Osaka Journal of Mathematics
- Osaka J. Math.
- Volume 48, Number 3 (2011), 719-741.
A variational problem related to conformal maps
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.
Osaka J. Math. Volume 48, Number 3 (2011), 719-741.
First available in Project Euclid: 26 September 2011
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Nakauchi, Nobumitsu. A variational problem related to conformal maps. Osaka J. Math. 48 (2011), no. 3, 719--741. https://projecteuclid.org/euclid.ojm/1317044944.