Abstract
We give a generic classification of holonomic systems with classical complete solutions under the equivalence relation given by the group of point transformations in the sense of Sophus Lie. The normal forms are represented by a sort of divergent diagrams of map germs.
| Original language | English |
|---|---|
| Pages (from-to) | 219-235 |
| Number of pages | 17 |
| Journal | Differential Geometry and its Applications |
| Volume | 5 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1995 |
| Externally published | Yes |
Keywords
- complete solutions
- singular solutions
- The Clairaut equation
ASJC Scopus subject areas
- Computational Theory and Mathematics
- Analysis
- Geometry and Topology
Cite this
Holonomic systems of Clairaut type. / Izumiya, Shyuichi; Kurokawa, Yasuhiro.
In: Differential Geometry and its Applications, Vol. 5, No. 3, 1995, p. 219-235.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Holonomic systems of Clairaut type
AU - Izumiya, Shyuichi
AU - Kurokawa, Yasuhiro
PY - 1995
Y1 - 1995
N2 - We give a generic classification of holonomic systems with classical complete solutions under the equivalence relation given by the group of point transformations in the sense of Sophus Lie. The normal forms are represented by a sort of divergent diagrams of map germs.
AB - We give a generic classification of holonomic systems with classical complete solutions under the equivalence relation given by the group of point transformations in the sense of Sophus Lie. The normal forms are represented by a sort of divergent diagrams of map germs.
KW - complete solutions
KW - singular solutions
KW - The Clairaut equation
UR - http://www.scopus.com/inward/record.url?scp=0009904695&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0009904695&partnerID=8YFLogxK
U2 - 10.1016/0926-2245(95)92847-X
DO - 10.1016/0926-2245(95)92847-X
M3 - Article
AN - SCOPUS:0009904695
VL - 5
SP - 219
EP - 235
JO - Differential Geometry and its Applications
JF - Differential Geometry and its Applications
SN - 0926-2245
IS - 3
ER -