Open AccessInvariant submanifolds of hyperbolic Sasakian manifolds and η-Ricci-Bourguignon solitons
Author(s) -
Sudhakar K. Chaubey,
Danish Siddiqi,
D. G. Prakasha
Publication year - 2022
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/fil2202409c
Subject(s) - submanifold , mathematics , invariant (physics) , hyperbolic manifold , hyperbolic 3 manifold , pure mathematics , mathematical analysis , totally geodesic , manifold (fluid mechanics) , stable manifold , relatively hyperbolic group , hyperbolic function , mathematical physics , mechanical engineering , engineering
We set the goal to study the properties of invariant submanifolds of the hyperbolic Sasakian manifolds. It is proven that a three-dimensional submanifold of a hyperbolic Sasakian manifold is totally geodesic if and only if it is invariant. Also, we discuss the properties of ?-Ricci-Bourguignon solitons on invariant submanifolds of the hyperbolic Sasakian manifolds. Finally, we construct a non-trivial example of a three-dimensional invariant submanifold of five-dimensional hyperbolic Sasakian manifold and validate some of our results.