Abstract.
We study the geometric behavior of the normal bundle T ⊥ M of a submanifold M of a Riemannian manifold . We compute explicitely the second fundamental form of T ⊥ M and look at the relation between the minimality of T ⊥ M and M. Finally we show that the Maslov forms with respect to a suitable connection of the pair (T ⊥ M, are null.
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Received March 14, 2001; in revised form February 11, 2002
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Cintract, B., Morvan, JM. Geometry of the Normal Bundle of a Submanifold* . Monatsh. Math. 137, 5–20 (2002). https://doi.org/10.1007/s00605-002-0492-1
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DOI: https://doi.org/10.1007/s00605-002-0492-1