Edit Profile (opens in new tab) Boyer, Charles P. Compute Distance To: Compute Author ID: boyer.charles-p Published as: Boyer, Charles P.; Boyer, C. P.; Boyer, Charles more...less Documents Indexed: 115 Publications since 1971, including 1 Book 1 Further Contribution Biographic References: 1 Publication Co-Authors: 34 Co-Authors with 96 Joint Publications 667 Co-Co-Authors all top 5 Co-Authors 20 single-authored 40 Galicki, Krzysztof 22 Mann, Benjamin Michael 13 Tønnesen-Friedman, Christina Wiis 11 Kalnins, Ernest G. 9 Miller, Willard jun. 6 Nakamaye, Michael 4 Huang, Hongnian 4 Hurtubise, Jacques C. 4 Milgram, Richard James 4 Wolf, Kurt Bernardo 3 Legendre, Eveline 3 Winternitz, Pavel 2 Ardalan, Farhad 2 Calderbank, David M. J. 2 Finley, James Daniel III 2 Kollár, János 2 Piccinni, Paolo 2 Plebański, Jerzy Franciszek 2 Rees, Elmer Gethin 2 Sánchez Valenzuela, Oscar Adolfo 2 Simanca, Santiago R. 1 Ashtekar, Abhay 1 Benenti, Sergio 1 Bergmann, Peter Gabriel 1 Brill, Dieter R. 1 Choquet-Bruhat, Yvonne 1 Clarke, C. J. S. 1 Davies, Paul C. W. 1 Deser, Stanley 1 d’Inverno, Ray A. 1 Ellis, George Francis Rayner 1 Flaherty, Edward J. jun. 1 Francaviglia, Mauro 1 Gitler Hammer, Samuel Carlos 1 Goenner, Hubert F. M. 1 Goldberg, Joshua N. 1 Grishchuk, Leonid P. 1 Hehl, Friedrich W. 1 Hora, Heinrich 1 Isenberg, James A. 1 Israel, Werner 1 Jang, Pong Soo 1 Komar, Arthur B. 1 Lawson, Herbert Blaine jun. 1 Liang, E. P. T. 1 Lima-Filho, Paulo 1 Macarini, Leonardo 1 Matzeu, Paola Maria 1 Michelsohn, Marie-Louise 1 Miller, John Charles 1 Ne’man, Yuval 1 Newman, Ezra Ted 1 Nitsch, Jürgen 1 Ornea, Liviu 1 Pati, Justin 1 Penrose, Roger 1 Plebański, F. J. 1 Polnarev, Alexander G. 1 Sachs, Rainer Kurt 1 Sciama, Dennis William 1 Shapiro, Irwin I. 1 Sharp, Robert T. 1 Stachel, John 1 Stewart, John M. 1 Taub, Abraham Haskel 1 Teitelboim, Claudio 1 Thomas, Evan 1 Tipler, Frank J. 1 Tod, Kenneth Paul 1 Trautmann, Andrzej 1 van Coevering, Craig 1 van Koert, Otto 1 van Nieuwenhuizen, Peter 1 von der Heyde, Paul 1 Waggoner, Daniel F. 1 Ward, Richard Samuel 1 Winicour, Jeffrey 1 York, James W. jun. 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 Differential Geometry and its Applications 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 IMRN. International Mathematics Research Notices 2 Geometry & Topology 2 Annals of Mathematics. Second Series 2 Complex Manifolds 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 Oxford Mathematical Monographs all top 5 Fields 86 Differential geometry (53-XX) 15 Several complex variables and analytic spaces (32-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Partial differential equations (35-XX) 13 Manifolds and cell complexes (57-XX) 13 Quantum theory (81-XX) 12 Topological groups, Lie groups (22-XX) 9 Algebraic topology (55-XX) 8 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 General and overarching topics; collections (00-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 103 Publications have been cited 1,387 times in 843 Documents Cited by ▼ Year ▼ Sasakian geometry. Zbl 1155.53002Boyer, Charles P.; Galicki, Krzysztof 154 2008 On \(\eta\)-Einstein Sasakian geometry. Zbl 1103.53022Boyer, Charles P.; Galicki, Krzysztof; Matzeu, Paola 68 2006 3-Sasakian manifolds. Zbl 1008.53047Boyer, Charles; Galicki, Krzysztof 67 1999 On Sasakian-Einstein geometry. Zbl 1022.53038Boyer, Charles P.; Galicki, Krzysztof 64 2000 Killing vectors in self-dual, Euclidean Einstein spaces. Zbl 0484.53051Boyer, C. P.; Finley, J. D. III 59 1982 Einstein manifolds and contact geometry. Zbl 0981.53027Boyer, Charles P.; Galicki, Krzysztof 56 2001 The geometry and topology of 3-Sasakian manifolds. Zbl 0889.53029Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 51 1994 Einstein metrics on spheres. Zbl 1093.53044Boyer, Charles P.; Galicki, Krzysztof; Kollár, János 50 2005 A note on hyperhermitian four-manifolds. Zbl 0642.53073Boyer, Charles P. 49 1988 On the geometry of Sasakian-Einstein 5-manifolds. Zbl 1046.53028Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 38 2003 Canonical Sasakian metrics. Zbl 1142.53036Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 36 2008 Conformal duality and compact complex surfaces. Zbl 0571.32017Boyer, Charles P. 28 1986 Constructions in Sasakian geometry. Zbl 1134.53021Boyer, Charles P.; Galicki, Krzysztof; Ornea, Liviu 25 2007 A note on toric contact geometry. Zbl 0984.53032Boyer, Charles P.; Galicki, Krzysztof 24 2000 Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0314.33011Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 24 1976 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. 21 1993 Quaternionic reduction and Einstein manifolds. Zbl 0856.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 20 1993 New Einstein metrics in dimension five. Zbl 1039.53048Boyer, Charles P.; Galicki, Krzysztof 19 2001 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 On positive Sasakian geometry. Zbl 1046.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 18 2003 An infinite hierarchy of conservation laws and nonlinear superposition principles for self-dual Einstein spaces. Zbl 0555.53044Boyer, Charles P.; Plebański, Jerzy F. 18 1985 Symmetry breaking interactions for the time dependent Schrödinger equation. Zbl 0326.35019Boyer, C. P.; Sharp, R. T.; Winternitz, P. 18 1976 Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces. Zbl 0656.58049Boyer, Charles P.; Mann, Benjamin M. 16 1988 Sasakian geometry, homotopy spheres and positive Ricci curvature. Zbl 1066.53089Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 16 2003 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 14 2005 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. 13 1998 On the equivalence problem for toric contact structures on \(S^3\)-bundles over \(S^2\). Zbl 1301.53080Boyer, Charles P.; Pati, Justin 12 2014 Separation of variables for the Hamilton-Jacobi equation on complex projective spaces. Zbl 0569.35012Boyer, C. P.; Kalnins, E. G.; Winternitz, P. 11 1985 Lie supergroup actions on supermanifolds. Zbl 0724.58005Boyer, Charles P.; Sánchez Valenzuela, O. A. 11 1991 Extremal Sasakian geometry on \(S^{3}\)-bundles over Riemann surfaces. Zbl 1307.53036Boyer, Charles P.; Tønnesen-Friedman, Christina W. 11 2014 Maximal tori in contactomorphism groups. Zbl 1281.53081Boyer, Charles P. 10 2013 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 Sasakian-Einstein structures on \(9\#(S^2\times S^3)\). Zbl 1003.53038Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 10 2002 Completely integrable contact Hamiltonian systems and toric contact structures on \(S^{2}\times S^{3}\). Zbl 1242.53112Boyer, Charles P. 10 2011 The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature. Zbl 1338.53068Boyer, Charles P.; Tønnesen-Friedman, Christina W. 10 2016 Sasakian geometry, holonomy, and supersymmetry. Zbl 1254.53003Boyer, Charles P.; Galicki, Krzysztof 10 2010 Homology operations on instantons. Zbl 0666.55003Boyer, Charles P.; Mann, Benjamin M. 9 1988 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 New Einstein metrics on \(8\#(S^{2}\times S^{3})\). Zbl 1042.53028Boyer, Charles P.; Galicki, Krzysztof 9 2003 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 Sasakian geometry of the Heisenberg group. Zbl 1199.53102Boyer, Charles P. 9 2009 Einstein metrics on rational homology spheres. Zbl 1107.53028Boyer, Charles P.; Galicki, Krzysztof 8 2006 On the homology of SU(n) instantons. Zbl 0725.53065Boyer, Charles P.; Mann, Benjamin M.; Waggoner, Daniel 8 1991 Matrix elements for the most degenerate continuous principal series of representations of SO(p,1). Zbl 0233.22009Boyer, Charles P. 8 1971 Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan 8 2005 On the supplementary series of \(SO_0(p,1)\). Zbl 0255.22019Boyer, Charles P. 8 1973 On the decomposition \(SO(p,1) \supset SO(p-1,1)\) for most degenerate representations. Zbl 0233.22010Boyer, Charles P.; Ardalan, Farhad 7 1971 On Sasaki-Einstein manifolds in dimension five. Zbl 1227.53056Boyer, Charles P.; Nakamaye, Michael 7 2010 Extremal Sasakian geometry on \({T}^{2} \times {S}^{3}\) and related manifolds. Zbl 1288.53033Boyer, Charles P.; Tønnesen-Friedman, Christina W. 6 2013 Extremal Sasakian metrics on \(S^3\)-bundles over \(S^2\). Zbl 1246.53065Boyer, Charles P. 6 2011 The Sasaki cone and extremal Sasakian metrics. Zbl 1171.53033Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 6 2009 The Einstein-Hilbert functional and the Sasaki-Futaki invariant. Zbl 1405.53069Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 5 2017 The twistor space of a 3-Sasakian manifold. Zbl 0887.53043Boyer, Charles P.; Galicki, Krzysztof 5 1997 Einstein metrics on rational homology 7-spheres. Zbl 1023.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 5 2002 Relative K-stability and extremal Sasaki metrics. Zbl 1400.53034Boyer, Charles P.; van Coevering, Craig 5 2018 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 R-separable coordinates for three-dimensional complex Riemannian spaces. Zbl 0391.22012Boyer, C. P.; Kalnins, E. G.; Miller, Willard jun. 5 1978 Sasakian geometry: the recent work of Krzysztof Galicki. Zbl 1200.53002Boyer, Charles P. 5 2009 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 An application of the Duistermaat-Heckman theorem and its extensions in Sasaki geometry. Zbl 1460.53043Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline 4 2018 Hypercomplex structures on Stiefel manifolds. Zbl 0843.53030Boyer, Charles; Galicki, Krzysztof; Mann, Benjamin M. 4 1996 3-Sasakian geometry, nilpotent orbits, and exceptional quotients. Zbl 1003.53032Boyer, Charles P.; Galicki, Krzysztof; Piccinni, Paolo 4 2002 Brieskorn manifolds, positive Sasakian geometry, and contact topology. Zbl 1356.53081Boyer, Charles P.; Macarini, Leonardo; van Koert, Otto 4 2016 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 The Kähler geometry of Bott manifolds. Zbl 1416.53068Boyer, Charles P.; Calderbank, David M. J.; Tønnesen-Friedman, Christina W. 3 2019 On the topology of some Sasaki-Einstein manifolds. Zbl 1314.53080Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 Stability theorems for spaces of rational curves. Zbl 1110.58303Boyer, C. P.; Hurtubise, J. C.; Milgram, R. J. 3 2001 The Atiyah-Jones conjecture. Zbl 0748.32014Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J. 3 1992 Highly connected manifolds with positive Ricci curvature. Zbl 1129.53026Boyer, Charles P.; Galicki, Krzysztof 3 2006 The Sasaki join and admissible Kähler constructions. Zbl 1319.53035Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 Reducibility in Sasakian geometry. Zbl 1444.53035Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 3 2018 Sasakian manifolds with perfect fundamental groups. Zbl 1285.53034Boyer, Charles P.; Tønnesen-Friedman, Christina W. 2 2012 Rational homology 5-spheres with positive Ricci curvature. Zbl 1025.53017Boyer, Charles P.; Galicki, Krzysztof 2 2002 Symmetries of the Hamilton-Jacobi equation. Zbl 0347.35022Boyer, C. P.; Kalnins, E. G. 2 1977 Toric self-dual Einstein metrics as quotients. Zbl 1083.53047Boyer, Charles P.; Calderbank, David M. J.; Galicki, Krzysztof; Piccinni, Paolo 2 2005 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 3-Sasakian manifolds. Zbl 0814.53037Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 2 1993 Instantons and homotopy. Zbl 0685.58037Boyer, Charles P.; Mann, Benjamin M. 2 1989 General relativity and G-structures. I: General theory and algebraically degenerate spaces. Zbl 0423.53027Boyer, Charles P.; Plebanski, Jerzy F. 2 1978 Sasakian geometry and Einstein metrics on spheres. Zbl 1109.53048Boyer, Charles P.; Galicki, Krzysztof 2 2006 Hypercomplex structures from 3-Sasakian structures. Zbl 0908.53026Boyer, Charles P.; Galicki, Krzystof; Mann, Benjamin M. 2 1998 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 Sasaki-Einstein metrics on a class of 7-manifolds. Zbl 1417.53050Boyer, Charles P.; Tønnesen-Friedman, Christina W. 1 2019 Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces. Zbl 0647.53053Boyer, Charles 1 1988 Separation of variables in Einstein spaces. II. No ignorable coordinates. Zbl 0467.53018Boyer, Charles P. 1 1980 On the structure of supermanifolds. Zbl 0506.58002Boyer, Charles P. 1 1982 The geometry of complex self-dual Einstein spaces. Zbl 0527.53040Boyer, Charles P. 1 1983 General relativity and gravitation. One hundred years after the birth of Albert Einstein. Volumes 1, 2. Zbl 0537.00011 1 1980 Quaternionic geometry and \(3\)-Sasakian manifolds. Zbl 0942.53030Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1998 New examples of inhomogeneous Einstein manifolds of positive scalar curvature. Zbl 0842.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 Some new examples of compact inhomogeneous hypercomplex manifolds. Zbl 0841.53041Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 On strongly inhomogeneous Einstein manifolds. Zbl 0862.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1996 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 A relationship between Lie theory and continued fraction expansions for special functions. Zbl 0368.40004Boyer, C. P.; Miller, W. jun. 1 1977 The Kähler geometry of Bott manifolds. Zbl 1416.53068Boyer, Charles P.; Calderbank, David M. J.; Tønnesen-Friedman, Christina W. 3 2019 Sasaki-Einstein metrics on a class of 7-manifolds. Zbl 1417.53050Boyer, Charles P.; Tønnesen-Friedman, Christina W. 1 2019 Relative K-stability and extremal Sasaki metrics. Zbl 1400.53034Boyer, Charles P.; van Coevering, Craig 5 2018 An application of the Duistermaat-Heckman theorem and its extensions in Sasaki geometry. Zbl 1460.53043Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline 4 2018 Reducibility in Sasakian geometry. Zbl 1444.53035Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 3 2018 The Einstein-Hilbert functional and the Sasaki-Futaki invariant. Zbl 1405.53069Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W. 5 2017 The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature. Zbl 1338.53068Boyer, Charles P.; Tønnesen-Friedman, Christina W. 10 2016 Brieskorn manifolds, positive Sasakian geometry, and contact topology. Zbl 1356.53081Boyer, Charles P.; Macarini, Leonardo; van Koert, Otto 4 2016 On the topology of some Sasaki-Einstein manifolds. Zbl 1314.53080Boyer, Charles P.; Tønnesen-Friedman, Christina W. 3 2015 The Sasaki join and admissible Kähler constructions. Zbl 1319.53035Boyer, 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 12 2014 Extremal Sasakian geometry on \(S^{3}\)-bundles over Riemann surfaces. Zbl 1307.53036Boyer, Charles P.; Tønnesen-Friedman, Christina W. 11 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. 6 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 10 2010 On Sasaki-Einstein manifolds in dimension five. Zbl 1227.53056Boyer, Charles P.; Nakamaye, Michael 7 2010 The Sasakian geometry of the Heisenberg group. Zbl 1199.53102Boyer, Charles P. 9 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. 5 2009 Sasakian geometry. Zbl 1155.53002Boyer, Charles P.; Galicki, Krzysztof 154 2008 Canonical Sasakian metrics. Zbl 1142.53036Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R. 36 2008 Constructions in Sasakian geometry. Zbl 1134.53021Boyer, Charles P.; Galicki, Krzysztof; Ornea, Liviu 25 2007 On \(\eta\)-Einstein Sasakian geometry. Zbl 1103.53022Boyer, Charles P.; Galicki, Krzysztof; Matzeu, Paola 68 2006 Einstein metrics on rational homology spheres. Zbl 1107.53028Boyer, Charles P.; Galicki, Krzysztof 8 2006 Highly connected manifolds with positive Ricci curvature. Zbl 1129.53026Boyer, Charles P.; Galicki, Krzysztof 3 2006 Sasakian geometry and Einstein metrics on spheres. Zbl 1109.53048Boyer, 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 50 2005 Sasakian geometry, hypersurface singularities, and Einstein metrics. Zbl 1101.53023Boyer, Charles P.; Galicki, Krzysztof 14 2005 Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan 8 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 38 2003 On positive Sasakian geometry. Zbl 1046.53029Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 18 2003 Sasakian geometry, homotopy spheres and positive Ricci curvature. Zbl 1066.53089Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael 16 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 10 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 56 2001 New Einstein metrics in dimension five. Zbl 1039.53048Boyer, Charles P.; Galicki, Krzysztof 19 2001 Stability theorems for spaces of rational curves. Zbl 1110.58303Boyer, C. P.; Hurtubise, J. C.; Milgram, R. J. 3 2001 On Sasakian-Einstein geometry. Zbl 1022.53038Boyer, Charles P.; Galicki, Krzysztof 64 2000 A note on toric contact geometry. Zbl 0984.53032Boyer, Charles P.; Galicki, Krzysztof 24 2000 3-Sasakian manifolds. Zbl 1008.53047Boyer, Charles; Galicki, Krzysztof 67 1999 Compact 3-Sasakian 7-manifolds with arbitrary second Betti number. Zbl 0901.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.; Rees, Elmer G. 13 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. 51 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 New examples of inhomogeneous Einstein manifolds of positive scalar curvature. Zbl 0842.53033Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 Some new examples of compact inhomogeneous hypercomplex manifolds. Zbl 0841.53041Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 1 1994 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. 21 1993 Quaternionic reduction and Einstein manifolds. Zbl 0856.53038Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M. 20 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. 3 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 8 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. 49 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 1 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. 18 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 The geometry of complex self-dual Einstein spaces. Zbl 0527.53040Boyer, Charles P. 1 1983 Killing vectors in self-dual, Euclidean Einstein spaces. Zbl 0484.53051Boyer, C. P.; Finley, J. D. III 59 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 General relativity and gravitation. One hundred years after the birth of Albert Einstein. Volumes 1, 2. Zbl 0537.00011 1 1980 Separable coordinates for four-dimensional Riemannian spaces. Zbl 0377.53009Boyer, C. P.; Kalnins, E. G. 14 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 R-separable coordinates for three-dimensional complex Riemannian spaces. Zbl 0391.22012Boyer, C. P.; Kalnins, E. G.; Miller, Willard 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 Symmetries of the Hamilton-Jacobi equation. Zbl 0347.35022Boyer, C. P.; Kalnins, E. G. 2 1977 A relationship between Lie theory and continued fraction expansions for special functions. Zbl 0368.40004Boyer, C. P.; Miller, W. jun. 1 1977 Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0314.33011Boyer, C. P.; Kalnins, E. G.; Miller, W. jun. 24 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 ...and 3 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 863 Authors 46 Boyer, Charles P. 26 Kalnins, Ernest G. 24 Miller, Willard jun. 20 Ghosh, Amalendu 16 Winternitz, Pavel 13 Galicki, Krzysztof 13 Ornea, Liviu 13 Wolf, Kurt Bernardo 11 Ivanov, Stefan P. 11 Perrone, Domenico 11 Verbitsky, Misha 10 Ferapontov, Evgeny Vladimirovich 10 Tønnesen-Friedman, Christina Wiis 9 Calderbank, David M. J. 9 Dunajski, Maciej 9 Piccinni, Paolo 8 Mann, Benjamin Michael 8 Sharma, Ramesh 7 Apostolov, Vestislav 7 Cappelletti Montano, Beniamino 7 Legendre, Eveline 7 Patra, Dhriti Sundar 7 Vezzoni, Luigi 6 Alekseevskiĭ, Dmitriĭ Vladimirovich 6 Baudoin, Fabrice 6 Beldjilali, Gherici 6 Gauduchon, Paul 6 Habib, Georges 6 He, Weiyong 6 Kress, Jonathan M. 6 LeBrun, Claude R. 6 McLenaghan, Raymond G. 6 Moroianu, Andrei 6 Sparks, James 6 Takasaki, Kanehisa 6 Zabzine, Maxim 5 Alesker, Semyon 5 Biswas, Indranil 5 Conti, Diego 5 De Nicola, Antonio 5 Friedrich, Thomas 5 Goertsches, Oliver 5 Grantcharov, Gueo 5 Hurtubise, Jacques C. 5 Lima-Filho, Paulo 5 Martelli, Dario 5 Milgram, Richard James 5 Muñoz Velázquez, Vicente 5 Patera, Jiří 5 Pontecorvo, Massimiliano 5 Qiu, Jian 5 Schäfer, Lars 5 Vassilev, Dimiter N. 5 Zhang, Xi 4 Basu, Debabrata 4 Cheltsov, Ivan Anatol’evich 4 Chrysikos, Ioannis 4 Collins, Tristan Clifford 4 del Olmo, Mariano A. 4 Dileo, Giulia 4 Fernández Rodríguez, Marisa 4 Fino, Anna 4 Futaki, Akito 4 Gasparim, Elizabeth 4 Kamishima, Yoshinobu 4 Kamiyama, Yasuhiko 4 Lechtenfeld, Olaf 4 Mason, Lionel J. 4 Miller, Jeremy A. 4 Pestov, Vladimir G. 4 Plebański, Jerzy Franciszek 4 Popov, Alexander D. 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 Tralle, Aleksy E. 4 Wolak, Robert A. 4 Yamaguchi, Kohhei 4 Yang, Hyun Seok 3 Ballico, Edoardo 3 Bazzoni, Giovanni 3 Błaszak, Maciej 3 Bruzzo, Ugo 3 Chanu, Claudia Maria 3 Cherif, Ahmed Mohammed 3 Cho, Jong Taek 3 Choi, Younggi 3 Cohen, Ralph L. 3 Cohl, Howard Saul 3 Davidov, Johann T. 3 Deshmukh, Sharief 3 Dong, Yuxin 3 Fushchych, Vil’gel’m Illich 3 Geiges, Hansjörg 3 Geipel, Jakob C. 3 Harnad, John ...and 763 more Authors all top 5 Cited in 185 Serials 102 Journal of Mathematical Physics 69 Journal of Geometry and Physics 42 Communications in Mathematical Physics 32 Annals of Global Analysis and Geometry 32 Differential Geometry and its Applications 32 Journal of High Energy Physics 23 Transactions of the American Mathematical Society 21 Mathematische Zeitschrift 19 The Journal of Geometric Analysis 18 International Journal of Mathematics 17 Nuclear Physics. 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RACSAM 1 Applicable Analysis 1 Astronomische Nachrichten 1 Communications in Algebra 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes ...and 85 more Serials all top 5 Cited in 46 Fields 562 Differential geometry (53-XX) 122 Global analysis, analysis on manifolds (58-XX) 115 Quantum theory (81-XX) 111 Several complex variables and analytic spaces (32-XX) 108 Partial differential equations (35-XX) 80 Algebraic geometry (14-XX) 74 Relativity and gravitational theory (83-XX) 70 Manifolds and cell complexes (57-XX) 66 Dynamical systems and ergodic theory (37-XX) 50 Algebraic topology (55-XX) 49 Topological groups, Lie groups (22-XX) 41 Mechanics of particles and systems (70-XX) 28 Nonassociative rings and algebras (17-XX) 10 Functions of a complex variable (30-XX) 8 Ordinary differential equations (34-XX) 7 Special functions (33-XX) 7 Functional analysis (46-XX) 7 Optics, electromagnetic theory (78-XX) 6 Associative rings and algebras (16-XX) 6 \(K\)-theory (19-XX) 5 Group theory and generalizations (20-XX) 5 Integral transforms, operational calculus (44-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Operator theory (47-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 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Potential theory (31-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Mechanics of deformable solids (74-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 Measure and integration (28-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX) Citations by Year