On Ricci h-pseudosymmetric h-hypersurfaces of some anti-k{a}hler manifolds

R. Deszcz; Mileva Prvanović

Geodesic

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On Ricci h-pseudosymmetric h-hypersurfaces of some anti-k{a}hler manifolds

R. Deszcz ; Mileva Prvanović

Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 43 .

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Résumé

We adopt the notion of the pseudosymmetry and Ricci pseudosymmetry to the case of the anti-K{a}hler manifolds and then we extend the results of the paper [1] to the h-hypersurfaces of the anti-K{a}hler manifolds of the constant totally real sectional curvatures.

Zbl

Classification : 53C56
Keywords: anti-K{a}hler manifold, h-hypersurface, h-pseudosymmetry, Ricci h-pseudosymmetry

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     author = {R. Deszcz and Mileva Prvanovi\'c},
     title = {On {Ricci} h-pseudosymmetric h-hypersurfaces of some anti-k{a}hler manifolds},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {43 },
     publisher = {mathdoc},
     volume = {33},
     year = {2008},
     zbl = {1199.53145},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2008_33_a2/}
}

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R. Deszcz; Mileva Prvanović. On Ricci h-pseudosymmetric h-hypersurfaces of some anti-k{a}hler manifolds. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 33 (2008), p. 43 . http://geodesic.mathdoc.fr/item/BASS_2008_33_a2/