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JOURNALS // Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki // Archive

Kazan. Gos. Univ. Uchen. Zap. Ser. Fiz.-Mat. Nauki, 2009 Volume 151, Book 4, Pages 192–196 (Mi uzku777)

On a Class of Almost Contact Metric Manifolds of Maximal Mobility

N. A. Tyapin

Penza State Pedagogical University

Abstract: A special class of almost contact metric manifolds $M^{2n+1}(\eta,\xi,\Phi,g)$ of maximal mobility is studied. In terms of a special coordinate system, we calculate the components of the structure objects of $M^{2n+1}$ and find basis vector fields of the Lie algebra of infinitesimal automorphisms of $M^{2n+1}$.

Keywords: almost contact metric manifold, Lie algebra, infinitesimal automorphism.

UDC: 514.76

Received: 04.06.2009



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