Singh, Hukum On the cut locus and the focal locus of a submanifold in a Riemannian manifold. II. (English) Zbl 0651.53038 Publ. Inst. Math., Nouv. Sér. 41(55), 119-124 (1987). Author’s abstract: “Let M be a compact connected Riemannian manifold and let L be a compact connected submanifold of M. We show that if a point x is a closest cut point of L which is not a focal point of L, then two different geodesics meet at an angle of \(\pi\) at x.” [Part I cf. Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 30, 139-144 (1987; Zbl 0641.53048)]. Reviewer: D.Ferus Cited in 2 Documents MSC: 53C40 Global submanifolds Keywords:submanifold; cut point; focal point; geodesics Citations:Zbl 0641.53048 PDFBibTeX XMLCite \textit{H. Singh}, Publ. Inst. Math., Nouv. Sér. 41(55), 119--124 (1987; Zbl 0651.53038) Full Text: EuDML