Open AccessOn submanifolds of Sasakian statistical manifolds
Author(s) -
Mohammad Bagher Kazemi Balgeshir
Publication year - 2022
Publication title -
boletim da sociedade paranaense de matemática
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.347
H-Index - 15
eISSN - 2175-1188
pISSN - 0037-8712
DOI - 10.5269/bspm.42402
Subject(s) - invariant (physics) , pure mathematics , mathematics , connection (principal bundle) , mathematical analysis , geometry , mathematical physics
In this paper, invariant and anti-invariant submanifolds of Sasakian statistical manifolds are studied. Necessary and sufficient conditions are given for vanishing the dual connection in the normal bundle. Moreover, existence of a Kaehlerian structure on invariant hypersurfaces of Sasakian statistical manifolds are proved.