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Minimal Centroaffine Immersions of Codimension Two

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Abstract.

In this paper we consider centroaffine immersions of codimension two. We will calculate the first and also second variational formulas of centroaffine volume integral with moving frames and then give some examples of minimal centroaffine immersions of codimension two.

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, Shenyang, 110004, P. R. China

    Yun Yang & Huili Liu

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  1. Yun Yang
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  2. Huili Liu
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Correspondence to Huili Liu.

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Dedicated to Professor Udo Simon on the occasion of his 70th birthday

Huili Liu: Partially supported by NSFC; Joint Research of NSFC and KOSEF; Chern Institute of Mathematics; Northeastern University.

Received: November 6, 2007. Accepted: January 21, 2008.

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Yang, Y., Liu, H. Minimal Centroaffine Immersions of Codimension Two. Result. Math. 52, 423–437 (2008). https://doi.org/10.1007/s00025-008-0321-5

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  • DOI: https://doi.org/10.1007/s00025-008-0321-5

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