Geodesic
On the Focal Locus of a Submanifold in a Riemannian Manifold of Constant Sectional Curvature
Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 107

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We discuss the focal locus of a submanifold in a Riemannian manifold of constant sectional curvature. Focal points of submanifolds in Riemannian manifolds have been studied already in [1,4,7] and [8]. We consider the location of focal points along a geodesic, and we also obtain conditions under which the focal locus is a submanifold of given dimension.
Classification : 53B21 53C40 
@article{PIM_1985_N_S_37_51_a19,
     author = {Hukum Singh},
     title = {On the {Focal} {Locus} of a {Submanifold} in a {Riemannian} {Manifold} of {Constant} {Sectional} {Curvature}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {107 },
     publisher = {mathdoc},
     volume = {_N_S_37},
     number = {51},
     year = {1985},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a19/}
}
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Hukum Singh. On the Focal Locus of a Submanifold in a Riemannian Manifold of Constant Sectional Curvature. Publications de l'Institut Mathématique, _N_S_37 (1985) no. 51, p. 107 . http://geodesic.mathdoc.fr/item/PIM_1985_N_S_37_51_a19/