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Crampin, Mike

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Author ID: crampin.mike Recent zbMATH articles by "Crampin, Mike"
Published as: Crampin, M.; Crampin, Mike
Documents Indexed: 105 Publications since 1973, including 2 Books

Publications by Year

Citations contained in zbMATH Open

91 Publications have been cited 906 times in 538 Documents Cited by Year
On the multisymplectic formalism for first order field theories. Zbl 0782.58057
Cariñena, J. F.; Crampin, M.; Ibort, L. A.
67
1991
Tangent bundle geometry for Lagrangian dynamics. Zbl 0536.58004
Crampin, M.
58
1983
Applicable differential geometry. Zbl 0606.53001
Crampin, M.; Pirani, F. A. E.
54
1986
A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics. Zbl 0545.58020
Crampin, M.; Prince, G. E.; Thompson, G.
46
1984
Higher-order differential equations and higher-order Lagrangian mechanics. Zbl 0609.58049
Crampin, M.; Sarlet, W.; Cantrijn, F.
42
1986
On the differential geometry of the Euler-Lagrange equations and the inverse problem of Lagrangian dynamics. Zbl 0475.70022
Crampin, M.
36
1981
Reduction of degenerate Lagrangian systems. Zbl 0621.58020
Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A.
29
1986
Linear connections for systems of second-order ordinary differential equations. Zbl 0912.58002
Crampin, M.; Martínez, E.; Sarlet, W.
24
1996
Affine bundles and integrable almost tangent structures. Zbl 0572.53031
Crampin, M.; Thompson, G.
24
1985
Towards a geometrical understanding of Douglas’s solution of the inverse problem of the calculus of variations. Zbl 0826.58015
Crampin, M.; Sarlet, W.; Martínez, E.; Byrnes, G. B.; Prince, G. E.
23
1994
The soliton connection. Zbl 0363.35032
Crampin, M.; Pirani, F. A. E.; Robinson, D. C.
22
1977
A new look at second-order equations and Lagrangian mechanics. Zbl 0542.58011
Sarlet, W.; Cantrijn, F.; Crampin, M.
20
1984
On the Legendre map in higher-order field theories. Zbl 0761.58006
Saunders, D. J.; Crampin, M.
19
1990
A class of nonconservative Lagrangian systems on Riemannian manifolds. Zbl 1063.70012
Crampin, M.; Sarlet, W.
18
2001
Adjoint symmetries for time-dependent second-order equations. Zbl 0713.58018
Sarlet, W.; Prince, G. E.; Crampin, M.
16
1990
Pseudo-symmetries, Noether’s theorem and the adjoint equation. Zbl 0623.58045
Sarlet, W.; Cantrijn, F.; Crampin, M.
16
1987
Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions. Zbl 0556.53044
Prince, G. E.; Crampin, M.
16
1984
Routh’s procedure for non-abelian symmetry groups. Zbl 1153.37396
Crampin, M.; Mestdag, T.
15
2008
Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton–Jacobi equation. Zbl 1026.70022
Crampin, M.
15
2003
The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations. Zbl 0922.58031
Sarlet, W.; Crampin, M.; Martínez, E.
15
1998
Constants of the motion in Lagrangian mechanics. Zbl 0386.70004
Crampin, M.
15
1977
Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors. Zbl 0967.37035
Crampin, M.; Sarlet, W.; Thompson, G.
14
2000
The Hilbert-Carathéodory form for parametric multiple integral problems in the calculus of variations. Zbl 1031.53106
Crampin, M.; Saunders, D. J.
11
2003
Anholonomic frames in constrained dynamics. Zbl 1200.37056
Crampin, M.; Mestdag, T.
10
2010
On the construction of Riemannian metrics for Berwald spaces by averaging. Zbl 1311.53016
Crampin, M.
9
2014
On null Lagrangians. Zbl 1073.70023
Crampin, M.; Saunders, D. J.
9
2005
Connections of Berwald type. Zbl 0980.53031
Crampin, M.
9
2000
Generalized Bianchi identities for horizontal distributions. Zbl 0521.53023
Crampin, M.
9
1983
The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem. Zbl 1243.70018
Crampin, M.; Mestdag, T.
8
2011
On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. Zbl 1241.70022
Crampin, Mike; Mestdag, Tom; Sarlet, Willy
8
2010
The Hilbert-Carathéodory and Poincaré-Cartan forms for higher-order multiple-integral variational problems. Zbl 1057.58008
Crampin, M.; Saunders, D. J.
8
2004
Bi-differential calculi and bi-Hamiltonian systems. Zbl 0989.37063
Crampin, M.; Sarlet, W.; Thompson, G.
8
2000
Hidden symmetries and Killing tensors. Zbl 0551.58019
Crampin, M.
8
1984
The multiplier approach to the projective Finsler metrizability problem. Zbl 1257.53105
Crampin, M.; Mestdag, T.; Saunders, D. J.
7
2012
The canonical isomorphism between \(T^ kT^*M\) and \(T^*T^ kM\). Zbl 0702.58006
Cantrijn, Frans; Crampin, Mike; Sarlet, Willy; Saunders, David
7
1989
Projective differential geometry and geodesic conservation laws in general relativity. II: Conservation laws. Zbl 0556.53045
Prince, G. E.; Crampin, M.
7
1984
The geodesic spray, the vertical projection, and Raychaudhuri’s equation. Zbl 0541.53012
Crampin, M.; Prince, G. E.
7
1984
Cartan geometries and their symmetries. A Lie algebroid approach. Zbl 1362.53006
Crampin, Mike; Saunders, David
6
2016
Hilbert forms for a Finsler metrizable projective class of sprays. Zbl 1262.53064
Crampin, M.; Mestdag, T.; Saunders, D. J.
6
2013
Some remarks on the Finslerian version of Hilbert’s fourth problem. Zbl 1228.53085
Crampin, M.
6
2011
Invariant Lagrangians, mechanical connections and the Lagrange-Poincaré equations. Zbl 1143.70010
Mestdag, T.; Crampin, M.
6
2008
The inverse problem for invariant Lagrangians on a Lie group. Zbl 1148.22004
Crampin, Mike; Mestdag, Tom
6
2008
Randers spaces with reversible geodesics. Zbl 1093.53029
Crampin, Mike
6
2005
Projectively equivalent Riemannian spaces as quasi-bi-Hamiltonian systems. Zbl 1040.53092
Crampin, M.
6
2003
The inverse problem of the calculus of variations: Separable systems. Zbl 0935.49017
Crampin, M.; Prince, G. E.; Sarlet, W.; Thompson, G.
6
1999
Alternative Lagrangians for spherically symmetric potentials. Zbl 0658.70023
Crampin, M.; Prince, G. E.
6
1988
Generalizing gauge variance for spherically symmetric potentials. Zbl 0578.58014
Crampin, M.; Prince, G. E.
6
1985
Representations of the Bondi-Metzner-Sachs group. III: Poincaré spin multiplicities and irreducibility. Zbl 0354.22020
McCarthy, P. J.; Crampin, M.
6
1973
On the inverse problem for sprays. Zbl 1127.53015
Crampin, Mike
5
2007
Projective connections. Zbl 1114.53014
Crampin, M.; Saunders, D. J.
5
2007
Cartan’s concept of duality for second-order ordinary differential equations. Zbl 1086.53023
Crampin, M.; Saunders, D. J.
5
2005
Bi-quasi-Hamiltonian systems. Zbl 1059.37038
Crampin, M.; Sarlet, W.
5
2002
Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle. Zbl 0699.53042
Crampin, M.; Cantrijn, F.; Sarlet, W.
5
1987
Graded Lie algebras of derivations and Ehresmann connections. Zbl 0615.53017
Crampin, M.; Ibort, L. A.
5
1987
The inverse problem for Lagrangian systems with certain non-conservative forces. Zbl 1330.70074
Mestdag, T.; Sarlet, W.; Crampin, M.
4
2011
Reduction and reconstruction aspects of second-order dynamical systems with symmetry. Zbl 1216.34007
Crampin, M.; Mestdag, T.
4
2009
Relative equilibria of Lagrangian systems with symmetry. Zbl 1188.70053
Crampin, M.; Mestdag, T.
4
2008
Evading the inverse problem for second-order ordinary differential equations by using additional variables. Zbl 0616.34008
Cantrijn, F.; Crampin, M.; Sarlet, W.
4
1987
A class of Finsler surfaces whose geodesics are circles. Zbl 1299.53144
Crampin, Mike; Mestdag, Tom
3
2014
On Landsberg spaces and the Landsberg-Berwald problem. Zbl 1239.53024
Crampin, M.
3
2011
Second-order dynamical systems of Lagrangian type with dissipation. Zbl 1222.70017
Mestdag, T.; Sarlet, W.; Crampin, M.
3
2011
Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033
Sarlet, W.; Prince, G. E.; Crampin, M.
3
2009
Affine and projective transformations of Berwald connections. Zbl 1158.53055
Crampin, M.; Saunders, D. J.
3
2007
Isotropic and R-flat sprays. Zbl 1125.53012
Crampin, M.
3
2007
The second variation formula in Lagrange and Finsler geometry. Zbl 0991.53013
Crampin, M.
3
2000
Lagrangian submanifolds and the Euler-Lagrange equations in higher-order mechanics. Zbl 0699.58037
Crampin, M.
3
1990
The sine-Gordon equation, Tchebyshev nets, and harmonic maps. Zbl 0638.58007
Crampin, M.; Saunders, D. J.
3
1986
2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations. Zbl 0496.35074
Crampin, M.; Hodgkin, L.; Robinson, David
3
1980
Holonomy of a class of bundles with fibre metrics. Zbl 1299.53145
Crampin, Mike; Saunders, David J.
2
2012
Homogeneity and projective equivalence of differential equation fields. Zbl 1368.70028
Crampin, Mike; Saunders, David
2
2012
The fundamental form of a homogeneous Lagrangian in two independent variables. Zbl 1207.58016
Saunders, D. J.; Crampin, M.
2
2010
Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions. Zbl 1177.49056
Crampin, M.; Saunders, D. J.
2
2009
Structural equations for a special class of conformal Killing tensors of arbitrary valence. Zbl 1159.53008
Crampin, M.
2
2008
Kähler and para-Kähler structures associated with Finsler spaces of non-zero constant flag curvature. Zbl 1149.53015
Crampin, M.
2
2008
Path geometries and almost Grassmann structures. Zbl 1168.53010
Crampin, Mike; Saunders, David J.
2
2007
On the geometry of higher-order ordinary differential equations and the Wünschmann invariant. Zbl 1123.53012
Crampin, M.; Saunders, D. J.
2
2006
On the orthogonal separation of variables in the Hamilton-Jacobi equation for geodesics in a Riemannian manifold. Zbl 1114.53038
Crampin, M.
2
2005
Some recent results on symmetries of Lagrangian systems re-examined. Zbl 0579.70018
Sarlet, W.; Crampin, M.
2
1985
A characterisation of higher-order Noether symmetries. Zbl 0574.58013
Sarlet, W.; Crampin, M.
2
1985
Representations of the Bondi-Metzner-Sachs group. IV: Cantoni representations are induced. Zbl 0368.22010
Crampin, M.; McCarthy, P. J.
2
1976
Finsler functions for two-dimensional sprays. Zbl 1349.53100
Crampin, Mike
1
2014
Reduction of invariant constrained systems using anholonomic frames. Zbl 1301.70009
Crampin, Mike; Mestdag, Tom
1
2011
Some concepts of regularity for parametric multiple-integral problems in the calculus of variations. Zbl 1224.58012
Crampin, M.; Saunders, D. J.
1
2009
Fefferman-type metrics and the projective geometry of sprays in two dimensions. Zbl 1119.53019
Crampin, M.; Saunders, D. J.
1
2007
The second-order ordinary differential equation: Cartan, Douglas, Berwald. Zbl 1065.34005
Crampin, M.
1
2004
The Morse index theorem for general end conditions. Zbl 1007.58008
Crampin, M.
1
2001
On the inverse problem of the calculus of variations for systems of second-order ordinary differential equations. Zbl 1094.49517
Crampin, M.
1
2000
Alternative Lagrangians in particle dynamics. Zbl 0666.58022
Crampin, M.
1
1987
Graphs in the plane invariant under an area preserving linear map and general continuous solutions of certain quadratic functional equations. Zbl 0566.39009
McCarthy, P. J.; Crampin, M.; Stephenson, W.
1
1985
A lifting theorem for compact symplectic manifolds. Zbl 0549.58016
Crampin, M.; McCarthy, P. J.
1
1983
On a geometrical property of the Bäcklund transformation of the sine- Gordon equation. Zbl 0392.53017
Crampin, M.; McCarthy, P. J.
1
1978
Cartan geometries and their symmetries. A Lie algebroid approach. Zbl 1362.53006
Crampin, Mike; Saunders, David
6
2016
On the construction of Riemannian metrics for Berwald spaces by averaging. Zbl 1311.53016
Crampin, M.
9
2014
A class of Finsler surfaces whose geodesics are circles. Zbl 1299.53144
Crampin, Mike; Mestdag, Tom
3
2014
Finsler functions for two-dimensional sprays. Zbl 1349.53100
Crampin, Mike
1
2014
Hilbert forms for a Finsler metrizable projective class of sprays. Zbl 1262.53064
Crampin, M.; Mestdag, T.; Saunders, D. J.
6
2013
The multiplier approach to the projective Finsler metrizability problem. Zbl 1257.53105
Crampin, M.; Mestdag, T.; Saunders, D. J.
7
2012
Holonomy of a class of bundles with fibre metrics. Zbl 1299.53145
Crampin, Mike; Saunders, David J.
2
2012
Homogeneity and projective equivalence of differential equation fields. Zbl 1368.70028
Crampin, Mike; Saunders, David
2
2012
The Cartan form for constrained Lagrangian systems and the nonholonomic Noether theorem. Zbl 1243.70018
Crampin, M.; Mestdag, T.
8
2011
Some remarks on the Finslerian version of Hilbert’s fourth problem. Zbl 1228.53085
Crampin, M.
6
2011
The inverse problem for Lagrangian systems with certain non-conservative forces. Zbl 1330.70074
Mestdag, T.; Sarlet, W.; Crampin, M.
4
2011
On Landsberg spaces and the Landsberg-Berwald problem. Zbl 1239.53024
Crampin, M.
3
2011
Second-order dynamical systems of Lagrangian type with dissipation. Zbl 1222.70017
Mestdag, T.; Sarlet, W.; Crampin, M.
3
2011
Reduction of invariant constrained systems using anholonomic frames. Zbl 1301.70009
Crampin, Mike; Mestdag, Tom
1
2011
Anholonomic frames in constrained dynamics. Zbl 1200.37056
Crampin, M.; Mestdag, T.
10
2010
On the generalized Helmholtz conditions for Lagrangian systems with dissipative forces. Zbl 1241.70022
Crampin, Mike; Mestdag, Tom; Sarlet, Willy
8
2010
The fundamental form of a homogeneous Lagrangian in two independent variables. Zbl 1207.58016
Saunders, D. J.; Crampin, M.
2
2010
Reduction and reconstruction aspects of second-order dynamical systems with symmetry. Zbl 1216.34007
Crampin, M.; Mestdag, T.
4
2009
Generalized submersiveness of second-order ordinary differential equations. Zbl 1191.37033
Sarlet, W.; Prince, G. E.; Crampin, M.
3
2009
Homotopy operators for the variational bicomplex, representations of the Euler-Lagrange complex, and the Helmholtz-Sonin conditions. Zbl 1177.49056
Crampin, M.; Saunders, D. J.
2
2009
Some concepts of regularity for parametric multiple-integral problems in the calculus of variations. Zbl 1224.58012
Crampin, M.; Saunders, D. J.
1
2009
Routh’s procedure for non-abelian symmetry groups. Zbl 1153.37396
Crampin, M.; Mestdag, T.
15
2008
Invariant Lagrangians, mechanical connections and the Lagrange-Poincaré equations. Zbl 1143.70010
Mestdag, T.; Crampin, M.
6
2008
The inverse problem for invariant Lagrangians on a Lie group. Zbl 1148.22004
Crampin, Mike; Mestdag, Tom
6
2008
Relative equilibria of Lagrangian systems with symmetry. Zbl 1188.70053
Crampin, M.; Mestdag, T.
4
2008
Structural equations for a special class of conformal Killing tensors of arbitrary valence. Zbl 1159.53008
Crampin, M.
2
2008
Kähler and para-Kähler structures associated with Finsler spaces of non-zero constant flag curvature. Zbl 1149.53015
Crampin, M.
2
2008
On the inverse problem for sprays. Zbl 1127.53015
Crampin, Mike
5
2007
Projective connections. Zbl 1114.53014
Crampin, M.; Saunders, D. J.
5
2007
Affine and projective transformations of Berwald connections. Zbl 1158.53055
Crampin, M.; Saunders, D. J.
3
2007
Isotropic and R-flat sprays. Zbl 1125.53012
Crampin, M.
3
2007
Path geometries and almost Grassmann structures. Zbl 1168.53010
Crampin, Mike; Saunders, David J.
2
2007
Fefferman-type metrics and the projective geometry of sprays in two dimensions. Zbl 1119.53019
Crampin, M.; Saunders, D. J.
1
2007
On the geometry of higher-order ordinary differential equations and the Wünschmann invariant. Zbl 1123.53012
Crampin, M.; Saunders, D. J.
2
2006
On null Lagrangians. Zbl 1073.70023
Crampin, M.; Saunders, D. J.
9
2005
Randers spaces with reversible geodesics. Zbl 1093.53029
Crampin, Mike
6
2005
Cartan’s concept of duality for second-order ordinary differential equations. Zbl 1086.53023
Crampin, M.; Saunders, D. J.
5
2005
On the orthogonal separation of variables in the Hamilton-Jacobi equation for geodesics in a Riemannian manifold. Zbl 1114.53038
Crampin, M.
2
2005
The Hilbert-Carathéodory and Poincaré-Cartan forms for higher-order multiple-integral variational problems. Zbl 1057.58008
Crampin, M.; Saunders, D. J.
8
2004
The second-order ordinary differential equation: Cartan, Douglas, Berwald. Zbl 1065.34005
Crampin, M.
1
2004
Conformal Killing tensors with vanishing torsion and the separation of variables in the Hamilton–Jacobi equation. Zbl 1026.70022
Crampin, M.
15
2003
The Hilbert-Carathéodory form for parametric multiple integral problems in the calculus of variations. Zbl 1031.53106
Crampin, M.; Saunders, D. J.
11
2003
Projectively equivalent Riemannian spaces as quasi-bi-Hamiltonian systems. Zbl 1040.53092
Crampin, M.
6
2003
Bi-quasi-Hamiltonian systems. Zbl 1059.37038
Crampin, M.; Sarlet, W.
5
2002
A class of nonconservative Lagrangian systems on Riemannian manifolds. Zbl 1063.70012
Crampin, M.; Sarlet, W.
18
2001
The Morse index theorem for general end conditions. Zbl 1007.58008
Crampin, M.
1
2001
Bi-differential calculi, bi-Hamiltonian systems and conformal Killing tensors. Zbl 0967.37035
Crampin, M.; Sarlet, W.; Thompson, G.
14
2000
Connections of Berwald type. Zbl 0980.53031
Crampin, M.
9
2000
Bi-differential calculi and bi-Hamiltonian systems. Zbl 0989.37063
Crampin, M.; Sarlet, W.; Thompson, G.
8
2000
The second variation formula in Lagrange and Finsler geometry. Zbl 0991.53013
Crampin, M.
3
2000
On the inverse problem of the calculus of variations for systems of second-order ordinary differential equations. Zbl 1094.49517
Crampin, M.
1
2000
The inverse problem of the calculus of variations: Separable systems. Zbl 0935.49017
Crampin, M.; Prince, G. E.; Sarlet, W.; Thompson, G.
6
1999
The integrability conditions in the inverse problem of the calculus of variations for second-order ordinary differential equations. Zbl 0922.58031
Sarlet, W.; Crampin, M.; Martínez, E.
15
1998
Linear connections for systems of second-order ordinary differential equations. Zbl 0912.58002
Crampin, M.; Martínez, E.; Sarlet, W.
24
1996
Towards a geometrical understanding of Douglas’s solution of the inverse problem of the calculus of variations. Zbl 0826.58015
Crampin, M.; Sarlet, W.; Martínez, E.; Byrnes, G. B.; Prince, G. E.
23
1994
On the multisymplectic formalism for first order field theories. Zbl 0782.58057
Cariñena, J. F.; Crampin, M.; Ibort, L. A.
67
1991
On the Legendre map in higher-order field theories. Zbl 0761.58006
Saunders, D. J.; Crampin, M.
19
1990
Adjoint symmetries for time-dependent second-order equations. Zbl 0713.58018
Sarlet, W.; Prince, G. E.; Crampin, M.
16
1990
Lagrangian submanifolds and the Euler-Lagrange equations in higher-order mechanics. Zbl 0699.58037
Crampin, M.
3
1990
The canonical isomorphism between \(T^ kT^*M\) and \(T^*T^ kM\). Zbl 0702.58006
Cantrijn, Frans; Crampin, Mike; Sarlet, Willy; Saunders, David
7
1989
Alternative Lagrangians for spherically symmetric potentials. Zbl 0658.70023
Crampin, M.; Prince, G. E.
6
1988
Pseudo-symmetries, Noether’s theorem and the adjoint equation. Zbl 0623.58045
Sarlet, W.; Cantrijn, F.; Crampin, M.
16
1987
Lifting geometric objects to a cotangent bundle, and the geometry of the cotangent bundle of a tangent bundle. Zbl 0699.53042
Crampin, M.; Cantrijn, F.; Sarlet, W.
5
1987
Graded Lie algebras of derivations and Ehresmann connections. Zbl 0615.53017
Crampin, M.; Ibort, L. A.
5
1987
Evading the inverse problem for second-order ordinary differential equations by using additional variables. Zbl 0616.34008
Cantrijn, F.; Crampin, M.; Sarlet, W.
4
1987
Alternative Lagrangians in particle dynamics. Zbl 0666.58022
Crampin, M.
1
1987
Applicable differential geometry. Zbl 0606.53001
Crampin, M.; Pirani, F. A. E.
54
1986
Higher-order differential equations and higher-order Lagrangian mechanics. Zbl 0609.58049
Crampin, M.; Sarlet, W.; Cantrijn, F.
42
1986
Reduction of degenerate Lagrangian systems. Zbl 0621.58020
Cantrijn, F.; Cariñena, J. F.; Crampin, M.; Ibort, L. A.
29
1986
The sine-Gordon equation, Tchebyshev nets, and harmonic maps. Zbl 0638.58007
Crampin, M.; Saunders, D. J.
3
1986
Affine bundles and integrable almost tangent structures. Zbl 0572.53031
Crampin, M.; Thompson, G.
24
1985
Generalizing gauge variance for spherically symmetric potentials. Zbl 0578.58014
Crampin, M.; Prince, G. E.
6
1985
Some recent results on symmetries of Lagrangian systems re-examined. Zbl 0579.70018
Sarlet, W.; Crampin, M.
2
1985
A characterisation of higher-order Noether symmetries. Zbl 0574.58013
Sarlet, W.; Crampin, M.
2
1985
Graphs in the plane invariant under an area preserving linear map and general continuous solutions of certain quadratic functional equations. Zbl 0566.39009
McCarthy, P. J.; Crampin, M.; Stephenson, W.
1
1985
A geometrical version of the Helmholtz conditions in time-dependent Lagrangian dynamics. Zbl 0545.58020
Crampin, M.; Prince, G. E.; Thompson, G.
46
1984
A new look at second-order equations and Lagrangian mechanics. Zbl 0542.58011
Sarlet, W.; Cantrijn, F.; Crampin, M.
20
1984
Projective differential geometry and geodesic conservation laws in general relativity. I: Projective actions. Zbl 0556.53044
Prince, G. E.; Crampin, M.
16
1984
Hidden symmetries and Killing tensors. Zbl 0551.58019
Crampin, M.
8
1984
Projective differential geometry and geodesic conservation laws in general relativity. II: Conservation laws. Zbl 0556.53045
Prince, G. E.; Crampin, M.
7
1984
The geodesic spray, the vertical projection, and Raychaudhuri’s equation. Zbl 0541.53012
Crampin, M.; Prince, G. E.
7
1984
Tangent bundle geometry for Lagrangian dynamics. Zbl 0536.58004
Crampin, M.
58
1983
Generalized Bianchi identities for horizontal distributions. Zbl 0521.53023
Crampin, M.
9
1983
A lifting theorem for compact symplectic manifolds. Zbl 0549.58016
Crampin, M.; McCarthy, P. J.
1
1983
On the differential geometry of the Euler-Lagrange equations and the inverse problem of Lagrangian dynamics. Zbl 0475.70022
Crampin, M.
36
1981
2-manifolds of constant curvature, 3-parameter isometry groups and Bäcklund transformations. Zbl 0496.35074
Crampin, M.; Hodgkin, L.; Robinson, David
3
1980
On a geometrical property of the Bäcklund transformation of the sine- Gordon equation. Zbl 0392.53017
Crampin, M.; McCarthy, P. J.
1
1978
The soliton connection. Zbl 0363.35032
Crampin, M.; Pirani, F. A. E.; Robinson, D. C.
22
1977
Constants of the motion in Lagrangian mechanics. Zbl 0386.70004
Crampin, M.
15
1977
Representations of the Bondi-Metzner-Sachs group. IV: Cantoni representations are induced. Zbl 0368.22010
Crampin, M.; McCarthy, P. J.
2
1976
Representations of the Bondi-Metzner-Sachs group. III: Poincaré spin multiplicities and irreducibility. Zbl 0354.22020
McCarthy, P. J.; Crampin, M.
6
1973
all top 5

Cited by 524 Authors

28 Crampin, Mike
27 de León Rodríguez, Manuel
25 Cariñena, José F.
23 Román-Roy, Narciso
21 Prince, Geoff E.
21 Sarlet, Willy
18 Bucataru, Ioan
16 Mestdag, Tom
15 Martín de Diego, David
14 Martínez Fernández, Eduardo
13 Cantrijn, Frans
12 Muñoz-Lecanda, Miguel C.
12 Saunders, David J.
12 Thompson, Gerard
11 Rañada, Manuel F.
10 Salgado, Modesto R.
10 Saunders, Daniel J.
9 Marmo, Giuseppe
9 Muzsnay, Zoltán
9 Rossi, Olga
8 Forger, Michael
7 Echeverría-Enríquez, Arturo
7 Guha, Partha
7 Tsamparlis, Michael
6 Colombo, Leonardo Jesus
6 Paliathanasis, Andronikos
5 Capriotti, Santiago
5 Caviglia, Giacomo
5 Cendra, Hernán
5 Gràcia, Xavier
5 Grillo, Sergio Daniel
5 Krupka, Demeter
5 Marrero, Juan Carlos
5 McLenaghan, Raymond G.
5 Muñoz Masqué, Jaime
5 Prieto-Martínez, Pedro Daniel
5 Urban, Zbyněk
5 Vankerschaver, Joris
5 Vilariño, Silvia
4 Fernández-Núñez, José
4 García-Toraño Andrés, Eduardo
4 Gaset, Jordi
4 Ibort, Alberto
4 Manno, Gianni
4 Massa, Enrico
4 Miron, Radu
4 Pagani, Enrico M.
4 Pasquero, Stefano
4 Popescu, Liviu Horia
4 Römer, Hartmann
4 Rosado María, Eugenia
3 Bayrakdar, Tuna
3 Błaszak, Maciej
3 Bua, Lucía
3 Constantinescu, Oana
3 Crampin, Michael
3 Dahl, Matias F.
3 Esen, Oğul
3 Ferrario, Carlo
3 Ferraro, Sebastián J.
3 Ghose Choudhury, Anindya
3 Gürses, Metin
3 Ibort, Luis Alberto
3 Jonasson, Jens
3 Jóźwikowski, Michał
3 Langerock, Bavo
3 Leok, Melvin
3 López, Carlos A.
3 Maia, Marcos D.
3 Marín-Solano, Jesús
3 Modugno, Marco
3 Morandi, Giuseppe
3 Paufler, Cornelius
3 Peyghan, Esmaeil
3 Pons, Josep M.
3 Puiggalí, Marta Farré
3 Rajaratnam, Krishan
3 Reyes, Enrique G.
3 Rogers, Christopher Lee
3 Rotkiewicz, Mikołaj
3 Shafiee, Mohammad Ali
3 Teresi, Luciano
3 Tsyganov, Andreĭ Vladimirovich
3 Vincze, Csaba
3 Vollmer, Andreas
2 Ahangari, Fatemeh
2 Aldridge, J. E.
2 Alessio, Francesco
2 Andrés, E. García-Toraño
2 Aycan, Cansel
2 Balseiro, Paula
2 Barbero-Liñán, María
2 Benenti, Sergio
2 Bloch, Anthony M.
2 Bluman, George W.
2 Boualem, Hassan
2 Brouzet, Robert
2 Buhe, Eerdun
2 Çağatay Uçgun, Filiz
2 Capistrano, Abraão J. S.
...and 424 more Authors
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Cited in 131 Serials

84 Journal of Mathematical Physics
52 Journal of Geometry and Physics
40 Differential Geometry and its Applications
39 International Journal of Geometric Methods in Modern Physics
23 Journal of Geometric Mechanics
18 Letters in Mathematical Physics
18 Reports on Mathematical Physics
13 General Relativity and Gravitation
13 International Journal of Theoretical Physics
11 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 Acta Applicandae Mathematicae
9 Annales de l’Institut Henri Poincaré. Physique Théorique
8 Mediterranean Journal of Mathematics
7 Communications in Mathematics
6 Communications in Mathematical Physics
5 Reviews in Mathematical Physics
5 Journal of Mathematical Sciences (New York)
4 Bulletin of the Australian Mathematical Society
4 Mathematical Proceedings of the Cambridge Philosophical Society
4 Advances in Mathematics
4 Journal of Differential Equations
4 Nonlinear Dynamics
4 Regular and Chaotic Dynamics
4 Journal of Nonlinear Mathematical Physics
3 Chaos, Solitons and Fractals
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Transactions of the American Mathematical Society
3 Acta Mathematica Hungarica
3 Annals of Physics
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Journal of Nonlinear Science
3 Journal of Physics A: Mathematical and Theoretical
3 European Journal of Mathematics
2 International Journal of Modern Physics A
2 Journal of Mathematical Analysis and Applications
2 Nuclear Physics. B
2 Czechoslovak Mathematical Journal
2 Journal of Geometry
2 Mathematical and Computer Modelling
2 Journal of Elasticity
2 Turkish Journal of Mathematics
2 Balkan Journal of Geometry and its Applications (BJGA)
2 Mathematics and Mechanics of Solids
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Mathematical Physics, Analysis and Geometry
2 Communications in Nonlinear Science and Numerical Simulation
2 Lobachevskii Journal of Mathematics
2 Nonlinear Analysis. Real World Applications
2 Theoretical and Applied Mechanics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
2 Symmetry
1 Modern Physics Letters A
1 Archive for Rational Mechanics and Analysis
1 Classical and Quantum Gravity
1 Computers & Mathematics with Applications
1 Computer Physics Communications
1 International Journal of Engineering Science
1 Journal of Engineering Mathematics
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Methods in the Applied Sciences
1 Physics Letters. A
1 Physics Reports
1 Theoretical and Mathematical Physics
1 Transport Theory and Statistical Physics
1 Annales de l’Institut Fourier
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Archivum Mathematicum
1 Automatica
1 BIT
1 Geometriae Dedicata
1 Journal of Computational and Applied Mathematics
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Mathematica Slovaca
1 Meccanica
1 Monatshefte für Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Proceedings of the American Mathematical Society
1 Rendiconti del Seminario Matematico della Università di Padova
1 Results in Mathematics
1 SIAM Journal on Control and Optimization
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Bulletin of the Korean Mathematical Society
1 Note di Matematica
1 Annals of Global Analysis and Geometry
1 Bulletin of the Iranian Mathematical Society
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Journal of Symbolic Computation
1 Forum Mathematicum
1 International Journal of Mathematics
1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
1 Mathematica Bohemica
1 International Journal of Foundations of Computer Science
1 The Journal of Geometric Analysis
1 Applied Mathematical Modelling
1 International Journal of Computer Mathematics
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Chinese Science Bulletin
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
...and 31 more Serials
all top 5

Cited in 38 Fields

271 Mechanics of particles and systems (70-XX)
245 Differential geometry (53-XX)
151 Dynamical systems and ergodic theory (37-XX)
133 Global analysis, analysis on manifolds (58-XX)
53 Partial differential equations (35-XX)
53 Calculus of variations and optimal control; optimization (49-XX)
48 Ordinary differential equations (34-XX)
40 Relativity and gravitational theory (83-XX)
34 Quantum theory (81-XX)
19 Topological groups, Lie groups (22-XX)
12 Nonassociative rings and algebras (17-XX)
10 Mechanics of deformable solids (74-XX)
6 Algebraic topology (55-XX)
5 Fluid mechanics (76-XX)
4 Algebraic geometry (14-XX)
4 Category theory; homological algebra (18-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Manifolds and cell complexes (57-XX)
4 Systems theory; control (93-XX)
3 Number theory (11-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Operator theory (47-XX)
3 Geometry (51-XX)
3 Convex and discrete geometry (52-XX)
3 Numerical analysis (65-XX)
3 Optics, electromagnetic theory (78-XX)
2 General and overarching topics; collections (00-XX)
2 Functional analysis (46-XX)
2 Computer science (68-XX)
1 History and biography (01-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Astronomy and astrophysics (85-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year