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A variational characterization for \(\sigma_{n/2}\)

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Abstract.

We present here a conformal variational characterization in dimension n = 2k of the equation \(\sigma_{k}(A_g) = constant\), where A is the Schouten tensor. Using the fully nonlinear parabolic flow introduced in [3], we apply this characterization to the global minimization of the functional.

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References

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Authors and Affiliations

  1. Department of Mathematics, Princeton University, NJ 08544, Princeton, USA

    Simon Brendle & Jeff A. Viaclovsky

Authors
  1. Simon Brendle
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  2. Jeff A. Viaclovsky
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Corresponding author

Correspondence to Simon Brendle.

Additional information

Received: 31 March 2003, Accepted: 10 July 2003, Published online: 25 February 2004

Research supported in part by an NSF Postdoctoral Fellowship.

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Brendle, S., Viaclovsky, J.A. A variational characterization for \(\sigma_{n/2}\) . Cal Var 20, 399–402 (2004). https://doi.org/10.1007/s00526-003-0234-9

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  • DOI: https://doi.org/10.1007/s00526-003-0234-9

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