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Methods of generalized Hermitian geometry in the theory of almost-contact manifolds

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Abstract

Almost-contact manifolds are considered as generalized almost-Hermitian manifolds of defect 1, which permits the use of the apparatus of the geometry of generalized almost-Hermitian manifolds to get a number of strong results, in particular to get a complete classification of important types of almost-contact manifolds. The theory of Q-algebras, which plays an important role in the apparatus mentioned, is presented in expanded form.

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Authors
  1. V. F. Kirichenko
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Translated from Itogi Nauk i Tekhniki, Seriya Problemy Geometrii, Vol. 18, pp. 25–71, 1986.

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Kirichenko, V.F. Methods of generalized Hermitian geometry in the theory of almost-contact manifolds. J Math Sci 42, 1885–1919 (1988). https://doi.org/10.1007/BF01094419

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