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Characterization of warped product submanifolds of Lorentzian concircular structure manifolds

Shyamal Kumar Hui|Tanumoy Pal|Laurian Ioan Piscoran
대한수학회 (The Korean Mathematical Society)|2019.10|대한수학회논문집 (Communications of the KMS)|제34권 제4호|pp. 1303-1313|DOI 10.4134/CKMS.c180390

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참고문헌

키워드

$(LCS)_n$-manifoldCR-submanifoldpseudo slant submanifoldbi-slant submanifoldwarped product submanifold
주제분류수학

초록

Recently Hui et al.~(\cite{HAP,HAN}) studied contact CR-warped product submanifolds and also warped product pseudo-slant submanifolds of a $(LCS)_n$-manifold $\overline{M}$. The characterization for both these classes of warped product submanifolds have been studied here. It is also shown that there do not exists any proper warped product bi-slant submanifold of a $(LCS)_n$-manifold. Although the existence of a bi-slant submanifold of $(LCS)_n$-manifold is ensured by an example.

Abstract

Recently Hui et al.~(\cite{HAP,HAN}) studied contact CR-warped product submanifolds and also warped product pseudo-slant submanifolds of a $(LCS)_n$-manifold $\overline{M}$. The characterization for both these classes of warped product submanifolds have been studied here. It is also shown that there do not exists any proper warped product bi-slant submanifold of a $(LCS)_n$-manifold. Although the existence of a bi-slant submanifold of $(LCS)_n$-manifold is ensured by an example.

참고문헌 (22)

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