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

Dmitry Berdinsky; Yuri Vyatkin

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arXiv · 1410.8669

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

Dmitry Berdinsky·Yuri Vyatkin

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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.

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BibTeX RIS

Dmitry Berdinsky, Yuri Vyatkin. 2014-10-31. Willmore-like functionals for surfaces in 3-dimensional Thurston geometries. https://arxiv.org/abs/1410.8669

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