Ahmad, Mobin; Jun, Jae Bok Submanifolds of an almost \(r\)-paracontact Riemannian manifold endowed with a semi-symmetric metric connection. (English) Zbl 1216.53027 Honam Math. J. 32, No. 3, 363-374 (2010). Summary: We define a semi-symmetric non-metric connection in an almost \(r\)-paracontact Riemannian manifold and we consider sub-manifolds of an almost \(r\)-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection and obtain Gauss and Codazzi equations, Weingarten equation and curvature tensor for submanifolds of an almost \(r\)-paracontact Riemannian manifold endowed with a semi-symmetric non-metric connection. MSC: 53C05 Connections (general theory) 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53B25 Local submanifolds Keywords:almost \(r\)-paracontact Riemannian manifold; semi-symmetric metic connection; Codazzi equations; Weingarten equation; curvature tensor PDFBibTeX XMLCite \textit{M. Ahmad} and \textit{J. B. Jun}, Honam Math. J. 32, No. 3, 363--374 (2010; Zbl 1216.53027) Full Text: DOI