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Non-degeneracy of extremal points in multi-dimensional space

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Abstract

For a family of smooth functions defined in multi-dimensional space, we show that, under certain generic conditions, all minimal and maximal points are non-degenerate.

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Authors and Affiliations

  1. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    ChongQing Cheng

  2. School of Information Management, Nanjing University, Nanjing, 210093, China

    Min Zhou

Authors
  1. ChongQing Cheng
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  2. Min Zhou
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Correspondence to ChongQing Cheng.

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Cheng, C., Zhou, M. Non-degeneracy of extremal points in multi-dimensional space. Sci. China Math. 58, 2255–2260 (2015). https://doi.org/10.1007/s11425-015-5057-6

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  • DOI: https://doi.org/10.1007/s11425-015-5057-6

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