Geodesic
Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds
Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 243-260.

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By means of the bundle of orthonormal frames adapted to the submanifold as in the title an explicit exposition is given for these submanifolds. Two theorems give a full description of the semisymmetric Riemannian manifolds which can be immersed as such submanifolds. A conjecture is verified for this case that among manifolds of conullity two only the planar type (in the sense of Kowalski) is possible.
Classification : 53C21, 53C25, 53C40, 53C42
Keywords: semiparallel submanifolds; flat normal connection; semisymmetric Riemannian manifolds; manifolds of conullity two 
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     title = {Normally flat semiparallel submanifolds in space forms  as immersed semisymmetric {Riemannian} manifolds},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {243--260},
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     number = {2},
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     zbl = {1090.53046},
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     url = {http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a4/}
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Lumiste, Ülo. Normally flat semiparallel submanifolds in space forms  as immersed semisymmetric Riemannian manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) no. 2, pp. 243-260. http://geodesic.mathdoc.fr/item/CMUC_2002__43_2_a4/