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Differential Geometry of Manifolds

2023 №54(1)

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Banaru M.B. Banaru G.A.

On the most important achievements of V.F. Kirichenko in Theory of differentiable manifolds

DOI
10.5922/0321-4796-2023-54-1-4
Pages
29-38
differentiable manifold almost Hermitian manifold al­most contact metric manifold Kenmotsu manifold

Abstract

We mark out the most important results obtained by outstanding Rus­sian geometer Vadim Feodorovich Kirichenko in the theory of almost Hermitian and almost contact metric manifolds.

Reference

1. Kirichenko, V. F.: On nearly-Kählerian structures induced by means of 3-vector cross products on six-dimensional submanifolds of Cay­ley algebra. Mosc. Univ. Math. Bull., 3, 70—75 (1973).

2. Arsen’eva, O. E., Banaru, M. B., Burlakov, M. P. et al.: Vadim Fe­dorovich Kirichenko. Itogi Nauki i Tekhn. Sovrem. Math. and its App. Theme Reviews, 220, 3—16 (2023).

3. Kirichenko, V. F.: Differential-geometric structures on manifolds. Odessa (2013).

4. Yano, K., Kon, M.: Structures on manifolds. Singapore (1984).

5. Kirichenko, V. F.: Methods of generalized Hermitian geometry in the theory of almost contact manifolds. J. Soviet Math., 42:5, 1885—1919 (1988).

6. Kirichenko, V. F.: On the geometry of Kenmotsu manifolds. Dokl. Math., 64:2, 230—232 (2001).

7. Kirichenko, V. F., Rustanov, A. R.: Differential geometry of quasi-Sasakian manifolds. Sb. Math., 193:8, 1173—1202 (2002).

8. Banaru, M. B., Kirichenko, V. F.: Almost contact metric structures on the hypersurface of almost Hermitian manifolds. J. Math. Sci. (New York), 207:4, 513—537 (2015).