Ricci and Bianchi identities for \(h\)-normal \(\Gamma\)-linear connections on \(J^{1}(T,M)\)

DOI10.1155/S0161171203012419zbMATH Open1040.53009arXivmath/0009070MaRDI QIDQ1811979

Mircea Neagu

Publication date: 18 June 2003

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Abstract: The paper introduces the notion of h-normal Gamma-linear connection

abla on 1-jet fibre bundle J^1(T,M), and studies its local d-torsions and d-curvatures togheter with theirs Bianchi identities. Also, it presents the important deflection d-tensors identities attached to

abla.

Full work available at URL: https://arxiv.org/abs/math/0009070

zbMATH Keywords

torsioncurvatureBianchi identitiesRicci identities\(d\)-tensorsfirst-order jet fibre bundle

Mathematics Subject Classification ID

Jets in global analysis (58A20) Applications of local differential geometry to the sciences (53B50) Linear and affine connections (53B05) Other connections (53B15) Methods of local Riemannian geometry (53B21)

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