## Osaka Journal of Mathematics

### Willmore-like functionals for surfaces in 3-dimensional Thurston geometries

#### Abstract

We find analogues of the Willmore functional for each of the Thurston geometries with $4$--dimensional isometry group such that the CMC--spheres in these geometries are critical points of these functionals.

#### Article information

Source
Osaka J. Math., Volume 54, Number 1 (2017), 75-83.

Dates
First available in Project Euclid: 3 March 2017

https://projecteuclid.org/euclid.ojm/1488531785

Mathematical Reviews number (MathSciNet)
MR3619749

Zentralblatt MATH identifier
1372.53059

#### Citation

Berdinsky, Dmitry; Vyatkin, Yuri. Willmore-like functionals for surfaces in 3-dimensional Thurston geometries. Osaka J. Math. 54 (2017), no. 1, 75--83. https://projecteuclid.org/euclid.ojm/1488531785

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