D. A. Berdinskii, “On some generalization of the Willmore functional for surfaces in $\widetilde{SL}_2$”, Sib. Èlektron. Mat. Izv., 7 (2010), 140

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2010, Volume 7, Pages 140–149 (Mi semr237)

This article is cited in 1 scientific paper (total in 1 paper)

Research papers

On some generalization of the Willmore functional for surfaces in $\widetilde{SL}_2$

D. A. Berdinskii^ab

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
^b Novosibirsk State University

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Abstract: We propose some generalization of the Willmore functional for closed surfaces in$\widetilde{SL}_2$. We discuss the relation between this functional and isoperimetric problem in $\widetilde{SL}_2$.

Keywords: Thorston’s geometry, Willmore functional.

Received February 11, 2010, published July 6, 2010

Bibliographic databases:

Document Type: Article

UDC: 514.772.22

MSC: 53C42

Language: Russian

Citation: D. A. Berdinskii, “On some generalization of the Willmore functional for surfaces in $\widetilde{SL}_2$”, Sib. Èlektron. Mat. Izv., 7 (2010), 140–149

Citation in format AMSBIB

\Bibitem{Ber10}

\by D.~A.~Berdinskii

\paper On some generalization of the Willmore functional for surfaces in~$\widetilde{SL}_2$

\jour Sib. \`Elektron. Mat. Izv.

\yr 2010

\vol 7

\pages 140--149

\mathnet{http://mi.mathnet.ru/semr237}

\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2674269}

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https://www.mathnet.ru/eng/semr/v7/p140

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