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Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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Abstract

Let \(\text M\)be an n-dimensional manifold which is minimally immersed in a unit sphere \(S^{n+p}\)of dimension \(n+p.\)

Work done under partial support by NSF Grant GP-6974;

Work done under partial support by NSF Grant GP-6974 and Guggenheim Foundation;

Work done under partial support by NSF Grant GP-8008.

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References

  1. Boruvka, o.: Sur les surfaces representées par les fonctions sphériques de première espèce. J. Math. pure et appl. 12, 337—383 (1933).

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© 2012 Springer-Verlag Berlin Heidelberg

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Chern, S.S., Carmo, M.d., Kobayashi, S. (2012). Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length. In: Tenenblat, K. (eds) Manfredo P. do Carmo – Selected Papers. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25588-5_5

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