Ioan, Catalin-Angelo Totally geodesic foliations on semi-Riemannian manifolds. (English) Zbl 0910.53018 Tensor, New Ser. 58, No. 1, 31-34 (1997). The author studies the case of orthogonal foliations \({\mathcal I}\) and \({\mathcal I}'\) over a complete semi-Riemannian manifold \((M,g)\) of dimension \((m+n)\). The foliation \({\mathcal I}\) is either spacelike or timelike, while the foliation \({\mathcal I}^\perp\) is totally geodesic. Under some additional conditions, the foliation \({\mathcal I}\) will also be totally geodesic. Reviewer: A.P.Stone (Albuquerque) MSC: 53C12 Foliations (differential geometric aspects) 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics Keywords:totally geodesic foliation; orthogonal foliations; semi-Riemannian manifold PDFBibTeX XMLCite \textit{C.-A. Ioan}, Tensor, New Ser. 58, No. 1, 31--34 (1997; Zbl 0910.53018)