On the nullity index of isometric immersions of Kähler manifolds
M. J. Ferreira, R. Tribuzy (2001)
Rendiconti del Seminario Matematico della Università di Padova
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A Riemannian manifold is said to be semisymmetric if . A submanifold of Euclidean space which satisfies is called semiparallel. It is known that semiparallel submanifolds are intrinsically semisymmetric. But can every semisymmetric manifold be immersed isometrically as a semiparallel submanifold? This problem has been solved up to now only for the dimension 2, when the answer is affirmative for the positive Gaussian curvature. Among semisymmetric manifolds a special role is played...