RT Journal Article
T1 A canonical connection associated with certain G -structures.
A1 Sierra, José M.
A1 Valdés Morales, Antonio
AB Let P be a G-structure on a manifold M and AdP be the adjoint bundle of P. The authors deduce the following main result: there exists a unique connection r adapted to P such that trace(S  iX Tor(r)) = 0 for every section S of AdP and every vector field X on M, provided Tor(r) stands for the torsion tensor field of r. Two examples, namely almost Hermitian structures and almost contact metric structures, are discussed in more detail. Another interesting result reads: for a given structure group G, if it is possible to attach a connection to each G-structure in a functorial way with the additional assumption that the connection depends on first order contact only, then the first prolongation of the Lie algebra of G vanishes
PB Springer Verlag
SN 0011-4642
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/58671
UL https://hdl.handle.net/20.500.14352/58671
LA eng
DS Docta Complutense
RD 4 abr 2025