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Keywords:
semiparallel submanifolds; flat normal connection; semisymmetric Riemannian manifolds; manifolds of conullity two
semiparallel submanifolds; flat normal connection; semisymmetric Riemannian manifolds; manifolds of conullity two
Summary:
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.
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