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 languageEnglish
Pages (from-to)219-235
Number of pages17
JournalDifferential Geometry and its Applications
Volume5
Issue number3
DOIs
Publication statusPublished - 1995
Externally publishedYes

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

Izumiya, S & Kurokawa, Y 1995, 'Holonomic systems of Clairaut type', Differential Geometry and its Applications, vol. 5, no. 3, pp. 219-235. https://doi.org/10.1016/0926-2245(95)92847-X
Izumiya S, Kurokawa Y. Holonomic systems of Clairaut type. Differential Geometry and its Applications. 1995;5(3):219-235. https://doi.org/10.1016/0926-2245(95)92847-X
Izumiya, Shyuichi ; Kurokawa, Yasuhiro. / Holonomic systems of Clairaut type. In: Differential Geometry and its Applications. 1995 ; Vol. 5, No. 3. pp. 219-235.
@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 = "complete solutions, singular solutions, The Clairaut equation",
author = "Shyuichi Izumiya and Yasuhiro Kurokawa",
year = "1995",
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

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

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