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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2005 Volume 46, Number 6, Pages 1407–1426 (Mi smj1049)

This article is cited in 5 papers

On one family of minimal tori in $\mathbb R^3$ with planar embedded ends

E. I. Shamaev

Research Institute of Mathematics of Yakut State University

Abstract: We construct new examples of complete minimal tori in the three-dimensional Euclidean space with an arbitrary even number $n\geqslant6$ of planar embedded ends.

Keywords: minimal surface, Willmore surface, superminimal surface.

UDC: 514.752.437

Received: 21.04.2005


 English version:
Siberian Mathematical Journal, 2005, 46:6, 1135–1152

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© Steklov Math. Inst. of RAS, 2025