Edit Profile Boyer, Charles P. Compute Distance To: Compute Author ID: boyer.charles-p Published as: Boyer, C. P.; Boyer, Charles; Boyer, Charles P. Documents Indexed: 113 Publications since 1971, including 1 Book Biographic References: 1 Publication all top 5 Co-Authors 20 single-authored 40 Galicki, Krzysztof 22 Mann, Benjamin Michael 11 Kalnins, Ernest G. 11 Tønnesen-Friedman, Christina Wiis 9 Miller, Willard jun. 6 Nakamaye, Michael 4 Hurtubise, Jacques C. 4 Milgram, Richard James 4 Wolf, Kurt Bernardo 3 Huang, Hongnian 3 Legendre, Eveline 3 Winternitz, Pavel 2 Ardalan, Farhad 2 Calderbank, David M. J. 2 Kollár, János 2 Piccinni, Paolo 2 Plebański, Jerzy Franciszek 2 Rees, Elmer G. 2 Sánchez Valenzuela, Oscar Adolfo 2 Simanca, Santiago R. 1 Finley, James Daniel III 1 Gitler Hammer, Samuel Carlos 1 Lawson, Herbert Blaine jun. 1 Lima-Filho, Paulo 1 Macarini, Leonardo 1 Matzeu, Paola Maria 1 Michelsohn, Marie-Louise 1 Ornea, Liviu 1 Pati, Justin 1 Sharp, Robert T. 1 Thomas, Evan 1 van Coevering, Craig 1 van Koert, Otto 1 Waggoner, Daniel F. all top 5 Serials 16 Journal of Mathematical Physics 6 Transactions of the American Mathematical Society 6 Mathematical Research Letters 5 Communications in Mathematical Physics 3 Journal of Geometry and Physics 3 Geometriae Dedicata 3 Journal of Differential Geometry 3 International Journal of Mathematics 3 SIAM Journal on Mathematical Analysis 2 Inventiones Mathematicae 2 Journal für die Reine und Angewandte Mathematik 2 Mathematische Annalen 2 Proceedings of the American Mathematical Society 2 Annals of Global Analysis and Geometry 2 Differential Geometry and its Applications 2 IMRN. International Mathematics Research Notices 2 Geometry & Topology 2 Annals of Mathematics. Second Series 1 General Relativity and Gravitation 1 Reports on Mathematical Physics 1 Hadronic Journal 1 Acta Mathematica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Journal of Pure and Applied Algebra 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Topology 1 Note di Matematica 1 Forum Mathematicum 1 The Journal of Geometric Analysis 1 Journal of Physics A: Mathematical and General 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Experimental Mathematics 1 Communications in Analysis and Geometry 1 The New York Journal of Mathematics 1 Balkan Journal of Geometry and its Applications (BJGA) 1 African Diaspora Journal of Mathematics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Complex Manifolds 1 Oxford Mathematical Monographs all top 5 Fields 83 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 14 Several complex variables and analytic spaces (32-XX) 13 Manifolds and cell complexes (57-XX) 12 Partial differential equations (35-XX) 12 Quantum theory (81-XX) 11 Topological groups, Lie groups (22-XX) 9 Algebraic topology (55-XX) 7 Relativity and gravitational theory (83-XX) 6 Algebraic geometry (14-XX) 5 Mechanics of particles and systems (70-XX) 4 Special functions (33-XX) 3 Nonassociative rings and algebras (17-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,296 times in 791 Documents Cited by ▼ Year ▼ Sasakian geometry. Zbl 1155.53002Boyer, Charles P.; Galicki, Krzysztof 134 2008 3-Sasakian manifolds. Zbl 1008.53047Boyer, Charles; Galicki, Krzysztof 73 1999 Killing vectors in self-dual, Euclidean Einstein spaces. Zbl 0484.53051Boyer, C. P.; Finley, J. D. III 57 1982 On Sasakian-Einstein geometry. Zbl 1022.53038Boyer, Charles P.; Galicki, Krzysztof 56 2000 On \(\eta\)-Einstein Sasakian geometry. Zbl 1103.53022Boyer, Charles P.; Galicki, Krzysztof; Matzeu, Paola 54 2006 The geometry and topology of 3-Sasakian manifolds. Zbl 0889.53029Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 48 1994 A note on hyperhermitian four-manifolds. Zbl 0642.53073Boyer, Charles P. 48 1988 Einstein manifolds and contact geometry. Zbl 0981.53027Boyer, Charles P.; Galicki, Krzysztof 44 2001 Einstein metrics on spheres. Zbl 1093.53044Boyer, Charles P.; Galicki, Krzysztof; Kollár, János 43 2005 On the geometry of Sasakian-Einstein 5-manifolds. Zbl 1046.53028Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 37 2003 Canonical Sasakian metrics. Zbl 1142.53036Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 33 2008 Conformal duality and compact complex surfaces. Zbl 0571.32017Boyer, Charles P. 28 1986 Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0314.33011Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 25 1976 Constructions in Sasakian geometry. Zbl 1134.53021Boyer, Charles P.; Galicki, Krzysztof; Ornea, Liviu 23 2007 A note on toric contact geometry. Zbl 0984.53032Boyer, Charles P.; Galicki, Krzysztof 23 2000 Quaternionic reduction and Einstein manifolds. Zbl 0856.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 20 1993 The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture. Zbl 0816.55002Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. 19 1993 Lie theory and separation of variables. VI: The equation \(iU_t+ \Delta_2 U=0\). Zbl 0295.35020Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 19 1975 Symmetry breaking interactions for the time dependent Schrödinger equation. Zbl 0326.35019Boyer, C. P.; Sharp, R. T.; Winternitz, P. 18 1976 New Einstein metrics in dimension five. Zbl 1039.53048Boyer, Charles P.; Galicki, Krzysztof 17 2001 An infinite hierarchy of conservation laws and nonlinear superposition principles for self-dual Einstein spaces. Zbl 0555.53044Boyer, Charles P.; Plebański, Jerzy F. 17 1985 On positive Sasakian geometry. Zbl 1046.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 16 2003 Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces. Zbl 0656.58049Boyer, Charles P.; Mann, Benjamin M. 16 1988 Stäckel-equivalent integrable Hamiltonian systems. Zbl 0607.58015Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 16 1986 Sasakian geometry, hypersurface singularities, and Einstein metrics. Zbl 1101.53023Boyer, Charles P.; Galicki, Krzysztof 15 2005 Sasakian geometry, homotopy spheres and positive Ricci curvature. Zbl 1066.53089Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 15 2003 The theory of \(G^{\infty}\)-supermanifolds. Zbl 0543.58002Boyer, Charles P.; Gitler, Samuel 14 1984 Separable coordinates for four-dimensional Riemannian spaces. Zbl 0377.53009Boyer, C. P.; Kalnins, E. G. 14 1978 The topology of the space of rational maps into generalized flag manifolds. Zbl 0844.57037Boyer, C. P.; Mann, B. M.; Hurtubise, J. C.; Milgram, R. J. 13 1994 Compact 3-Sasakian 7-manifolds with arbitrary second Betti number. Zbl 0901.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.; Rees, Elmer G. 12 1998 On the equivalence problem for toric contact structures on \(S^3\)-bundles over \(S^2\). Zbl 1301.53080Boyer, Charles P.; Pati, Justin 11 2014 Sasakian geometry, holonomy, and supersymmetry. Zbl 1254.53003Boyer, Charles P.; Galicki, Krzysztof 11 2010 Lie supergroup actions on supermanifolds. Zbl 0724.58005Boyer, Charles P.; Sánchez Valenzuela, O. A. 11 1991 Separation of variables for the Hamilton-Jacobi equation on complex projective spaces. Zbl 0569.35012Boyer, C. P.; Kalnins, E. G.; Winternitz, P. 11 1985 Extremal Sasakian geometry on \(S^{3}\)-bundles over Riemann surfaces. Zbl 1307.53036Boyer, Charles P.; Tønnesen-Friedman, Christina W. 10 2014 Maximal tori in contactomorphism groups. Zbl 1281.53081Boyer, Charles P. 10 2013 Completely integrable contact Hamiltonian systems and toric contact structures on \(S^{2}\times S^{3}\). Zbl 1242.53112Boyer, Charles P. 10 2011 Algebraic cycles and infinite loop spaces. Zbl 0797.55006Boyer, Charles P.; Lawson, H. Blaine jun.; Lima-Filho, Paulo; Mann, Benjamin M.; Michelsohn, Marie-Louise 10 1993 Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan 9 2005 New Einstein metrics on \(8\#(S^{2}\times S^{3})\). Zbl 1042.53028Boyer, Charles P.; Galicki, Krzysztof 9 2003 Sasakian-Einstein structures on \(9\#(S^2\times S^3)\). Zbl 1003.53038Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 9 2002 On the homology of SU(n) instantons. Zbl 0725.53065Boyer, Charles P.; Mann, Benjamin M.; Waggoner, Daniel 9 1991 Symmetries of the self-dual Einstein equations. I: The infinite- dimensional symmetry group and its low-dimensional subgroups. Zbl 0673.53038Boyer, C. P.; Winternitz, P. 9 1989 Homology operations on instantons. Zbl 0666.55003Boyer, Charles P.; Mann, Benjamin M. 9 1988 Canonical transforms. III: Configuration and phase descriptions of quantum systems possessing an sl(2, R) dynamical algebra. Zbl 0324.44003Boyer, Charles P.; Wolf, Kurt Bernardo 9 1975 The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature. Zbl 1338.53068Boyer, Charles P.; Tønnesen-Friedman, Christina W. 8 2016 Einstein metrics on rational homology spheres. Zbl 1107.53028Boyer, Charles P.; Galicki, Krzysztof 8 2006 On the supplementary series of \(SO_0(p,1)\). Zbl 0255.22019Boyer, Charles P. 8 1973 Matrix elements for the most degenerate continuous principal series of representations of SO(p,1). Zbl 0233.22009Boyer, Charles P. 8 1971 The Sasakian geometry of the Heisenberg group. Zbl 1199.53102Boyer, Charles P. 7 2009 On the decomposition \(SO(p,1) \supset SO(p-1,1)\) for most degenerate representations. Zbl 0233.22010Boyer, Charles P.; Ardalan, Farhad 7 1971 Extremal Sasakian metrics on \(S^3\)-bundles over \(S^2\). Zbl 1246.53065Boyer, Charles P. 6 2011 On Sasaki-Einstein manifolds in dimension five. Zbl 1227.53056Boyer, Charles P.; Nakamaye, Michael 6 2010 The Sasaki cone and extremal Sasakian metrics. Zbl 1171.53033Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 6 2009 Einstein metrics on rational homology 7-spheres. Zbl 1023.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 5 2002 The twistor space of a 3-Sasakian manifold. Zbl 0887.53043Boyer, Charles P.; Galicki, Krzysztof 5 1997 R-separable coordinates for three-dimensional complex Riemannian spaces. Zbl 0391.22012Boyer, C. P.; Kalnins, E. G.; Miller, Willard jun. 5 1978 Symmetry and separation of variables for the Hamilton-Jacobi equation \(W^2_t-W^2_x-W^2_y=0\). Zbl 0365.70021Boyer, C. P.; Kalnins, E. G.; Miller, W. jun 5 1978 The algebra and group deformations \(I^m [SO(n) \otimes SO (m) ] \Rightarrow SO(n,m)\), \(I^m [U(n) \otimes U(m)] \Rightarrow U(n,m)\) and \(I^m [Sp(n) \otimes Sp (m) ] \Rightarrow Sp (n,m)\) for \(1 \leq m \leq n\). Zbl 0293.17008Wolf, Kurt Bernardo; Boyer, Charles P. 5 1974 The Einstein-Hilbert functional and the Sasaki-Futaki invariant. Zbl 1405.53069Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 4 2017 Extremal Sasakian geometry on \({T}^{2} \times {S}^{3}\) and related manifolds. Zbl 1288.53033Boyer, Charles P.; Tønnesen-Friedman, Christina W. 4 2013 Sasakian geometry: the recent work of Krzysztof Galicki. Zbl 1200.53002Boyer, Charles P. 4 2009 3-Sasakian geometry, nilpotent orbits, and exceptional quotients. Zbl 1003.53032Boyer, Charles P.; Galicki, Krzysztof; Piccinni, Paolo 4 2002 Stability theorems for spaces of rational curves. Zbl 1110.58303Boyer, C. P.; Hurtubise, J. C.; Milgram, R. J. 4 2001 Hypercomplex structures on Stiefel manifolds. Zbl 0843.53030Boyer, Charles; Galicki, Krzysztof; Mann, Benjamin M. 4 1996 Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces. Zbl 0647.53053Boyer, Charles 4 1988 Lie theory and separation of variables for the equation \(iU_t+\Delta_2U- (\alpha/x^2_1=\beta/x^2_2)U=O\). Zbl 0326.35017Boyer, Charles P. 4 1976 Lie theory and separation of variables. VII: The harmonic oscillator in elliptic coordinates and Ince polynomials. Zbl 0295.35021Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 4 1975 Relative K-stability and extremal Sasaki metrics. Zbl 1400.53034Boyer, Charles P.; van Coevering, Craig 3 2018 The Sasaki join and admissible Kähler constructions. Zbl 1319.53035Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 On the topology of some Sasaki-Einstein manifolds. Zbl 1314.53080Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 Sasakian geometry and Einstein metrics on spheres. Zbl 1109.53048Boyer, Charles P.; Galicki, Krzysztof 3 2006 The Kähler geometry of Bott manifolds. Zbl 1416.53068Boyer, Charles P.; Calderbank, David M. J.; Tønnesen-Friedman, Christina W. 2 2019 An application of the Duistermaat-Heckman theorem and its extensions in Sasaki geometry. Zbl 1460.53043Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline 2 2018 Reducibility in Sasakian geometry. Zbl 1444.53035Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 2 2018 Brieskorn manifolds, positive Sasakian geometry, and contact topology. Zbl 1356.53081Boyer, Charles P.; Macarini, Leonardo; van Koert, Otto 2 2016 Sasakian manifolds with perfect fundamental groups. Zbl 1285.53034Boyer, Charles P.; Tønnesen-Friedman, Christina W. 2 2012 Highly connected manifolds with positive Ricci curvature. Zbl 1129.53026Boyer, Charles P.; Galicki, Krzysztof 2 2006 Toric self-dual Einstein metrics as quotients. Zbl 1083.53047Boyer, Charles P.; Calderbank, David M. J.; Galicki, Krzysztof; Piccinni, Paolo 2 2005 Rational homology 5-spheres with positive Ricci curvature. Zbl 1025.53017Boyer, Charles P.; Galicki, Krzysztof 2 2002 Hypercomplex structures from 3-Sasakian structures. Zbl 0908.53026Boyer, Charles P.; Galicki, Krzystof; Mann, Benjamin M. 2 1998 3-Sasakian manifolds. Zbl 0814.53037Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 2 1993 The Atiyah-Jones conjecture. Zbl 0748.32014Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. 2 1992 Instantons and homotopy. Zbl 0685.58037Boyer, Charles P.; Mann, Benjamin M. 2 1989 Separation of variables in Einstein spaces. I: Two ignorable and one null coordinate. Zbl 0467.53017Boyer, Charles P.; Kalnins, E. G.; Miller, W. jun. 2 1981 General relativity and G-structures. I: General theory and algebraically degenerate spaces. Zbl 0423.53027Boyer, Charles P.; Plebanski, Jerzy F. 2 1978 A relationship between Lie theory and continued fraction expansions for special functions. Zbl 0368.40004Boyer, C. P.; Miller, W. jun. 2 1977 Symmetries of the Hamilton-Jacobi equation. Zbl 0347.35022Boyer, C. P.; Kalnins, E. G. 2 1977 The group chain \(SO_{n,1} \supset SO_{1,1} \otimes SO_{n-1}\) a complete solution to the ’missing label’ problem. Zbl 0284.22008Boyer, Charles P.; Wolf, Kurt Bernardo 2 1974 Erratum and Addendum for “Rational homology 5-spheres with positive Ricci curvature”. Zbl 1116.53022Boyer, Charles P.; Galicki, Krzysztof 1 2006 Quaternionic geometry and \(3\)-Sasakian manifolds. Zbl 0942.53030Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1998 On strongly inhomogeneous Einstein manifolds. Zbl 0862.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1996 Some new examples of compact inhomogeneous hypercomplex manifolds. Zbl 0841.53041Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 New examples of inhomogeneous Einstein manifolds of positive scalar curvature. Zbl 0842.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 The hyperkähler geometry of the ADHM construction and quaternionic geometric invariant theory. Zbl 0791.58028Boyer, Charles P.; Mann, Benjamin M. 1 1993 Some problems of elementary calculus in superdomains (with a survey on the theory of supermanifolds). Zbl 0689.14002Boyer, Charles P.; Sánchez Valenzuela, O. A. 1 1988 On the structure of supermanifolds. Zbl 0506.58002Boyer, Charles P. 1 1982 Separation of variables in Einstein spaces. II. No ignorable coordinates. Zbl 0467.53018Boyer, Charles P. 1 1980 Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0306.33006Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 1 1976 Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups. Zbl 0284.17005Boyer, Charles P.; Wolf, Kurt Bernardo 1 1973 The Kähler geometry of Bott manifolds. Zbl 1416.53068Boyer, Charles P.; Calderbank, David M. J.; Tønnesen-Friedman, Christina W. 2 2019 Relative K-stability and extremal Sasaki metrics. Zbl 1400.53034Boyer, Charles P.; van Coevering, Craig 3 2018 An application of the Duistermaat-Heckman theorem and its extensions in Sasaki geometry. Zbl 1460.53043Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline 2 2018 Reducibility in Sasakian geometry. Zbl 1444.53035Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 2 2018 The Einstein-Hilbert functional and the Sasaki-Futaki invariant. Zbl 1405.53069Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 4 2017 The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature. Zbl 1338.53068Boyer, Charles P.; Tønnesen-Friedman, Christina W. 8 2016 Brieskorn manifolds, positive Sasakian geometry, and contact topology. Zbl 1356.53081Boyer, Charles P.; Macarini, Leonardo; van Koert, Otto 2 2016 The Sasaki join and admissible Kähler constructions. Zbl 1319.53035Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 On the topology of some Sasaki-Einstein manifolds. Zbl 1314.53080Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 On the equivalence problem for toric contact structures on \(S^3\)-bundles over \(S^2\). Zbl 1301.53080Boyer, Charles P.; Pati, Justin 11 2014 Extremal Sasakian geometry on \(S^{3}\)-bundles over Riemann surfaces. Zbl 1307.53036Boyer, Charles P.; Tønnesen-Friedman, Christina W. 10 2014 Maximal tori in contactomorphism groups. Zbl 1281.53081Boyer, Charles P. 10 2013 Extremal Sasakian geometry on \({T}^{2} \times {S}^{3}\) and related manifolds. Zbl 1288.53033Boyer, Charles P.; Tønnesen-Friedman, Christina W. 4 2013 Sasakian manifolds with perfect fundamental groups. Zbl 1285.53034Boyer, Charles P.; Tønnesen-Friedman, Christina W. 2 2012 Completely integrable contact Hamiltonian systems and toric contact structures on \(S^{2}\times S^{3}\). Zbl 1242.53112Boyer, Charles P. 10 2011 Extremal Sasakian metrics on \(S^3\)-bundles over \(S^2\). Zbl 1246.53065Boyer, Charles P. 6 2011 Sasakian geometry, holonomy, and supersymmetry. Zbl 1254.53003Boyer, Charles P.; Galicki, Krzysztof 11 2010 On Sasaki-Einstein manifolds in dimension five. Zbl 1227.53056Boyer, Charles P.; Nakamaye, Michael 6 2010 The Sasakian geometry of the Heisenberg group. Zbl 1199.53102Boyer, Charles P. 7 2009 The Sasaki cone and extremal Sasakian metrics. Zbl 1171.53033Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 6 2009 Sasakian geometry: the recent work of Krzysztof Galicki. Zbl 1200.53002Boyer, Charles P. 4 2009 Sasakian geometry. Zbl 1155.53002Boyer, Charles P.; Galicki, Krzysztof 134 2008 Canonical Sasakian metrics. Zbl 1142.53036Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 33 2008 Constructions in Sasakian geometry. Zbl 1134.53021Boyer, Charles P.; Galicki, Krzysztof; Ornea, Liviu 23 2007 On \(\eta\)-Einstein Sasakian geometry. Zbl 1103.53022Boyer, Charles P.; Galicki, Krzysztof; Matzeu, Paola 54 2006 Einstein metrics on rational homology spheres. Zbl 1107.53028Boyer, Charles P.; Galicki, Krzysztof 8 2006 Sasakian geometry and Einstein metrics on spheres. Zbl 1109.53048Boyer, Charles P.; Galicki, Krzysztof 3 2006 Highly connected manifolds with positive Ricci curvature. Zbl 1129.53026Boyer, Charles P.; Galicki, Krzysztof 2 2006 Erratum and Addendum for “Rational homology 5-spheres with positive Ricci curvature”. Zbl 1116.53022Boyer, Charles P.; Galicki, Krzysztof 1 2006 Einstein metrics on spheres. Zbl 1093.53044Boyer, Charles P.; Galicki, Krzysztof; Kollár, János 43 2005 Sasakian geometry, hypersurface singularities, and Einstein metrics. Zbl 1101.53023Boyer, Charles P.; Galicki, Krzysztof 15 2005 Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan 9 2005 Toric self-dual Einstein metrics as quotients. Zbl 1083.53047Boyer, Charles P.; Calderbank, David M. J.; Galicki, Krzysztof; Piccinni, Paolo 2 2005 On the geometry of Sasakian-Einstein 5-manifolds. Zbl 1046.53028Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 37 2003 On positive Sasakian geometry. Zbl 1046.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 16 2003 Sasakian geometry, homotopy spheres and positive Ricci curvature. Zbl 1066.53089Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 15 2003 New Einstein metrics on \(8\#(S^{2}\times S^{3})\). Zbl 1042.53028Boyer, Charles P.; Galicki, Krzysztof 9 2003 Sasakian-Einstein structures on \(9\#(S^2\times S^3)\). Zbl 1003.53038Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 9 2002 Einstein metrics on rational homology 7-spheres. Zbl 1023.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 5 2002 3-Sasakian geometry, nilpotent orbits, and exceptional quotients. Zbl 1003.53032Boyer, Charles P.; Galicki, Krzysztof; Piccinni, Paolo 4 2002 Rational homology 5-spheres with positive Ricci curvature. Zbl 1025.53017Boyer, Charles P.; Galicki, Krzysztof 2 2002 Einstein manifolds and contact geometry. Zbl 0981.53027Boyer, Charles P.; Galicki, Krzysztof 44 2001 New Einstein metrics in dimension five. Zbl 1039.53048Boyer, Charles P.; Galicki, Krzysztof 17 2001 Stability theorems for spaces of rational curves. Zbl 1110.58303Boyer, C. P.; Hurtubise, J. C.; Milgram, R. J. 4 2001 On Sasakian-Einstein geometry. Zbl 1022.53038Boyer, Charles P.; Galicki, Krzysztof 56 2000 A note on toric contact geometry. Zbl 0984.53032Boyer, Charles P.; Galicki, Krzysztof 23 2000 3-Sasakian manifolds. Zbl 1008.53047Boyer, Charles; Galicki, Krzysztof 73 1999 Compact 3-Sasakian 7-manifolds with arbitrary second Betti number. Zbl 0901.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.; Rees, Elmer G. 12 1998 Hypercomplex structures from 3-Sasakian structures. Zbl 0908.53026Boyer, Charles P.; Galicki, Krzystof; Mann, Benjamin M. 2 1998 Quaternionic geometry and \(3\)-Sasakian manifolds. Zbl 0942.53030Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1998 The twistor space of a 3-Sasakian manifold. Zbl 0887.53043Boyer, Charles P.; Galicki, Krzysztof 5 1997 Hypercomplex structures on Stiefel manifolds. Zbl 0843.53030Boyer, Charles; Galicki, Krzysztof; Mann, Benjamin M. 4 1996 On strongly inhomogeneous Einstein manifolds. Zbl 0862.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1996 The geometry and topology of 3-Sasakian manifolds. Zbl 0889.53029Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 48 1994 The topology of the space of rational maps into generalized flag manifolds. Zbl 0844.57037Boyer, C. P.; Mann, B. M.; Hurtubise, J. C.; Milgram, R. J. 13 1994 Some new examples of compact inhomogeneous hypercomplex manifolds. Zbl 0841.53041Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 New examples of inhomogeneous Einstein manifolds of positive scalar curvature. Zbl 0842.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 Quaternionic reduction and Einstein manifolds. Zbl 0856.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 20 1993 The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture. Zbl 0816.55002Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. 19 1993 Algebraic cycles and infinite loop spaces. Zbl 0797.55006Boyer, Charles P.; Lawson, H. Blaine jun.; Lima-Filho, Paulo; Mann, Benjamin M.; Michelsohn, Marie-Louise 10 1993 3-Sasakian manifolds. Zbl 0814.53037Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 2 1993 The hyperkähler geometry of the ADHM construction and quaternionic geometric invariant theory. Zbl 0791.58028Boyer, Charles P.; Mann, Benjamin M. 1 1993 The Atiyah-Jones conjecture. Zbl 0748.32014Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. 2 1992 Lie supergroup actions on supermanifolds. Zbl 0724.58005Boyer, Charles P.; Sánchez Valenzuela, O. A. 11 1991 On the homology of SU(n) instantons. Zbl 0725.53065Boyer, Charles P.; Mann, Benjamin M.; Waggoner, Daniel 9 1991 Symmetries of the self-dual Einstein equations. I: The infinite- dimensional symmetry group and its low-dimensional subgroups. Zbl 0673.53038Boyer, C. P.; Winternitz, P. 9 1989 Instantons and homotopy. Zbl 0685.58037Boyer, Charles P.; Mann, Benjamin M. 2 1989 A note on hyperhermitian four-manifolds. Zbl 0642.53073Boyer, Charles P. 48 1988 Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces. Zbl 0656.58049Boyer, Charles P.; Mann, Benjamin M. 16 1988 Homology operations on instantons. Zbl 0666.55003Boyer, Charles P.; Mann, Benjamin M. 9 1988 Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces. Zbl 0647.53053Boyer, Charles 4 1988 Some problems of elementary calculus in superdomains (with a survey on the theory of supermanifolds). Zbl 0689.14002Boyer, Charles P.; Sánchez Valenzuela, O. A. 1 1988 Conformal duality and compact complex surfaces. Zbl 0571.32017Boyer, Charles P. 28 1986 Stäckel-equivalent integrable Hamiltonian systems. Zbl 0607.58015Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 16 1986 An infinite hierarchy of conservation laws and nonlinear superposition principles for self-dual Einstein spaces. Zbl 0555.53044Boyer, Charles P.; Plebański, Jerzy F. 17 1985 Separation of variables for the Hamilton-Jacobi equation on complex projective spaces. Zbl 0569.35012Boyer, C. P.; Kalnins, E. G.; Winternitz, P. 11 1985 The theory of \(G^{\infty}\)-supermanifolds. Zbl 0543.58002Boyer, Charles P.; Gitler, Samuel 14 1984 Killing vectors in self-dual, Euclidean Einstein spaces. Zbl 0484.53051Boyer, C. P.; Finley, J. D. III 57 1982 On the structure of supermanifolds. Zbl 0506.58002Boyer, Charles P. 1 1982 Separation of variables in Einstein spaces. I: Two ignorable and one null coordinate. Zbl 0467.53017Boyer, Charles P.; Kalnins, E. G.; Miller, W. jun. 2 1981 Separation of variables in Einstein spaces. II. No ignorable coordinates. Zbl 0467.53018Boyer, Charles P. 1 1980 Separable coordinates for four-dimensional Riemannian spaces. Zbl 0377.53009Boyer, C. P.; Kalnins, E. G. 14 1978 R-separable coordinates for three-dimensional complex Riemannian spaces. Zbl 0391.22012Boyer, C. P.; Kalnins, E. G.; Miller, Willard jun. 5 1978 Symmetry and separation of variables for the Hamilton-Jacobi equation \(W^2_t-W^2_x-W^2_y=0\). Zbl 0365.70021Boyer, C. P.; Kalnins, E. G.; Miller, W. jun 5 1978 General relativity and G-structures. I: General theory and algebraically degenerate spaces. Zbl 0423.53027Boyer, Charles P.; Plebanski, Jerzy F. 2 1978 A relationship between Lie theory and continued fraction expansions for special functions. Zbl 0368.40004Boyer, C. P.; Miller, W. jun. 2 1977 Symmetries of the Hamilton-Jacobi equation. Zbl 0347.35022Boyer, C. P.; Kalnins, E. G. 2 1977 Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0314.33011Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 25 1976 Symmetry breaking interactions for the time dependent Schrödinger equation. Zbl 0326.35019Boyer, C. P.; Sharp, R. T.; Winternitz, P. 18 1976 Lie theory and separation of variables for the equation \(iU_t+\Delta_2U- (\alpha/x^2_1=\beta/x^2_2)U=O\). Zbl 0326.35017Boyer, Charles P. 4 1976 Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0306.33006Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 1 1976 Lie theory and separation of variables. VI: The equation \(iU_t+ \Delta_2 U=0\). Zbl 0295.35020Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 19 1975 Canonical transforms. III: Configuration and phase descriptions of quantum systems possessing an sl(2, R) dynamical algebra. Zbl 0324.44003Boyer, Charles P.; Wolf, Kurt Bernardo 9 1975 Lie theory and separation of variables. VII: The harmonic oscillator in elliptic coordinates and Ince polynomials. Zbl 0295.35021Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 4 1975 The algebra and group deformations \(I^m [SO(n) \otimes SO (m) ] \Rightarrow SO(n,m)\), \(I^m [U(n) \otimes U(m)] \Rightarrow U(n,m)\) and \(I^m [Sp(n) \otimes Sp (m) ] \Rightarrow Sp (n,m)\) for \(1 \leq m \leq n\). Zbl 0293.17008Wolf, Kurt Bernardo; Boyer, Charles P. 5 1974 The group chain \(SO_{n,1} \supset SO_{1,1} \otimes SO_{n-1}\) a complete solution to the ’missing label’ problem. Zbl 0284.22008Boyer, Charles P.; Wolf, Kurt Bernardo 2 1974 On the supplementary series of \(SO_0(p,1)\). Zbl 0255.22019Boyer, Charles P. 8 1973 Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups. Zbl 0284.17005Boyer, Charles P.; Wolf, Kurt Bernardo 1 1973 Matrix elements for the most degenerate continuous principal series of representations of SO(p,1). Zbl 0233.22009Boyer, Charles P. 8 1971 On the decomposition \(SO(p,1) \supset SO(p-1,1)\) for most degenerate representations. Zbl 0233.22010Boyer, Charles P.; Ardalan, Farhad 7 1971 all cited Publications top 5 cited Publications all top 5 Cited by 878 Authors 44 Boyer, Charles P. 26 Kalnins, Ernest G. 20 Miller, Willard jun. 16 Winternitz, Pavel 15 Ghosh, Amalendu 13 Galicki, Krzysztof 13 Wolf, Kurt Bernardo 12 Ornea, Liviu 10 Ivanov, Stefan P. 10 Verbitsky, Misha 9 Ferapontov, Evgeny Vladimirovich 9 Perrone, Domenico 8 Calderbank, David M. J. 8 Dunajski, Maciej 8 Mann, Benjamin Michael 8 Piccinni, Paolo 8 Sparks, James 8 Tønnesen-Friedman, Christina Wiis 7 Apostolov, Vestislav 7 Cappelletti Montano, Beniamino 6 Baudoin, Fabrice 6 Friedrich, Thomas 6 Gauduchon, Paul 6 He, Weiyong 6 Kress, Jonathan M. 6 Martelli, Dario 6 McLenaghan, Raymond G. 6 Moroianu, Andrei 6 Popov, Alexander D. 6 Sharma, Ramesh 6 Takasaki, Kanehisa 6 Vezzoni, Luigi 6 Zabzine, Maxim 5 Alesker, Semyon 5 Conti, Diego 5 De Nicola, Antonio 5 Goertsches, Oliver 5 Habib, Georges 5 Hurtubise, Jacques C. 5 LeBrun, Claude R. 5 Lechtenfeld, Olaf 5 Lima-Filho, Paulo 5 Milgram, Richard James 5 Patera, Jiří 5 Pontecorvo, Massimiliano 5 Qiu, Jian 5 Schäfer, Lars 5 Vassilev, Dimiter N. 5 Yang, Hyun Seok 5 Zhang, Xi 4 Alekseevskiĭ, Dmitriĭ Vladimirovich 4 Basu, Debabrata 4 Biswas, Indranil 4 Cheltsov, Ivan Anatol’evich 4 Choi, Younggi 4 Collins, Tristan Clifford 4 del Olmo, Mariano A. 4 Dileo, Giulia 4 Fernández Rodríguez, Marisa 4 Gauntlett, Jerome P. 4 Grantcharov, Gueo 4 Kamishima, Yoshinobu 4 Kamiyama, Yasuhiko 4 Legendre, Eveline 4 Miller, Jeremy A. 4 Miller, Willar jun. 4 Pestov, Vladimir G. 4 Plebański, Jerzy Franciszek 4 Przanowski, Maciej 4 Ren, Yibin 4 Sánchez Valenzuela, Oscar Adolfo 4 Saveliev, Mikhail V. 4 Shramov, Konstantin Aleksandrovich 4 Singer, Michael A. 4 Sperling, Marcus 4 Yamaguchi, Kohhei 3 Agricola, Ilka 3 Bazzoni, Giovanni 3 Beldjilali, Gherici 3 Błaszak, Maciej 3 Bobev, Nokolai 3 Bruzzo, Ugo 3 Chanu, Claudia Maria 3 Cho, Jong Taek 3 Chrysikos, Ioannis 3 Cohen, Ralph L. 3 Cohl, Howard Saul 3 Davidov, Johann T. 3 Dong, Yuxin 3 Fino, Anna 3 Fushchych, Vil’gel’m Illich 3 Futaki, Akito 3 Geiges, Hansjörg 3 Geipel, Jakob C. 3 Harnad, John 3 Kishimoto, Daisuke 3 Kozlowski, Andrzej 3 Lejmi, Mehdi 3 Loi, Andrea 3 Marciniak, Krzysztof ...and 778 more Authors all top 5 Cited in 171 Serials 102 Journal of Mathematical Physics 66 Journal of Geometry and Physics 42 Journal of High Energy Physics 39 Communications in Mathematical Physics 31 Annals of Global Analysis and Geometry 31 Differential Geometry and its Applications 22 Transactions of the American Mathematical Society 20 Mathematische Zeitschrift 17 Nuclear Physics. 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GAFA 2 Russian Mathematics 2 Experimental Mathematics 2 Potential Analysis 2 Discrete and Continuous Dynamical Systems 2 Mathematical Physics, Analysis and Geometry 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Journal of Nonlinear Mathematical Physics 2 Algebraic & Geometric Topology 2 Journal of the Institute of Mathematics of Jussieu 2 African Diaspora Journal of Mathematics 2 International Electronic Journal of Geometry 2 Science China. Mathematics 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Astronomische Nachrichten 1 Communications in Algebra 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Periodica Mathematica Hungarica 1 Physics Letters. 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Quatrième Série 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France ...and 71 more Serials all top 5 Cited in 44 Fields 513 Differential geometry (53-XX) 124 Quantum theory (81-XX) 120 Global analysis, analysis on manifolds (58-XX) 101 Partial differential equations (35-XX) 100 Several complex variables and analytic spaces (32-XX) 74 Algebraic geometry (14-XX) 72 Relativity and gravitational theory (83-XX) 66 Manifolds and cell complexes (57-XX) 65 Dynamical systems and ergodic theory (37-XX) 50 Algebraic topology (55-XX) 47 Topological groups, Lie groups (22-XX) 39 Mechanics of particles and systems (70-XX) 25 Nonassociative rings and algebras (17-XX) 9 Functions of a complex variable (30-XX) 8 Special functions (33-XX) 7 Associative rings and algebras (16-XX) 7 \(K\)-theory (19-XX) 7 Ordinary differential equations (34-XX) 7 Functional analysis (46-XX) 7 Optics, electromagnetic theory (78-XX) 5 Group theory and generalizations (20-XX) 4 Integral transforms, operational calculus (44-XX) 4 Operator theory (47-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Real functions (26-XX) 3 Geometry (51-XX) 3 General topology (54-XX) 3 Numerical analysis (65-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Fluid mechanics (76-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year