Abstract
In this paper we first prove the fo11owing theorem on reduction of codimension of minima1 immersions: Theorem 1 - Let x: Mn→X be a minima1 immersion of an n-dimensiona1 connected manifold Mn into an (n+l)-dimensiona1 space X of constant curvature. Assume that the curvature tensor of the norma1 connexion is paral1e1 in the norma1 bundle and the first norma1 space of the immersion has constant dimension k.
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References
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© 2012 Springer-Verlag Berlin Heidelberg
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Colares, A.G., Carmo, M.P.d. (2012). On Minimal Immersions with Parallel Normal Curvature Tensor. In: Tenenblat, K. (eds) Manfredo P. do Carmo – Selected Papers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25588-5_11
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DOI: https://doi.org/10.1007/978-3-642-25588-5_11
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