Geodesic
Invariant submanifolds of (LCS)_n-manifolds with respect to quarter symmetric metric connection
Shyamal Kumar Hui1 ; Laurian-Ioan Piscoran2 ; Tanumoy Pal3 ; Shyamal Kumar Hui ; Laurian-Ioan Piscoran ; Tanumoy Pal
1Department of Mathematics, Bankura University, India
2North University Center of Baia Mare, Technical University of Cluj Napoca, Department of Mathematics and Computer Science, Baia Mare, Romania
3A. M. J. High School, Mankhamar, Bankura – 722144, West Bengal, India
Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 205-221 
Shyamal Kumar Hui; Laurian-Ioan Piscoran; Tanumoy Pal; Shyamal Kumar Hui; Laurian-Ioan Piscoran; Tanumoy Pal. Invariant submanifolds of (LCS)_n-manifolds with respect to quarter symmetric metric connection. Acta mathematica Universitatis Comenianae, Tome 87 (2018) no. 2, pp. 205-221. http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a5/
@article{AMUC_2018_87_2_a5,
     author = {Shyamal Kumar Hui and Laurian-Ioan Piscoran and Tanumoy Pal and Shyamal Kumar Hui and Laurian-Ioan Piscoran and Tanumoy Pal},
     title = { Invariant submanifolds of {(LCS)_n-manifolds} with respect to quarter symmetric metric connection},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {205--221},
     year = {2018},
     volume = {87},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2018_87_2_a5/}
}
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Voir la notice de l'article provenant de la source Comenius University

The object of the present paper is to study invariant submanifolds of (LCS)_n-manifolds with respect to quarter symmetric metric connection. It is shown that the mean curvature of an invariant submanifold of (LCS)_n-manifold with respect to quarter symmetric metric connection and Levi-Civita connection are equal. An example is constructed to illustrate the results of the paper. We also obtain some equivalent conditions of such notion.