Abstract
In this paper we are concerned with a variational problem for a functional related to the conformality of maps between Riemannian manifolds. We give the first variation formula, the second variation formula, a kind of the monotonicity formula and a Bochner type formula. We also consider a variational problem of minimizing the functional in each 3-homotopy class of the Sobolev space.
Citation
Nobumitsu Nakauchi. "A variational problem related to conformal maps." Osaka J. Math. 48 (3) 719 - 741, September 2011.
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