Geodesic
Hypersurfaces of trans-s-manifolds
Filomat, Tome 37 (2023) no. 1, p. 107

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DOI

We study hypersurfaces isometrically immersed in a trans-S-manifolds in order to find out under what conditions they could inherit the structure of the ambient manifold and so, to obtain new examples of such trans-S-manifolds. Mainly, we investigate this situation depending the behaviour of the second fundamental form of the immersion.
DOI : 10.2298/FIL2301107A
Classification : 53C15, 53C25, 53C99
Keywords: Almost trans-S-manifold, Trans-S-manifolds, Hypersurfaces totally geodesic, Totally umbilical, Totally f -geodesic, Totally f-umbilical, Pseudo-umbilical 
Pablo Alegre; Alfonso Carriazo; Luis M Fernández. Hypersurfaces of trans-s-manifolds. Filomat, Tome 37 (2023) no. 1, p. 107 . doi: 10.2298/FIL2301107A
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     title = {Hypersurfaces of trans-s-manifolds},
     journal = {Filomat},
     pages = {107 },
     year = {2023},
     volume = {37},
     number = {1},
     doi = {10.2298/FIL2301107A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301107A/}
}
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