Geodesic
Invariant submanifolds of hyperbolic Sasakian manifolds and η-Ricci-bourguignon solitons
Filomat, Tome 36 (2022) no. 2, p. 409

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DOI

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 η-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
DOI : 10.2298/FIL2202409C
Classification : 53C15, 53C30, 53C40, 53C50
Keywords: Hyperbolic Sasakian manifolds, invariant and totally geodesic submanifolds, minimal submanifolds, concircular vector field, Ricci-Bourguignon flows, η-Ricci-Bourguignon solitons 
Sudhakar K Chaubey; M Danish Siddiqi; D G Prakasha. Invariant submanifolds of hyperbolic Sasakian manifolds and η-Ricci-bourguignon solitons. Filomat, Tome 36 (2022) no. 2, p. 409 . doi: 10.2298/FIL2202409C
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     title = {Invariant submanifolds of hyperbolic {Sasakian} manifolds and {\ensuremath{\eta}-Ricci-bourguignon} solitons},
     journal = {Filomat},
     pages = {409 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202409C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202409C/}
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