RT Journal Article
T1 The prescribed curvature problem in dimension four.
A1 Muñoz Masqué, Jaime
A1 Pozo Coronado, Luis Miguel
A1 Sánchez Rodríguez, I.
AB Necessary and sufficient conditions for a g-valued differential 2-form on a 4-dimensional manifold to be, locally, a curvature; form, are given. The dimension four is exceptional for the problem of prescribed curvature as, in this dimension, Bianchi's identities can be eliminated for a large class of Lie algebras, including semisimple algebras. Hence, the curvature forms are characterized as the solutions to a second-order partial differential system, which is proved to be formally integrable.
PB Elsevier
SN 0021-7824
YR 2009
FD 2009
LK https://hdl.handle.net/20.500.14352/50239
UL https://hdl.handle.net/20.500.14352/50239
LA eng
NO Ministerio de Ciencia e Innovación
NO Junta de Andalucía, P.A.I.
DS Docta Complutense
RD 4 abr 2025