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.
@article{119317,
author = {\"Ulo Lumiste},
title = {Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds},
journal = {Commentationes Mathematicae Universitatis Carolinae},
volume = {43},
year = {2002},
pages = {243-260},
zbl = {1090.53046},
mrnumber = {1922125},
language = {en},
url = {http://dml.mathdoc.fr/item/119317}
}
Lumiste, Ülo. Normally flat semiparallel submanifolds in space forms as immersed semisymmetric Riemannian manifolds. Commentationes Mathematicae Universitatis Carolinae, Tome 43 (2002) pp. 243-260. http://gdmltest.u-ga.fr/item/119317/
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