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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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