Research Explorer

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Researcher

Michael Crampin

Awards & Distinctions

68 Results

2016

Cartan geometries and their symmetries : a Lie algebroid approach

Michael CrampinDavid Saunders

2014

A class of Finsler surfaces whose geodesics are circles

Michael CrampinTom Mestdag

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

Finsler functions for two-dimensional sprays

Michael Crampin

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

On the construction of Riemannian metrics for Berwald spaces by averaging

Michael Crampin

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATICS

2013

Hilbert forms for a Finsler metrizable projective class of sprays

Michael CrampinTom MestdagDavid J Saunders

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

2012

Holonomy of a class of bundles with fibre metrics

Michael CrampinDavid J Saunders

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

Homogeneity and projective equivalence of differential equation fields

Michael CrampinDavid J Saunders

A1 Journal Article in JOURNAL OF GEOMETRIC MECHANICS

The multiplier approach to the projective Finsler metrizability problem

Michael CrampinTom MestdagDavid J Saunders

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

2011

Involutive distributions and dynamical systems of second-order type

Tom MestdagMichael Crampin

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

On Landsberg spaces and the Landsberg-Berwald problem

Michael Crampin

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATICS

Reduction of invariant constrained systems using anholonomic frames

Michael CrampinTom Mestdag

A1 Journal Article in JOURNAL OF GEOMETRIC MECHANICS

Second-order dynamical systems of Lagrangian type with dissipation

Tom MestdagWilly SarletMichael Crampin

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Some remarks on the Finslerian version of Hilbert's fourth problem

Michael Crampin

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATICS

The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem

Michael CrampinTom Mestdag

A1 Journal Article in INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

The inverse problem for Lagrangian systems with certain non-conservative forces

Tom MestdagWilly SarletMichael Crampin

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

2010

Anholonomic frames in constrained dynamics

Michael CrampinTom Mestdag

A1 Journal Article in DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL

Homogeneous systems of higher-order ordinary differential equations

Michael Crampin

A2 Journal Article in COMMUNICATIONS IN MATHEMATICS

Nonholonomic systems as restricted Euler-Lagrange systems

Tom MestdagMichael Crampin

A1 Journal Article in BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS

On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces

Michael CrampinTom MestdagWilly Sarlet

A1 Journal Article in ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK

The fundamental form of a homogeneous Lagrangian in two independent variables

David J SaundersMichael Crampin

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2009

Cartan connections and lie algebroids

Michael Crampin

A1 Journal Article in SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Generalized submersiveness of second-order ordinary differential equations

Willy SarletGE PrinceMichael Crampin

A1 Journal Article in JOURNAL OF GEOMETRIC MECHANICS

Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions

Michael CrampinDavid J Saunders

A2 Journal Article in LOBACHEVSKII JOURNAL OF MATHEMATICS

Reduction and Reconstruction Aspects of Second-Order Dynamical Systems with Symmetry

Michael CrampinTom Mestdag

A1 Journal Article in Acta Applicandae Mathematicae

Second-order differential equation fields with symmetry

Michael CrampinTom Mestdag

Some concepts of regularity for parametric multiple-integral problems in the calculus of variations

Michael CrampinDJ Saunders

A1 Journal Article in CZECHOSLOVAK MATHEMATICAL JOURNAL

2008

Invariant Lagrangians, mechanical connections and the Lagrange-Poincare equations

Tom MestdagMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Kahler and para-Kahler structures associated with finsler spaces of non-zero constant flag curvature

Michael Crampin

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATICS

Relative equilibria of Lagrangian systems with symmetry

Michael CrampinTom Mestdag

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Routh's procedure for non-Abelian symmetry groups

Michael CrampinTom Mestdag

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

Structural equations for a special class of conformal Killing tensors of arbitrary valence

Michael Crampin

A1 Journal Article in REPORTS ON MATHEMATICAL PHYSICS

The inverse problem for invariant Lagrangians on a lie group

Michael CrampinTom Mestdag

A1 Journal Article in JOURNAL OF LIE THEORY

2007

A connection-theoretic approach to reduction of second-order dynamical systems with symmetry

Tom MestdagMichael Crampin

Affine and projective transformations of Berwald connections

Michael CrampinD.J. Saunders

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Concircular vector fields and special conformal Killing tensors

Michael Crampin

Bookchapter in Differential Geometric Methods in Mechanics and Field Theory

Differential Geometric Methods in Mechanics and Field Theory

Fefferman-type metrics and the projective geometry of sprays in two dimensions

Michael CrampinD.J. Saunders

A1 Journal Article in MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

Isotropic and R-flat sprays

Michael Crampin

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATICS

On the geometry of higher-order ordinary differential equations and the Wuenschmann invariant

Michael CrampinD Saunders

Bookchapter in Groups, Geometry and Physics

Projective connections

Michael CrampinDJ Saunders

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

2006

A class of recursion operators on a tangent bundle

Fien VermeireWilly SarletMichael Crampin

A class of recursion operators on a tangent bundle

Fien VermeireWilly SarletMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

2005

Cartan's concept of duality for second-order ordinary differential equations

Michael CrampinDJ Saunders

A1 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

On null Lagrangians

Michael CrampinDJ Saunders

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

On the orthogonal separation of variables in the Hamilton-Jacobi equation for geodesics in a Riemannian manifold

Michael Crampin

Randers spaces with reversible geodesics

Michael Crampin

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

2004

The Hilbert-Caratheodory and Poincare-Cartan forms for higher-order multiple-integral variational problems

Michael CrampinDJ Saunders

A1 Journal Article in HOUSTON JOURNAL OF MATHEMATICS

The second-order ordinary differential equation: Cartan, Douglas, Berwald

Michael Crampin

A2 Journal Article in Periodica mathematica Hungarica

2003

Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton-Jacobi equation

Michael Crampin

A1 Journal Article in DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Gaussian curvature as a null homogeneous second-order Lagrangian

Michael Crampin

A1 Journal Article in PUBLICATIONES MATHEMATICAE-DEBRECEN

Projectively equivalent Riemannian spaces as quasi-bi-Hamiltonian systems

Michael Crampin

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

The Hilbert-Caratheodory form for parametric multiple integral problems in the calculus of variations

Michael CrampinDJ Saunders

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

2002

Bi-quasi-Hamiltonian systems.

Michael CrampinWilly Sarlet

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2001

A class of non-conservative Lagrangian systems on Riemannian manifolds.

Michael CrampinWilly Sarlet

A1 Journal Article in JOURNAL OF MATHEMATICAL PHYSICS

2000

Addendum to: The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations

Willy SarletMichael Crampin

Bi-differential calculi and bi-Hamiltonian systems

Michael CrampinWilly SarletG Thompson

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors

Michael CrampinWilly SarletG Thompson

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

1999

The inverse problem of the calculus of variations: Separable systems

Michael CrampinGE PrinceWilly SarletG Thompson

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

1998

The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations

Willy SarletMichael CrampinE Martínez

A1 Journal Article in ACTA APPLICANDAE MATHEMATICAE

1996

Linear connections for systems of second-order ordinary differential equations

Michael CrampinE MartinezWilly Sarlet

A1 Journal Article in ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE

1989

The canonical isomorphism between TkT∗M and T*TkM

Frans CantrijnMichael CrampinWilly SarletDavid Saunders

A1 Journal Article in COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II

1987

Evading the inverse problem for second-order ordinary differential equations by using additional variables

Frans CantrijnMichael CrampinWilly Sarlet

A1 Journal Article in INVERSE PROBLEMS

Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle

Michael CrampinFrans CantrijnWilly Sarlet

A2 Journal Article in JOURNAL OF GEOMETRY AND PHYSICS

Pseudo-symmetries, Noether's theorem and the adjoint equation

Willy SarletFrans CantrijnMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

1986

Higher-order differential equations and higher-order lagrangian mechanics

Michael CrampinWilly SarletFrans Cantrijn

A1 Journal Article in MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY

1985

A characterisation of higher-order Noether symmetries

Willy SarletMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

Some recent results on symmetries of Lagrangian systems re-examined

Willy SarletMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL

1984

A new look at second-order equations and Lagrangian mechanics

Willy SarletFrans CantrijnMichael Crampin

A1 Journal Article in JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL