Open AccessOptimal inequalities for submanifolds in statistical manifolds of quasi constant curvature
Author(s) -
Pooja Bansal,
Siraj Uddin,
Mohammad Hasan Shahid
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2110319b
Subject(s) - mathematics , submanifold , scalar curvature , constant (computer programming) , curvature , constant curvature , manifold (fluid mechanics) , pure mathematics , mean curvature , statistical manifold , mathematical analysis , geometry , information geometry , mechanical engineering , computer science , engineering , programming language
In this paper, we establish B.-Y. Chen?s optimal inequalities for statistical submanifolds involving Casorati curvature and the normalized scalar curavture in a statistical manifold of quasi constant curvature. The equality cases of these inequalities are also considered. Further, we provide some applications of our results. Moreover, as a new example we construct minimal statistical surface (statistical submanifold) of a statistical manifold of quasi constant curvature.