FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2010, VOLUME 16, NUMBER 2, PAGES 129-137

On infinitesimal automorphisms of almost contact metric lattices

N. A. Tyapin

Abstract

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In this paper, three-dimensional maximum mobile almost contact manifolds are considered. In a special frame, we have obtained the form of structural objects for the case of constant $$f-analytic curvature $H\; =$-3 of the first and also second and third classes of the Tanno theorem. Basis vector field of the Lie algebra of infinitesimal automorphisms for each of the considered structures and their commutators are found.

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Last modified: April 5, 2011