×

Submanifolds of an almost \(r\)-paracontact Riemannian manifold endowed with a semi-symmetric metric connection. (English) Zbl 1216.53027

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
PDFBibTeX XMLCite
Full Text: DOI