RT Journal Article
T1 Distributions admitting a local basis of homogeneous polynomials
A1 Castrillón López, Marco
A1 Gadea, P.M.
A1 Muñoz Masqué, Jaime
AB The paper is a survey of several results by the authors, the main one of them being the following characterization of homogeneous algebraic distributions: Let us consider a vertical distribution D on the vector bundle p:E→M locally spanned by vertical vector fields X1,⋯,Xr. Let χ be the Liouville vector field of the vector bundle. Then there exists an r×r invertible matrix with smooth entries (cij) such that the vector fields Yj=∑ri=1cijXi, 1≤j≤r, are homogeneous algebraic of degree d if and only if there exists an r×r matrix A=(aij) of smooth functions given by [χ,Xj]=∑ri=1aijXi such that A restricted to the zero section of E is(d−1) times the identity matrix.    Examples and applications are given.
PB the American Romanian Academy of Arts and Sciences (USA)
SN 0278-5307
YR 1999
FD 1999
LK https://hdl.handle.net/20.500.14352/58909
UL https://hdl.handle.net/20.500.14352/58909
LA eng
NO CICYT
DS Docta Complutense
RD 1 may 2024