FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1997, VOLUME 3, NUMBER 3, PAGES 837-846

On geometry of transsasakian and almost transsasakian manifolds

V. F. Kirichenko
E. V. Rodina

Abstract

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Significant class of almost transsasakian manifolds is selected. Exhausting characterization of the class is obtained. Exhausting description of transsasakian structure class is received. Full classification of transsasakian manifolds of constant $$F-holomorphic sectional curvature with non-integrable structure as well as transsasakian manifolds with non-integrable structure satisfied to axiom of $$F-holomorphic planes is obtained.

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