Honam Mathematical Journal (호남수학학술지)

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INVARIANT SUBMANIFOLDS OF (LCS)n-MANIFOLDS ADMITTING CERTAIN CONDITIONS

  • Received : 2020.10.20
  • Accepted : 2020.11.17
  • Published : 2020.12.25
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Abstract

The object of the present paper is to study the invariant submanifolds of (LCS)n-manifolds. We study generalized quasi-conformally semi-parallel and 2-semiparallel invariant submanifolds of (LCS)n-manifolds and showed their existence by a non-trivial example. Among other it is shown that an invariant submanifold of a (LCS)n-manifold is totally geodesic if the second fundamental form is any one of (i) symmetric, (ii) recurrent, (iii) pseudo symmetric, (iv) almost pseudo symmetric and (v) weakly pseudo symmetric.

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References

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