• Title/Summary/Keyword: Sasakian manifolds

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NON-EXISTENCE OF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE TRANS-SASAKIAN MANIFOLDS WITH NON-METRIC 𝜃-CONNECTIONS

  • Jin, Dae Ho
    • Communications of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.35-43
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    • 2015

  • We study two types of 1-lightlike submanifolds, so-called lightlike hypersurface and half lightlike submanifold, of an indefinite trans-Sasakian manifold $\bar{M}$ admitting non-metric ${\theta}$-connection. We prove that there exist no such two types of 1-lightlike submanifolds of an indefinite trans-Sasakian manifold $\bar{M}$ admitting non-metric ${\theta}$-connections.

  • https://doi.org/10.4134/CKMS.2015.30.1.035 인용 PDF KSCI

Sasakian manifolds with cyclic-parallel ricci tensor

  • Lee, Sung-Baik;Kim, Nam-Gil;Han, Seung-Gook;Ahn, Seong-Soo
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.243-251
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    • 1996

  • In a Sasakian manifold, a C-Bochner curvature tensor is constructed from the Bochner curvature tensor in a Kaehlefian manifold by the fibering of Boothby-wang[2]. Many subjects for vanishing C-Bocher curvature tensor with constant scalar curvature were studied in [3], [6], [7], [9], [10], [11] and so on.

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Screen Slant Lightlike Submanifolds of Indefinite Sasakian Manifolds

  • Haider, S.M. Khursheed;Advin, Advin;Thakur, Mamta
    • Kyungpook Mathematical Journal
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    • v.52 no.4
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    • pp.443-457
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    • 2012

  • In this paper, we introduce screen slant lightlike submanifold of an indefinite Sasakian manifold and give examples. We prove a characterization theorem for the existence of screen slant lightlike submanifolds. We also obtain integrability conditions of both screen and radical distributions, prove characterization theorems on the existence of minimal screen slant lightlike submanifolds and give an example of proper minimal screen slant lightlike submanifolds of $R_2^9$.

  • https://doi.org/10.5666/KMJ.2012.52.4.443 인용 PDF KSCI

ON SEMI-INVARIANT SUBMANIFOLDS OF LORENTZIAN ALMOST PARACONTACT MANIFOLDS

  • Tripathi, Mukut-Mani
    • The Pure and Applied Mathematics
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    • v.8 no.1
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    • pp.1-8
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    • 2001

  • Semi-invariant submanifolds of Lorentzian almost paracontact mani-folds are studied. Integrability of certain distributions on the submanifold are in vestigated. It has been proved that a LP-Sasakian manifold does not admit a proper semi-invariant submanifold.

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