The Chen's first inequality for submanifolds of statistical warped product manifolds

Abstract

The study of warped products plays versatile roles in differential geometry as well as in mathematical physics, especially in general relativity (GR). In the present paper, we study statistical submanifolds in a statistical warped product with some related examples. For such submanifolds, we establish a Chen's first inequality and also discuss the equality case. Finally, we study the statistical warped product immersions and obtain some results.