On some almost contact metric hypersurfaces of Kahlerian manifolds

Banaru Mihail

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528

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BANARU, Mihail. On some almost contact metric hypersurfaces of Kahlerian manifolds. In: Proceedings IMCS-55: The Fifth Conference of Mathematical Society of the Republic of Moldova, 28 septembrie - 1 octombrie 2019, Chișinău. Chișinău, Republica Moldova: "VALINEX" SRL, 2019, pp. 18-23. ISBN 978-9975-68-378-4.

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Proceedings IMCS-55 2019

Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chișinău, Moldova, 28 septembrie - 1 octombrie 2019

On some almost contact metric hypersurfaces of Kahlerian manifolds

Pag. 18-23

Banaru Mihail

Smolensk State University

Disponibil în IBN: 1 noiembrie 2019

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Rezumat

It is proved that a minimal hypersurfaces of a K¨ahlerian manifold, equipped with an almost contact metric Kirichenko–Uskorev structure, is totally umbilical if and only if it is totally geodesic.

Cuvinte-cheie
Kahlerianmanifold, almost contact metric structure, Kirichenko–Uskorev structure, minimal hypersurface, second fundamental form

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