HYPERSURFACES OF ALMOST γ-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A QUARTER SYMMETRIC METRIC CONNECTION

• Published : 2009.05.31
• 76 19

Abstract

We define a quarter symmetric metric connection in an almost r-paracontact Riemannian manifold and we consider invariant, noninvariant and anti-invariant hypersurfaces of an almost r-paracontact Riemannian manifold endowed with a quarter symmetric metric connection.

Keywords

hypersurfaces;almost ${\gamma}$-paracontact Riemannian manifold;quarter symmetric metric connection

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2. ON ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD WITH A CERTAIN CONNECTION vol.25, pp.2, 2010, https://doi.org/10.4134/CKMS.2010.25.2.235
3. ON SOME PROPERTIES OF SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY TRANS-SASAKIAN MANIFOLD ADMITTING A QUARTER-SYMMETRIC NON-METRIC CONNECTION vol.25, pp.1, 2012, https://doi.org/10.14403/jcms.2012.25.1.073
4. SUBMANIFOLDS OF AN ALMOST r-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC METRIC CONNECTION vol.32, pp.3, 2010, https://doi.org/10.5831/HMJ.2010.32.3.363
5. HYPERSURFACES OF ALMOST γ-PARACONTACT RIEMANNIAN MANIFOLD ENDOWED WITH SEMI-SYMMETRIC METRIC CONNECTION vol.46, pp.5, 2009, https://doi.org/10.4134/BKMS.2009.46.5.895