Holonomic systems of Clairaut type

Shyuichi Izumiya; Yasuhiro Kurokawa

doi:10.1016/0926-2245(95)92847-X

Holonomic systems of Clairaut type

Shyuichi Izumiya, Yasuhiro Kurokawa

Research output: Contribution to journal › Article

15 Citations (Scopus)

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	https://doi.org/10.1016/0926-2245(95)92847-X
Publication status	Published - 1995 Sep

Fingerprint

Keywords

The Clairaut equation
complete solutions
singular solutions

ASJC Scopus subject areas

Analysis
Geometry and Topology
Computational Theory and Mathematics

Cite this

Izumiya, S., & Kurokawa, Y. (1995). Holonomic systems of Clairaut type. Differential Geometry and its Applications, 5(3), 219-235. https://doi.org/10.1016/0926-2245(95)92847-X

@article{e5e6342031c54982a42fcdad6fd292ef,

title = "Holonomic systems of Clairaut type",

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.",

keywords = "The Clairaut equation, complete solutions, singular solutions",

author = "Shyuichi Izumiya and Yasuhiro Kurokawa",

year = "1995",

month = sep

doi = "10.1016/0926-2245(95)92847-X",

language = "English",

volume = "5",

pages = "219--235",

journal = "Differential Geometry and its Applications",

issn = "0926-2245",

publisher = "Elsevier",

number = "3",

}

TY - JOUR

T1 - Holonomic systems of Clairaut type

AU - Izumiya, Shyuichi

AU - Kurokawa, Yasuhiro

PY - 1995/9

Y1 - 1995/9

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 - The Clairaut equation

KW - complete solutions

KW - singular solutions

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 -

Access to Document

10.1016/0926-2245(95)92847-X