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Regular submanifolds in conformal space ℚ n p

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Abstract

The authors study the regular submanifolds in the conformal space ℚ n p and introduce the submanifold theory in the conformal space ℚ n p . The first variation formula of the Willmore volume functional of pseudo-Riemannian submanifolds in the conformal space ℚ n p is given. Finally, the conformal isotropic submanifolds in the conformal space ℚ n p are classified.

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Authors and Affiliations

  1. Faculty of Mathematics and Computer Sciences, Hubei University, Wuhan, 430062, China

    Changxiong Nie

  2. Institute of Mathematics Sciences, Hubei University, Wuhan, 430062, China

    Chuanxi Wu

Authors
  1. Changxiong Nie
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  2. Chuanxi Wu
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Corresponding author

Correspondence to Changxiong Nie.

Additional information

Project supported by the National Natural Science Foundation of China (No. 10971055) and the Natural Science Foundation of the Educational Commission of Hubei Province (Key Program) (No. D1120111007).

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Nie, C., Wu, C. Regular submanifolds in conformal space ℚ n p . Chin. Ann. Math. Ser. B 33, 695–714 (2012). https://doi.org/10.1007/s11401-012-0733-0

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  • DOI: https://doi.org/10.1007/s11401-012-0733-0

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