Abstract
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 φ-analytic curvature H = −3 of the first and also second and third classes of the Tanno theorem. The 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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References
D. E. Blair, Contact Manifolds in Riemannian Geometry, Lect. Notes Math., Vol. 509, Springer-Verlag, Berlin (1976).
V. F. Kirichenko, Differential-Geometrical Structures on Manifolds [in Russian], MPSU, Moscow (2003).
S. Tanno, “The automorphism groups of almost contact Riemannian manifolds,” Tôhoku Math. J., 21, No. 1, 21–38 (1969).
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Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 16, No. 2, pp. 129–137, 2010.
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Tyapin, N.A. On infinitesimal automorphisms of almost contact metric lattices. J Math Sci 177, 735–741 (2011). https://doi.org/10.1007/s10958-011-0503-7
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DOI: https://doi.org/10.1007/s10958-011-0503-7