On extended generalized -recurrent (LCS)2n+1-manifolds

Sunil Kumar Yadav; Daya Lal Suthar; Mebrahtu Hailu

doi:10.5269/bspm.v37i2.32075

Sunil Kumar Yadav Poornima College of Engineering Department of Mathematics
Daya Lal Suthar Wollo University Department of Mathematics
Mebrahtu Hailu Wollo University Department of Mathematics

DOI: https://doi.org/10.5269/bspm.v37i2.32075

Keywords: Generalized recurrent (LCS)2n 1-manifold, generalized -recurrent (LCS)2n 1- manifold, extended generalized -recurrent (LCS)2n 1-manifold and concircular curvature tensor

Abstract

We introduce the notion of extended generalized -recurrent (LCS)2n+1-manifolds and study its various geometric properties with example. Finally, we construct an example of 3-dimensional extended generalized -recurrent (LCS)2n+1-manifold which is neither -recurrent nor generalized -recurrent.

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Author Biographies

Sunil Kumar Yadav, Poornima College of Engineering Department of Mathematics

Dausa-330330,Rajasthan

Mebrahtu Hailu, Wollo University Department of Mathematics

P.O.: 1145, Dessie, South Wollo, Amhara