Some important properties of invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space

Pakize Uygun; Mehmet Atçeken; Tuğba Mert

doi:10.56947/amcs.v21.242

Authors

Pakize Uygun Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, Turkey
Mehmet Atçeken Department of Mathematics, Faculty of Arts and Sciences, Aksaray University, Turkey
Tuğba Mert Department of Mathematics, Faculty of Sciences, Sivas Cumhuriyet University, Turkey

DOI:

https://doi.org/10.56947/amcs.v21.242

Keywords:

alpha-cosymplectic (k, mu, nu )-space, W_1-curvature tensor, W_8-curvature tensor

Abstract

The object of the paper is to investigate invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space. Then we have proved that the necessary and sufficient conditions for an invariant submanifold of an almost alpha-cosymplectic (k, mu, nu )-space to be totally geodesic under the some conditions. Consequently, we have obtained some interesting results invariant submanifolds of an almost alpha-cosymplectic (k, mu, nu )-space.