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January 2017 Willmore-like functionals for surfaces in 3-dimensional Thurston geometries
Dmitry Berdinsky, Yuri Vyatkin
Osaka J. Math. 54(1): 75-83 (January 2017).

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.

Citation

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Dmitry Berdinsky. Yuri Vyatkin. "Willmore-like functionals for surfaces in 3-dimensional Thurston geometries." Osaka J. Math. 54 (1) 75 - 83, January 2017.

Information

Published: January 2017
First available in Project Euclid: 3 March 2017

zbMATH: 1372.53059
MathSciNet: MR3619749

Subjects:
Primary: 53C42
Secondary: 57R70

Rights: Copyright © 2017 Osaka University and Osaka City University, Departments of Mathematics

Vol.54 • No. 1 • January 2017
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