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SM ISO690:2012 BANARU, Mihail, BANARU, Galina. On almost contact metric 2- and 3-hypersurfaces in W4-manifolds. In: Conference on Applied and Industrial Mathematics: CAIM 2018, 20-22 septembrie 2018, Iași, România. Chișinău, Republica Moldova: Casa Editorial-Poligrafică „Bons Offices”, 2018, Ediţia a 26-a, pp. 82-83. ISBN 978-9975-76-247-2. |
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Conference on Applied and Industrial Mathematics Ediţia a 26-a, 2018 |
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Conferința "Conference on Applied and Industrial Mathematics" Iași, România, Romania, 20-22 septembrie 2018 | |||||
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Pag. 82-83 | |||||
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The class of W4-manifolds is one of so-called "small" Gray-Hervella classes [1] of almost Hermitian manifolds. Some specialists identify this class with the class of locally conformal Kahlerian (LCK-) manifolds that is not absolutely correct. In fact, the class contains all locally conformal Kahlerian manifolds, but coincides with the class of LCK-manifolds only for dimension at least six [2]. W4-manifolds were studied in detail by such outstanding mathematicians as A. Gray (USA), V.F. Kirichenko (Russian Federation) and I. Vaisman (Israel). As it is known, almost contact metric structures are induced on oriented hypersurfaces of an almost Hermitian manifold. We remind that the almost contact metric structure on an odd-dimensional manifold N is de ned by the system of tensor elds f; ; ; gg on this manifold, where is a vector eld, is a covector eld, is a tensor of the type (1; 1) and g = h; i is a Riemannian metric [5], [6]. Moreover, the following conditions are ful lled |
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