Abstract

In this article, we discuss the curvature properties of statistical submanifolds in cosymplectic statistical manifolds with constant curvature. We also establish some pinching results for such submanifolds and hypersurfaces in cosymplectic statistical manifolds having constant curvature. As an application of the main result we also obtain an obstruction condition for such immersion.

Keywords: Chen-Ricci inequality; dual connections; statistical manifolds; cosymplectic statistical manifolds.

MSC: 53B05, 53B20, 53C40

DOI: 10.57016/MV-wvf08x70

Pages:  106--117     

Volume  75 ,  Issue  2 ,  2023