Edit Profile (opens in new tab) McLenaghan, Raymond G. Compute Distance To: Compute Author ID: mclenaghan.raymond-g Published as: McLenaghan, R. G.; McLenaghan, Raymond G.; Mclenaghan, Raymond G. more...less External Links: MGP · Wikidata Documents Indexed: 93 Publications since 1968 1 Contribution as Editor · 1 Further Contribution Co-Authors: 53 Co-Authors with 86 Joint Publications 517 Co-Co-Authors all top 5 Co-Authors 6 single-authored 20 Smirnov, Roman G. 9 Kamran, Niky 8 Carminati, John 8 Czapor, Stephanie R. 6 Horwood, Joshua T. 6 The, Dennis 5 Debever, Robert 5 Fatibene, Lorenzo 5 Rastelli, Giovanni 4 Anderson, Warren G. 4 Sasse, Fernando D. 4 Valero, Carlos 3 Bruce, Aaron T. 3 Geddes, Keith O. 3 Kavian, Masoud 3 Rajaratnam, Krishan 3 Williams, George C. 2 Chanachowicz, Mark 2 Chanu, Claudia Maria 2 Cochran, Caroline M. 2 Fee, Greg J. 2 Ferraris, Marco 2 Letniowski, Frank W. 2 Smith, Shane N. 2 Walker, David M. 2 Walton, T. F. 1 Adlam, Caroline M. 1 Cahen, Michel 1 Carignano, Alberto 1 Carloni, Sante 1 Chang, Dong Eui 1 Chanu, C. 1 Chu, Kenneth C.-K. 1 Deeley, Robin J. 1 Degiovanni, Luca 1 Deruelle, Nathalie 1 Farell, Cesar E. 1 Francaviglia, Mauro 1 Guenin, Marcel 1 Gutt, Simone 1 Iglesias-Zemmour, Patrick 1 Kachura, A. T. 1 Kalnins, Ernest G. 1 Klamkin, Murray Seymour 1 Légaré, Martin 1 Lichnerowicz, Andre 1 MacArthur, Joshua D. 1 MacCallum, Malcolm A. H. 1 Magnon-Ashtekar, Anne 1 McCrea, J. Dermott 1 Milson, Robert 1 Modugno, Marco 1 Pinto, Paolo 1 Pommaret, Jean-Francois 1 Skea, James E. F. 1 Souriau, Jean-Marie 1 Spindel, Philippe 1 Tafflin, Eric 1 Tariq, N. 1 Teyssandier, Pierre 1 Thompson, Alan H. 1 Tourrenc, Philippe 1 Van den Bergh, Norbert 1 Winternitz, Robert S. 1 Wünsch, Volkmar 1 Zakhary, E. all top 5 Serials 21 Journal of Mathematical Physics 11 Annales de l’Institut Henri Poincaré. Physique Théorique 7 General Relativity and Gravitation 5 Bulletin de la Classe des Sciences. 5e Série 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Geometry and Physics 3 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Letters in Mathematical Physics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences 1 Classical and Quantum Gravity 1 Communications in Mathematical Physics 1 Reports on Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics Magazine 1 IEEE Transactions on Automatic Control 1 Comptes Rendus Mathématiques de l’Académie des Sciences 1 Applied Mathematics Letters 1 Bulletin de la Société Mathématique de Belgique. Série A 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Physical Review D. Series III 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Cambridge Philosophical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A all top 5 Fields 62 Differential geometry (53-XX) 43 Relativity and gravitational theory (83-XX) 29 Partial differential equations (35-XX) 28 Mechanics of particles and systems (70-XX) 14 Dynamical systems and ergodic theory (37-XX) 13 Global analysis, analysis on manifolds (58-XX) 13 Quantum theory (81-XX) 7 Computer science (68-XX) 2 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 77 Publications have been cited 589 times in 268 Documents Cited by ▼ Year ▼ Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space. Zbl 0736.76081Carminati, J.; McLenaghan, R. G. 32 1991 Separation of variables and symmetry opertors for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences. Zbl 0900.53030Kamran, N.; McLenaghan, R. G. 32 1984 An explicit determination of the empty space-times on which the wave equation satisfies Huygens’ principle. Zbl 0182.13403McLenaghan, R. G. 23 1969 Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space. Zbl 1088.37029Horwood, Joshua T.; McLenaghan, Raymond G.; Smirnov, Roman G. 22 2005 Orthogonal transitivity, invertibility, and null geodesic separability in type D electrovac solutions of Einstein’s field equations with cosmological constant. Zbl 0467.53016Debever, R.; McLenaghan, R. G. 22 1981 Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the \(\roman O(4)\)-symmetric Yang-Mills theories of Yatsun. Zbl 1059.37041McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 21 2002 An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics. Zbl 1070.37036McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 20 2004 Complex recurrent space-times. Zbl 0243.53030McLenaghan, R. G.; Leroy, J. 20 1972 Riemannian-Maxwellian invertible structures in general relativity. Zbl 0432.53009Debever, R.; McLenaghan, R. G.; Tariq, N. 19 1979 Geometrical classification of Killing tensors on bidimensional flat manifolds. Zbl 1112.53008Chanu, C.; Degiovanni, L.; McLenaghan, R. G. 17 2006 Killing tensors as irreducible representations of the general linear group. Zbl 1086.53071Mclenaghan, Raymond G.; Milson, Robert; Smirnov, Roman G. 16 2004 An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. Zbl 0595.35067Carminati, J.; McLenaghan, R. G. 16 1986 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. II: Petrov type D space-times. Zbl 0694.35074Carminati, J.; McLenaghan, R. G. 16 1987 On the validity of Huygens’ principle for second order partial differential equations with four independent variables. I: Derivation of necessary conditions. Zbl 0287.35058McLenaghan, R. G. 15 1974 Huygens’ principle. Zbl 0528.35057McLenaghan, R. G. 15 1982 Generalized symmetries in mechanics and field theories. Zbl 1059.70021Fatibene, L.; Ferraris, M.; Francaviglia, M.; McLenaghan, R. G. 14 2002 A geometrical approach to the problem of integrability of Hamiltonian systems by separation of variables. Zbl 1012.70013Bruce, Aaron T.; McLenaghan, Raymond G.; Smirnov, Roman G. 11 2001 Symmetry operators for neutrino and Dirac fields on curved spacetime. Zbl 0900.58052Kamran, N.; McLenaghan, R. G. 11 1984 NP: A maple package for performing calculations in the Newman-Penrose formalism. Zbl 0613.53033Czapor, S. R.; McLenaghan, R. G. 11 1987 Hamilton-Jacobi theory in three-dimensional Minkowski space via Cartan geometry. Zbl 1187.37095Horwood, Joshua T.; McLenaghan, Raymond G.; Smirnov, Roman G. 10 2009 An explicit determination of the non-self-adjoint wave equations on curved space-time that satisfy Huygens’ principle. I: Petrov type N background space-times. Zbl 0645.53047McLenaghan, R. G.; Walton, T. F. 9 1988 Intrinsic characterizations of orthogonal separability for natural Hamiltonians with scalar potentials on pseudo-Riemannian spaces. Zbl 1362.37119McLenaghan, Raymond G.; Smirnov, Roman G. 9 2002 Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation. Zbl 1288.35191Rajaratnam, Krishan; McLenaghan, Raymond G. 9 2014 The automatic conversion of spinor equations to dyad form in MAPLE. Zbl 0758.53047Czapor, S. R.; McLenaghan, R. G.; Carminati, J. 8 1992 Symmetry operators for Maxwell’s equations on curved space-time. Zbl 0776.53051Kalnins, E. G.; McLenaghan, R. G.; Williams, G. C. 8 1992 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. III: Petrov type III space-times. Zbl 0706.35131Carminati, J.; McLenaghan, R. G. 8 1988 An explicit determination of the Petrov type D space-times on which Weyl’s neutrino equation and Maxwell’s equations satisfy Huygens’ principle. Zbl 0709.53053McLenaghan, R. G.; Williams, G. C. 8 1990 Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature. Zbl 1357.53039Rajaratnam, Krishan; McLenaghan, Raymond G.; Valero, Carlos 8 2016 Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time. Zbl 0521.53036Kamran, N.; McLenaghan, R. G. 8 1983 A class of Liouville-integrable Hamiltonian systems with two degrees of freedom. Zbl 0990.37044McLenaghan, Raymond G.; Smirnov, Roman G. 7 2000 Equivalence problem for the orthogonal webs on the 3-sphere. Zbl 1317.35011Cochran, Caroline M.; McLenaghan, Raymond G.; Smirnov, Roman G. 7 2011 Orthogonal transitivity, invertibility and null geodesic separability in type D vacuum solutions of Einstein’s field equations with cosmological constant. Zbl 0495.53023Czapor, S. R.; McLenaghan, R. G. 7 1982 An improved algorithm for quadratic equation classification and Petrov classification. Zbl 0642.53078Letniowski, F. W.; McLenaghan, R. G. 7 1988 Theory of algebraic invariants of Killing tensors. Zbl 1094.53025Deeley, R. J.; Horwood, J. T.; McLenaghan, R. G.; Smirnov, R. G. 6 2004 Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space. Zbl 1153.81377Horwood, Joshua T.; McLenaghan, Raymond G. 6 2008 Some new results on the validity of Huygens’ principle for the scalar wave equation on a curved space-time. Zbl 0557.53046Carminati, J.; McLenaghan, R. G. 6 1984 On geometric properties of joint invariants of Killing tensors. Zbl 1140.53009Adlam, Caroline M.; McLenaghan, Raymond G.; Smirnov, Roman G. 5 2008 Consequences of the validity of Huygens’ principle for the conformally invariant scalar wave equation, Weyl’s neutrino equation and Maxwell’s equations on Petrov type II space-times. Zbl 0729.35075Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. 5 1991 On the problem of algebraic completeness for the invariants of the Riemann tensor. II. Zbl 1052.53021Carminati, J.; Zakhary, E.; McLenaghan, R. G. 4 2002 On Huygens’ principle for relativistic wave equations. Zbl 0765.35056Anderson, W. G.; McLenaghan, R. G. 4 1993 Transformation to pseudo-Cartesian coordinates in locally flat pseudo-Riemannian spaces. Zbl 1117.53016Horwood, Joshua T.; McLenaghan, Raymond G. 4 2007 Invariant classification of the rotationally symmetric \(R\)-separable webs for the Laplace equation in Euclidean space. Zbl 1153.81337Chanachowicz, Mark; Chanu, Claudia M.; McLenaghan, Raymond G. 4 2008 Fundamental covariants in the invariant theory of Killing tensors. Zbl 1136.53304Horwood, J. T.; McLenaghan, R. G.; Smirnov, R. G.; The, D. 4 2005 On the validity of Huygens’ principle for second order partial differential equations with four independent variables. II: A sixth necessary condition. Zbl 0806.35104Anderson, W. G.; McLenaghan, R. G. 4 1994 Métriques des espaces lorentiziens symétriques à quatre dimensions. Zbl 0172.27904Cahen, Michel; McLenaghan, R. G. 4 1968 Nonexistence of Petrov type III space-times on which Weyl’s neutrino equation or Maxwell’s equations satisfy Huygens’ principle. Zbl 0869.53061McLenaghan, R. G.; Sasse, F. D. 4 1996 Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature. Zbl 1297.53034Rajaratnam, Krishan; McLenaghan, Raymond G. 4 2014 Geometric criteria for the quasi-linearization of the equations of motion of mechanical systems. Zbl 1369.93146Chang, Dong Eui; McLenaghan, Raymond G. 4 2013 Algebraic computing in general relativity. Lecture notes from the first Brazilian school on computer algebra, held in Rio de Janeiro, Brazil, July 24-August 11, 1989. Volume 2. Zbl 0816.00033 3 1994 Symmetry operators for \(\text{spin-}\frac12\) relativistic wave equations on curved space-time. Zbl 1048.83017McLenaghan, R. G.; Smith, S. N.; Walker, D. M. 3 2000 Towards a classification of cubic integrals of motion. Zbl 1318.70015McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 3 2004 Spacetimes admitting Killing 2-spinors. Zbl 0807.53009McLenaghan, R. G.; Van den Bergh, N. 3 1993 Separation of variables and symmetry operators for the conformally invariant Klein-Gordon equation on curved spacetime. Zbl 0576.53051Kamran, N.; McLenaghan, R. G. 3 1985 An ellipse inequality. Zbl 0383.26008Klamkin, Murray S.; McLenaghan, R. G. 3 1977 An explicit determination of the non-self-adjoint wave equations that satisfy Huygens’ principle on Petrov type III background space-times. Zbl 0885.35062Anderson, W. G.; McLenaghan, R. G.; Walton, T. F. 3 1997 Maple Tensor: a new system for performing indicial and component tensor calculations by computer. Zbl 0883.53061Kavian, Masoud; McLenaghan, R. G.; Geddes, K. O. 3 1997 Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space. Zbl 1416.53013Cochran, Caroline M.; McLenaghan, Raymond G.; Smirnov, Roman G. 3 2017 MapleTensor: progress report on a new system for performing indicial and component tensor calculations using symbolic computation. Zbl 0923.53002Kavian, Masoud; McLenaghan, R. G.; Geddes, K. O. 2 1996 Separability of the Toda lattice. Zbl 0984.37070McLenaghan, R. G.; Smirnov, R. G. 2 2000 Group invariant classification of orthogonal coordinate webs. Zbl 1054.53030McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 2 2003 A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory. Zbl 1099.37513Bruce, A. T.; McLenaghan, R. G.; Smirnov, R. G. 2 2001 Complete separability of the Hamilton-Jacobi equation for the charged particle orbits in a Liénard-Wiechert field. Zbl 1472.70041McLenaghan, Raymond G.; Rastelli, Giovanni; Valero, Carlos 2 2020 Symmetry operators for Dirac’s equation on two-dimensional spin manifolds. Zbl 1187.81102Fatibene, Lorenzo; McLenaghan, Raymond G.; Rastelli, Giovanni; Smith, Shane N. 2 2009 Separating of variables and constants of the motion for the Dirac equation on curved spacetime. Zbl 0579.53049Kamran, N.; McLenaghan, R. G. 2 1984 Nonexistence of Petrov type III space-times on which Weyl’s neutrino equation and Maxwell’s equations satisfy Huygens’ principle. Zbl 0885.53078McLenaghan, R. G.; Sasse, Fernando D. 2 1997 Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces. Zbl 1415.53057Valero, Carlos; McLenaghan, Raymond G. 1 2019 Conformal C and empty spaces of Petrov type \(N\). Zbl 1029.83008Czapor, S. R.; McLenaghan, R. G.; Wünsch, V. 1 2002 Benenti’s theorem and the method of moving frames. Zbl 1006.37030Bruce, Aaron T.; McLenaghan, Raymond G.; Smirnov, Roman G. 1 2001 Application of genetic algorithms to the algebraic simplification of tensor polynomials. Zbl 0936.53003Kavian, M.; McLenaghan, R. G.; Geddes, K. O. 1 1997 Huygens’ principle for the non-self-adjoint scalar wave equation on Petrov type III space-times. Zbl 0956.83005Anderson, W. G.; McLenaghan, R. G.; Sasse, F. D. 1 1999 Complete solution of Hadamard’s problem for the scalar wave equation on Petrov type III space-times. Zbl 0951.35131Czapor, S. R.; McLenaghan, R. G.; Sasse, F. D. 1 1999 MAPLE applications to general relativity. Zbl 0829.53059McLenaghan, R. G. 1 1994 \(R\)-separation of variables for the conformally invariant Laplace-Beltrami equation. Zbl 1169.58012Chanachowicz, Mark; Chanu, Claudia M.; McLenaghan, Raymond G. 1 2009 The 1881 problem of Morera revisited. Zbl 1055.70007McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 1 2001 Separation of variables for systems of first-order partial differential equations and the Dirac equation in two-dimensional manifolds. Zbl 1153.35377McLenaghan, Raymond G.; Rastelli, Giovanni 1 2008 Symmetry operators and separation of variables for Dirac’s equation on two-dimensional spin manifolds. Zbl 1248.81033Carignano, Alberto; Fatibene, Lorenzo; Mclenaghan, Raymond G.; Rastelli, Giovanni 1 2011 Sur l’intégration complete des équations d’Einstein du vide et de Maxwell-Einstein, en type D. Zbl 0525.53037Debever, Robert; Kamran, Niky; McLenaghan, Raymond G. 1 1982 Complete separability of the Hamilton-Jacobi equation for the charged particle orbits in a Liénard-Wiechert field. Zbl 1472.70041McLenaghan, Raymond G.; Rastelli, Giovanni; Valero, Carlos 2 2020 Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces. Zbl 1415.53057Valero, Carlos; McLenaghan, Raymond G. 1 2019 Equivalence problem for the orthogonal separable webs in 3-dimensional hyperbolic space. Zbl 1416.53013Cochran, Caroline M.; McLenaghan, Raymond G.; Smirnov, Roman G. 3 2017 Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature. Zbl 1357.53039Rajaratnam, Krishan; McLenaghan, Raymond G.; Valero, Carlos 8 2016 Killing tensors, warped products and the orthogonal separation of the Hamilton-Jacobi equation. Zbl 1288.35191Rajaratnam, Krishan; McLenaghan, Raymond G. 9 2014 Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature. Zbl 1297.53034Rajaratnam, Krishan; McLenaghan, Raymond G. 4 2014 Geometric criteria for the quasi-linearization of the equations of motion of mechanical systems. Zbl 1369.93146Chang, Dong Eui; McLenaghan, Raymond G. 4 2013 Equivalence problem for the orthogonal webs on the 3-sphere. Zbl 1317.35011Cochran, Caroline M.; McLenaghan, Raymond G.; Smirnov, Roman G. 7 2011 Symmetry operators and separation of variables for Dirac’s equation on two-dimensional spin manifolds. Zbl 1248.81033Carignano, Alberto; Fatibene, Lorenzo; Mclenaghan, Raymond G.; Rastelli, Giovanni 1 2011 Hamilton-Jacobi theory in three-dimensional Minkowski space via Cartan geometry. Zbl 1187.37095Horwood, Joshua T.; McLenaghan, Raymond G.; Smirnov, Roman G. 10 2009 Symmetry operators for Dirac’s equation on two-dimensional spin manifolds. Zbl 1187.81102Fatibene, Lorenzo; McLenaghan, Raymond G.; Rastelli, Giovanni; Smith, Shane N. 2 2009 \(R\)-separation of variables for the conformally invariant Laplace-Beltrami equation. Zbl 1169.58012Chanachowicz, Mark; Chanu, Claudia M.; McLenaghan, Raymond G. 1 2009 Orthogonal separation of variables for the Hamilton-Jacobi and wave equations in three-dimensional Minkowski space. Zbl 1153.81377Horwood, Joshua T.; McLenaghan, Raymond G. 6 2008 On geometric properties of joint invariants of Killing tensors. Zbl 1140.53009Adlam, Caroline M.; McLenaghan, Raymond G.; Smirnov, Roman G. 5 2008 Invariant classification of the rotationally symmetric \(R\)-separable webs for the Laplace equation in Euclidean space. Zbl 1153.81337Chanachowicz, Mark; Chanu, Claudia M.; McLenaghan, Raymond G. 4 2008 Separation of variables for systems of first-order partial differential equations and the Dirac equation in two-dimensional manifolds. Zbl 1153.35377McLenaghan, Raymond G.; Rastelli, Giovanni 1 2008 Transformation to pseudo-Cartesian coordinates in locally flat pseudo-Riemannian spaces. Zbl 1117.53016Horwood, Joshua T.; McLenaghan, Raymond G. 4 2007 Geometrical classification of Killing tensors on bidimensional flat manifolds. Zbl 1112.53008Chanu, C.; Degiovanni, L.; McLenaghan, R. G. 17 2006 Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space. Zbl 1088.37029Horwood, Joshua T.; McLenaghan, Raymond G.; Smirnov, Roman G. 22 2005 Fundamental covariants in the invariant theory of Killing tensors. Zbl 1136.53304Horwood, J. T.; McLenaghan, R. G.; Smirnov, R. G.; The, D. 4 2005 An extension of the classical theory of algebraic invariants to pseudo-Riemannian geometry and Hamiltonian mechanics. Zbl 1070.37036McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 20 2004 Killing tensors as irreducible representations of the general linear group. Zbl 1086.53071Mclenaghan, Raymond G.; Milson, Robert; Smirnov, Roman G. 16 2004 Theory of algebraic invariants of Killing tensors. Zbl 1094.53025Deeley, R. J.; Horwood, J. T.; McLenaghan, R. G.; Smirnov, R. G. 6 2004 Towards a classification of cubic integrals of motion. Zbl 1318.70015McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 3 2004 Group invariant classification of orthogonal coordinate webs. Zbl 1054.53030McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 2 2003 Group invariant classification of separable Hamiltonian systems in the Euclidean plane and the \(\roman O(4)\)-symmetric Yang-Mills theories of Yatsun. Zbl 1059.37041McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 21 2002 Generalized symmetries in mechanics and field theories. Zbl 1059.70021Fatibene, L.; Ferraris, M.; Francaviglia, M.; McLenaghan, R. G. 14 2002 Intrinsic characterizations of orthogonal separability for natural Hamiltonians with scalar potentials on pseudo-Riemannian spaces. Zbl 1362.37119McLenaghan, Raymond G.; Smirnov, Roman G. 9 2002 On the problem of algebraic completeness for the invariants of the Riemann tensor. II. Zbl 1052.53021Carminati, J.; Zakhary, E.; McLenaghan, R. G. 4 2002 Conformal C and empty spaces of Petrov type \(N\). Zbl 1029.83008Czapor, S. R.; McLenaghan, R. G.; Wünsch, V. 1 2002 A geometrical approach to the problem of integrability of Hamiltonian systems by separation of variables. Zbl 1012.70013Bruce, Aaron T.; McLenaghan, Raymond G.; Smirnov, Roman G. 11 2001 A systematic study of the Toda lattice in the context of the Hamilton-Jacobi theory. Zbl 1099.37513Bruce, A. T.; McLenaghan, R. G.; Smirnov, R. G. 2 2001 Benenti’s theorem and the method of moving frames. Zbl 1006.37030Bruce, Aaron T.; McLenaghan, Raymond G.; Smirnov, Roman G. 1 2001 The 1881 problem of Morera revisited. Zbl 1055.70007McLenaghan, Raymond G.; Smirnov, Roman G.; The, Dennis 1 2001 A class of Liouville-integrable Hamiltonian systems with two degrees of freedom. Zbl 0990.37044McLenaghan, Raymond G.; Smirnov, Roman G. 7 2000 Symmetry operators for \(\text{spin-}\frac12\) relativistic wave equations on curved space-time. Zbl 1048.83017McLenaghan, R. G.; Smith, S. N.; Walker, D. M. 3 2000 Separability of the Toda lattice. Zbl 0984.37070McLenaghan, R. G.; Smirnov, R. G. 2 2000 Huygens’ principle for the non-self-adjoint scalar wave equation on Petrov type III space-times. Zbl 0956.83005Anderson, W. G.; McLenaghan, R. G.; Sasse, F. D. 1 1999 Complete solution of Hadamard’s problem for the scalar wave equation on Petrov type III space-times. Zbl 0951.35131Czapor, S. R.; McLenaghan, R. G.; Sasse, F. D. 1 1999 An explicit determination of the non-self-adjoint wave equations that satisfy Huygens’ principle on Petrov type III background space-times. Zbl 0885.35062Anderson, W. G.; McLenaghan, R. G.; Walton, T. F. 3 1997 Maple Tensor: a new system for performing indicial and component tensor calculations by computer. Zbl 0883.53061Kavian, Masoud; McLenaghan, R. G.; Geddes, K. O. 3 1997 Nonexistence of Petrov type III space-times on which Weyl’s neutrino equation and Maxwell’s equations satisfy Huygens’ principle. Zbl 0885.53078McLenaghan, R. G.; Sasse, Fernando D. 2 1997 Application of genetic algorithms to the algebraic simplification of tensor polynomials. Zbl 0936.53003Kavian, M.; McLenaghan, R. G.; Geddes, K. O. 1 1997 Nonexistence of Petrov type III space-times on which Weyl’s neutrino equation or Maxwell’s equations satisfy Huygens’ principle. Zbl 0869.53061McLenaghan, R. G.; Sasse, F. D. 4 1996 MapleTensor: progress report on a new system for performing indicial and component tensor calculations using symbolic computation. Zbl 0923.53002Kavian, Masoud; McLenaghan, R. G.; Geddes, K. O. 2 1996 On the validity of Huygens’ principle for second order partial differential equations with four independent variables. II: A sixth necessary condition. Zbl 0806.35104Anderson, W. G.; McLenaghan, R. G. 4 1994 Algebraic computing in general relativity. Lecture notes from the first Brazilian school on computer algebra, held in Rio de Janeiro, Brazil, July 24-August 11, 1989. Volume 2. Zbl 0816.00033 3 1994 MAPLE applications to general relativity. Zbl 0829.53059McLenaghan, R. G. 1 1994 On Huygens’ principle for relativistic wave equations. Zbl 0765.35056Anderson, W. G.; McLenaghan, R. G. 4 1993 Spacetimes admitting Killing 2-spinors. Zbl 0807.53009McLenaghan, R. G.; Van den Bergh, N. 3 1993 The automatic conversion of spinor equations to dyad form in MAPLE. Zbl 0758.53047Czapor, S. R.; McLenaghan, R. G.; Carminati, J. 8 1992 Symmetry operators for Maxwell’s equations on curved space-time. Zbl 0776.53051Kalnins, E. G.; McLenaghan, R. G.; Williams, G. C. 8 1992 Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space. Zbl 0736.76081Carminati, J.; McLenaghan, R. G. 32 1991 Consequences of the validity of Huygens’ principle for the conformally invariant scalar wave equation, Weyl’s neutrino equation and Maxwell’s equations on Petrov type II space-times. Zbl 0729.35075Carminati, J.; Czapor, S. R.; McLenaghan, R. G.; Williams, G. C. 5 1991 An explicit determination of the Petrov type D space-times on which Weyl’s neutrino equation and Maxwell’s equations satisfy Huygens’ principle. Zbl 0709.53053McLenaghan, R. G.; Williams, G. C. 8 1990 An explicit determination of the non-self-adjoint wave equations on curved space-time that satisfy Huygens’ principle. I: Petrov type N background space-times. Zbl 0645.53047McLenaghan, R. G.; Walton, T. F. 9 1988 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. III: Petrov type III space-times. Zbl 0706.35131Carminati, J.; McLenaghan, R. G. 8 1988 An improved algorithm for quadratic equation classification and Petrov classification. Zbl 0642.53078Letniowski, F. W.; McLenaghan, R. G. 7 1988 An explicit determination of the space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. II: Petrov type D space-times. Zbl 0694.35074Carminati, J.; McLenaghan, R. G. 16 1987 NP: A maple package for performing calculations in the Newman-Penrose formalism. Zbl 0613.53033Czapor, S. R.; McLenaghan, R. G. 11 1987 An explicit determination of the Petrov type N space-times on which the conformally invariant scalar wave equation satisfies Huygens’ principle. Zbl 0595.35067Carminati, J.; McLenaghan, R. G. 16 1986 Separation of variables and symmetry operators for the conformally invariant Klein-Gordon equation on curved spacetime. Zbl 0576.53051Kamran, N.; McLenaghan, R. G. 3 1985 Separation of variables and symmetry opertors for the neutrino and Dirac equations in the space-times admitting a two-parameter abelian orthogonally transitive isometry group and a pair of shearfree geodesic null congruences. Zbl 0900.53030Kamran, N.; McLenaghan, R. G. 32 1984 Symmetry operators for neutrino and Dirac fields on curved spacetime. Zbl 0900.58052Kamran, N.; McLenaghan, R. G. 11 1984 Some new results on the validity of Huygens’ principle for the scalar wave equation on a curved space-time. Zbl 0557.53046Carminati, J.; McLenaghan, R. G. 6 1984 Separating of variables and constants of the motion for the Dirac equation on curved spacetime. Zbl 0579.53049Kamran, N.; McLenaghan, R. G. 2 1984 Separation of variables and quantum numbers for Weyl neutrino fields on curved space-time. Zbl 0521.53036Kamran, N.; McLenaghan, R. G. 8 1983 Huygens’ principle. Zbl 0528.35057McLenaghan, R. G. 15 1982 Orthogonal transitivity, invertibility and null geodesic separability in type D vacuum solutions of Einstein’s field equations with cosmological constant. Zbl 0495.53023Czapor, S. R.; McLenaghan, R. G. 7 1982 Sur l’intégration complete des équations d’Einstein du vide et de Maxwell-Einstein, en type D. Zbl 0525.53037Debever, Robert; Kamran, Niky; McLenaghan, Raymond G. 1 1982 Orthogonal transitivity, invertibility, and null geodesic separability in type D electrovac solutions of Einstein’s field equations with cosmological constant. Zbl 0467.53016Debever, R.; McLenaghan, R. G. 22 1981 Riemannian-Maxwellian invertible structures in general relativity. Zbl 0432.53009Debever, R.; McLenaghan, R. G.; Tariq, N. 19 1979 An ellipse inequality. Zbl 0383.26008Klamkin, Murray S.; McLenaghan, R. G. 3 1977 On the validity of Huygens’ principle for second order partial differential equations with four independent variables. I: Derivation of necessary conditions. Zbl 0287.35058McLenaghan, R. G. 15 1974 Complex recurrent space-times. Zbl 0243.53030McLenaghan, R. G.; Leroy, J. 20 1972 An explicit determination of the empty space-times on which the wave equation satisfies Huygens’ principle. Zbl 0182.13403McLenaghan, R. G. 23 1969 Métriques des espaces lorentiziens symétriques à quatre dimensions. Zbl 0172.27904Cahen, Michel; McLenaghan, R. G. 4 1968 all cited Publications top 5 cited Publications all top 5 Cited by 292 Authors 52 McLenaghan, Raymond G. 15 Carminati, John 15 Smirnov, Roman G. 9 Kamran, Niky 8 Wünsch, Volkmar 7 Fatibene, Lorenzo 7 Rastelli, Giovanni 6 Czapor, Stephanie R. 6 Horwood, Joshua T. 5 Belinchón, José Antonio 5 Francaviglia, Mauro 5 Kalnins, Ernest G. 5 Miller, Willard jun. 5 Rañada, Manuel F. 5 Tsamparlis, Michael 4 Chanu, Claudia Maria 4 Degiovanni, Luca 4 Ferraris, Marco 4 McIntosh, Colin B. G. 4 Mitsopoulos, Antonios 4 Obukhov, Valery V. 4 Papacostas, Taxiarchis 4 Schöbel, Konrad P. 4 Valero, Carlos 4 Zakhary, E. 3 Anderson, Warren G. 3 Benenti, Sergio 3 Cariñena, José F. 3 Debever, Robert 3 d’Inverno, Ray A. 3 Ferrando, Joan Josep 3 Kress, Jonathan M. 3 Lim, A. E. K. 3 Pucacco, Giuseppe 3 Rajaratnam, Krishan 3 Sardanashvily, Gennadi A. 3 Sasse, Fernando D. 3 Sneddon, G. E. 3 Williams, George C. 2 Ahmed, Mainuddin 2 Aranovskiy, Stanislav V. 2 Bäckdahl, Thomas 2 Bagrov, Vladislav G. 2 Bonanos, Sotirios 2 Bruce, Aaron T. 2 Chanachowicz, Mark 2 Chanu, C. 2 Cicogna, Giampaolo 2 Cochran, Caroline M. 2 Dragomir, Sever Silvestru 2 Duggal, Krishan Lal 2 Edgar, S. Brian 2 Flanagan, Éanna É. 2 García-Parrado Gómez-Lobo, Alfonso 2 Giachetta, Giovanni 2 Grant, Alexander M. 2 Günther, Paul 2 Haddow, Barry M. 2 Heil, Konstantin 2 Herranz, Francisco José 2 Krtouš, Pavel 2 Kubizňák, David 2 Laino, Michele 2 MacCallum, Malcolm A. H. 2 Mangiarotti, Luigi 2 Mantica, Carlo Alberto 2 Matveev, Vladimir S. 2 McNutt, David Duncan 2 Olver, Peter John 2 Ortega, Romeo S. 2 Paliathanasis, Andronikos 2 Papakostas, Taxiarchis 2 Plebański, Jerzy Franciszek 2 Rosquist, Kjell 2 Sáez, Juan Antonio 2 Sharma, Ramesh 2 Silva-Ortigoza, Gilberto 2 Suh, Young Jin 2 The, Dennis 2 Torres del Castillo, Gerardo Francisco 2 Tsyganov, Andreĭ Vladimirovich 2 Van den Bergh, Norbert 2 Wainwright, John 2 Walton, T. F. 2 Woszczyna, Andrzej 2 Yaremovicz, P. E. A. 2 Yue, Jin 1 Aadne, Matthew Terje 1 Acevedo M., M. A. 1 Aksteiner, Steffen 1 Albouy, Alain 1 Åman, Jan E. 1 Andersson, Lars Åke 1 Andrà, Chiara 1 Apostolov, Vestislav 1 Arminjon, Mayeul 1 Arvan, Mohammad Reza 1 Astaburuaga, María Angélica 1 Ballesteros, Angel 1 Bashkirov, Denis ...and 192 more Authors all top 5 Cited in 72 Serials 83 Journal of Mathematical Physics 43 General Relativity and Gravitation 14 Journal of Geometry and Physics 14 Annales de l’Institut Henri Poincaré. Physique Théorique 9 International Journal of Geometric Methods in Modern Physics 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 5 Classical and Quantum Gravity 5 Journal of High Energy Physics 4 Computer Physics Communications 4 Zeitschrift für Analysis und ihre Anwendungen 3 Astrophysics and Space Science 3 Communications in Mathematical Physics 3 Reviews in Mathematical Physics 3 International Journal of Modern Physics D 3 Journal of Nonlinear Mathematical Physics 2 Letters in Mathematical Physics 2 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Results in Mathematics 2 Acta Applicandae Mathematicae 2 Russian Physics Journal 2 Gravitation & Cosmology 1 Modern Physics Letters A 1 International Journal of Modern Physics A 1 Computers & Mathematics with Applications 1 International Journal of Control 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Nuclear Physics. B 1 Physics Letters. A 1 Physics Letters. B 1 Reports on Mathematical Physics 1 The Mathematical Intelligencer 1 Applied Mathematics and Computation 1 Journal of Differential Equations 1 Journal of Functional Analysis 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Soviet Mathematics 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Transactions of the American Mathematical Society 1 Systems & Control Letters 1 Annals of Global Analysis and Geometry 1 Physica D 1 Journal of Symbolic Computation 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Differential Geometry and its Applications 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Sciences (New York) 1 European Journal of Control 1 Nonlinear Dynamics 1 Annalen der Physik. 8th Series 1 Annals of Mathematics. Second Series 1 Regular and Chaotic Dynamics 1 Living Reviews in Relativity 1 Annales Henri Poincaré 1 DGDS. Differential Geometry – Dynamical Systems 1 Revista de Matemática: Teoría y Aplicaciones 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Physical Review D. Series III 1 Journal of Cosmology and Astroparticle Physics 1 The Australian Journal of Mathematical Analysis and Applications 1 Foundations of Physics 1 Bulletin of the American Mathematical Society 1 Journal of Mathematical Inequalities 1 Advances in High Energy Physics 1 Communications in Mathematics 1 Concrete Operators all top 5 Cited in 35 Fields 140 Relativity and gravitational theory (83-XX) 133 Differential geometry (53-XX) 60 Mechanics of particles and systems (70-XX) 54 Partial differential equations (35-XX) 46 Quantum theory (81-XX) 36 Global analysis, analysis on manifolds (58-XX) 28 Dynamical systems and ergodic theory (37-XX) 5 Topological groups, Lie groups (22-XX) 5 Astronomy and astrophysics (85-XX) 5 Systems theory; control (93-XX) 4 Algebraic geometry (14-XX) 4 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 3 Functional analysis (46-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Optics, electromagnetic theory (78-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Group theory and generalizations (20-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Numerical analysis (65-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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