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On the cut locus and the focal locus of a submanifold in a Riemannian manifold. II. (English) Zbl 0651.53038

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

MSC:

53C40 Global submanifolds

Citations:

Zbl 0641.53048
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