A TANGENT-SPACE CHARACTERIZATION OF THE EQUIVALENCE OF GERMS FOR GEOMETRIC SUBGROUPS OF A AND K

Authors
LARILAVASSANI A
Citation
A. Larilavassani, A TANGENT-SPACE CHARACTERIZATION OF THE EQUIVALENCE OF GERMS FOR GEOMETRIC SUBGROUPS OF A AND K, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 125, 1995, pp. 587-593
Citations number
12
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
125
Year of publication
1995
Part
3
Pages
587 - 593
Database
ISI
SICI code
0308-2105(1995)125:<587:ATCOTE>2.0.ZU;2-S
Abstract
It is shown that under the action of a geometric subgroup G of A and K , for a germ f satisfying a certain finiteness condition, given a germ p, if the tangent spaces of f and f + p are equal for all t is an ele ment of [0, 1], then f and f + p are G-equivalent.