such hypersurfaces.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:Jin introduced a non-symmetric metric connection, called an {\it $(\ell,m)$-type metric connection} \cite{Jin1, Jin2}.
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Temel Bulgular & Veri:There are two examples of $(\ell, m)$-type: a semi-symmetric metric connection when ${\ell}=1$ and $m=0$ and a quater-symmetric connection for ${\ell}=0$ and $m=1$ .
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Sonuç & Katkı:Our purpose is to investigate lightlike hypersurfaces of an indefinite (complex) Kaehler manifolds with an $(\ell,m)$-type metric connection under the tangent characteristic vector field on such hypersurfaces.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:$(\ell¸m)$-type metric connection · lightlike hypersurface · indefinite Kaehler manifold

Abstract

Jin introduced a non-symmetric metric connection, called an {\it $(\ell,m)$-type metric connection} \cite{Jin1, Jin2}. There are two examples of $(\ell, m)$-type: a semi-symmetric metric connection when ${\ell}=1$ and $m=0$ and a quater-symmetric connection for ${\ell}=0$ and $m=1$ . Our purpose is to investigate lightlike hypersurfaces of an indefinite (complex) Kaehler manifolds with an $(\ell,m)$-type metric connection under the tangent characteristic vector field on such hypersurfaces.

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Bu Makaleye Atıf Yap

Jin, D. H., Lee, C. W., Lee, J. W. (2023). Lightlike Hypersurfaces of an Indefinite Kaehler Manifold with an $(\ell,\,m)$-type Metric Connection. International Electronic Journal of Geometry, Volume: 16 Issue: 2. https://doi.org/10.36890/iejg.1264249

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Kaynakça (10)

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