Odd-dimensional Weyl and pseudo-Weyl spaces with additional tensor structures | Zendy

Musa Ajeti | Zendy; Marta Teofilova | Zendy; Georgi Zlatanov | Zendy

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Odd-dimensional Weyl and pseudo-Weyl spaces with additional tensor structures

Author(s) -

Musa Ajeti,

Marta Teofilova,

Georgi Zlatanov

Publication year - 2017

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1706709a

Subject(s) - mathematics , weyl transformation , connection (principal bundle) , weyl tensor , covariant transformation , pure mathematics , nilpotent , torsion (gastropod) , covariant derivative , curvature , verma module , riemann curvature tensor , mathematical physics , mathematical analysis , geometry , conformal map , lie algebra , medicine , surgery , conformal symmetry

Odd-dimensional Weyl and pseudo-Weyl spaces admitting almost contact, almost paracontact and nilpotent structures are considered in this work. The results are obtained by means of the apparatus of the prolonged covariant differentiation. A linear connection with torsion is constructed. With respect to this connection the prolonged covariant derivatives of the fundamental tensors of the Weyl and pseudo-Weyl spaces are found to be zero. The curvature tensor with respect to this connection is considered. MSC(2010): 53B05, 53B99. Keywords: composition, almost contact structure, almost paracontact structure, nilpotent structure, Weyl space, prolonged differentiation.

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