Open AccessUpper bounds for Ricci curvatures for submanifolds in Bochner-Kaehler manifolds
Author(s) -
Mehraj Ahmad Lone,
Yoshio Matsuyama,
Falleh R. Al-Solamy,
Mohammad Hasan Shahid,
Mohammed Jamali
Publication year - 2020
Publication title -
tamkang journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.324
H-Index - 18
eISSN - 0049-2930
pISSN - 2073-9826
DOI - 10.5556/j.tkjm.51.2020.2967
Subject(s) - mathematics , ricci curvature , pure mathematics , codimension , norm (philosophy) , mathematical analysis , curvature , geometry , political science , law
Chen established the relationship between the Ricci curvature and the squared norm of meancurvature vector for submanifolds of Riemannian space form with arbitrary codimension knownas Chen-Ricci inequality. Deng improved the inequality for Lagrangian submanifolds in complexspace form by using algebraic technique. In this paper, we establish the same inequalitiesfor different submanifolds of Bochner-Kaehler manifolds. Moreover, we obtain improvedChen-Ricci inequality for Kaehlerian slant submanifolds of Bochner-Kaehler manifolds.