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Research papers

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

D. A. Berdinskii<sup>ab

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

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.

UDC: 514.772.22

MSC: 53C42

Received February 11, 2010, published July 6, 2010

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