Kodai Mathematical Journal
- Kodai Math. J.
- Volume 36, Number 3 (2013), 455-478.
Stability of F-stationary maps of a class of functionals related to conformal maps
In this paper, we study a generalized functional ΦF related to the conformality of maps between Riemannian manifolds. We derive the first variation formula and the second variation formula of ΦF, then we study the stability of F-stationary map from or into the standard sphere. We also introduce the F-stress energy tensor associated to ΦF which is naturally linked to conservation law.
Kodai Math. J., Volume 36, Number 3 (2013), 455-478.
First available in Project Euclid: 5 November 2013
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Han, Yingbo; Feng, Shuxiang; Pan, Hong. Stability of F -stationary maps of a class of functionals related to conformal maps. Kodai Math. J. 36 (2013), no. 3, 455--478. doi:10.2996/kmj/1383660692. https://projecteuclid.org/euclid.kmj/1383660692