IJPAM: Volume 41, No. 6 (2007)

ALMOST CONTACT METRIC STRUCTURES ON
HYPERSURFACES OF ALMOST HERMITIAN MANIFOLDS

Abu-Saleem Ahmad$^1$, Lidia Stepanova$^2$, Galina A. Banaru$^3$
$^1$Department of Mathematics
Al Al-Bayt University
P.O. Box 130095, Marfaq, JORDAN
e-mail: dr_ahmad57@yahoo.com
$^2$Department of Physics and Mathematics
Military Academy of Aircraft Defense
2, Kotovsky Str., Smolensk, 214027, RUSSIA
e-mail: lide@yandex.ru
$^3$Department of Physics and Mathematics
Smolensk State Pedagogical University
4, Przhevalski Str., Smolensk, 214000, RUSSIA
e-mail: banaru@keytown.com


Abstract.The Cartan structural equations of an arbitrary almost contact metric structure induced on an oriented hypersurface of an almost Hermitian manifold are obtained.

Received: July 19, 2007

AMS Subject Classification: 53C40

Key Words and Phrases: almost Hermitian manifold, almost contact metric manifold, hypersurface

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 41
Issue: 6