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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive

Sib. Èlektron. Mat. Izv., 2019 Volume 16, Pages 955–958 (Mi semr1106)

This article is cited in 1 paper

Geometry and topology

On a family of minimal isotropic tori and Klein bottles in $\mathbb{C}P^3$

M. S. Ermentaiab

a Novosibirsk State University, Laboratory of Topology and Dynamics, 1, Pirogova str., Novosibirsk, 630090, Russia
b Specialized educational and scientific center of the Novosibirsk State University, 11/1, Pirogova str., Novosibirsk, 630090, Russia

Abstract: In this paper, we construct a family of minimal isotropic tori and Klein bottles in $\mathbb{C}P^3$ in terms elementary functions.

Keywords: minimal isotropic tori, Klein bottles, Laplace–Beltrami operator.

UDC: 514.76

MSC: 35R30

Received May 17, 2019, published July 3, 2019

DOI: 10.33048/semi.2019.16.064



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