About $A$-property of some elastic three-webs

K. R. Dzhukashev

Tver State University, 35 Sadovyi Lane, Tver, 170002 Russia

Abstract: We consider two families of multidimensional three-webs and prove that these webs are webs $E$, i.e., in their coordinate loops the elasticity identity holds true. We also show that these webs have $A$-properties.

Keywords: three-webs, $A$-property, loops, elastic three-webs, Bol three-webs, Moufang three-webs.

UDC: 514.763

Received: 24.12.2014

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:7, 19–28

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