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Boyer, Charles P.

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Author ID: boyer.charles-p Recent zbMATH articles by "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
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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

Publications by Year

Citations contained in zbMATH Open

100 Publications have been cited 1,296 times in 791 Documents Cited by Year
Sasakian geometry. Zbl 1155.53002
Boyer, Charles P.; Galicki, Krzysztof
134
2008
3-Sasakian manifolds. Zbl 1008.53047
Boyer, Charles; Galicki, Krzysztof
73
1999
Killing vectors in self-dual, Euclidean Einstein spaces. Zbl 0484.53051
Boyer, C. P.; Finley, J. D. III
57
1982
On Sasakian-Einstein geometry. Zbl 1022.53038
Boyer, Charles P.; Galicki, Krzysztof
56
2000
On \(\eta\)-Einstein Sasakian geometry. Zbl 1103.53022
Boyer, Charles P.; Galicki, Krzysztof; Matzeu, Paola
54
2006
The geometry and topology of 3-Sasakian manifolds. Zbl 0889.53029
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
48
1994
A note on hyperhermitian four-manifolds. Zbl 0642.53073
Boyer, Charles P.
48
1988
Einstein manifolds and contact geometry. Zbl 0981.53027
Boyer, Charles P.; Galicki, Krzysztof
44
2001
Einstein metrics on spheres. Zbl 1093.53044
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János
43
2005
On the geometry of Sasakian-Einstein 5-manifolds. Zbl 1046.53028
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
37
2003
Canonical Sasakian metrics. Zbl 1142.53036
Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R.
33
2008
Conformal duality and compact complex surfaces. Zbl 0571.32017
Boyer, Charles P.
28
1986
Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0314.33011
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun.
25
1976
Constructions in Sasakian geometry. Zbl 1134.53021
Boyer, Charles P.; Galicki, Krzysztof; Ornea, Liviu
23
2007
A note on toric contact geometry. Zbl 0984.53032
Boyer, Charles P.; Galicki, Krzysztof
23
2000
Quaternionic reduction and Einstein manifolds. Zbl 0856.53038
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
20
1993
The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture. Zbl 0816.55002
Boyer, 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 0295.35020
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun.
19
1975
Symmetry breaking interactions for the time dependent Schrödinger equation. Zbl 0326.35019
Boyer, C. P.; Sharp, R. T.; Winternitz, P.
18
1976
New Einstein metrics in dimension five. Zbl 1039.53048
Boyer, Charles P.; Galicki, Krzysztof
17
2001
An infinite hierarchy of conservation laws and nonlinear superposition principles for self-dual Einstein spaces. Zbl 0555.53044
Boyer, Charles P.; Plebański, Jerzy F.
17
1985
On positive Sasakian geometry. Zbl 1046.53029
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
16
2003
Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces. Zbl 0656.58049
Boyer, Charles P.; Mann, Benjamin M.
16
1988
Stäckel-equivalent integrable Hamiltonian systems. Zbl 0607.58015
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun.
16
1986
Sasakian geometry, hypersurface singularities, and Einstein metrics. Zbl 1101.53023
Boyer, Charles P.; Galicki, Krzysztof
15
2005
Sasakian geometry, homotopy spheres and positive Ricci curvature. Zbl 1066.53089
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
15
2003
The theory of \(G^{\infty}\)-supermanifolds. Zbl 0543.58002
Boyer, Charles P.; Gitler, Samuel
14
1984
Separable coordinates for four-dimensional Riemannian spaces. Zbl 0377.53009
Boyer, C. P.; Kalnins, E. G.
14
1978
The topology of the space of rational maps into generalized flag manifolds. Zbl 0844.57037
Boyer, C. P.; Mann, B. M.; Hurtubise, J. C.; Milgram, R. J.
13
1994
Compact 3-Sasakian 7-manifolds with arbitrary second Betti number. Zbl 0901.53033
Boyer, 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 1301.53080
Boyer, Charles P.; Pati, Justin
11
2014
Sasakian geometry, holonomy, and supersymmetry. Zbl 1254.53003
Boyer, Charles P.; Galicki, Krzysztof
11
2010
Lie supergroup actions on supermanifolds. Zbl 0724.58005
Boyer, Charles P.; Sánchez Valenzuela, O. A.
11
1991
Separation of variables for the Hamilton-Jacobi equation on complex projective spaces. Zbl 0569.35012
Boyer, C. P.; Kalnins, E. G.; Winternitz, P.
11
1985
Extremal Sasakian geometry on \(S^{3}\)-bundles over Riemann surfaces. Zbl 1307.53036
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
10
2014
Maximal tori in contactomorphism groups. Zbl 1281.53081
Boyer, Charles P.
10
2013
Completely integrable contact Hamiltonian systems and toric contact structures on \(S^{2}\times S^{3}\). Zbl 1242.53112
Boyer, Charles P.
10
2011
Algebraic cycles and infinite loop spaces. Zbl 0797.55006
Boyer, 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 1112.53033
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan
9
2005
New Einstein metrics on \(8\#(S^{2}\times S^{3})\). Zbl 1042.53028
Boyer, Charles P.; Galicki, Krzysztof
9
2003
Sasakian-Einstein structures on \(9\#(S^2\times S^3)\). Zbl 1003.53038
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
9
2002
On the homology of SU(n) instantons. Zbl 0725.53065
Boyer, 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 0673.53038
Boyer, C. P.; Winternitz, P.
9
1989
Homology operations on instantons. Zbl 0666.55003
Boyer, 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 0324.44003
Boyer, Charles P.; Wolf, Kurt Bernardo
9
1975
The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature. Zbl 1338.53068
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
8
2016
Einstein metrics on rational homology spheres. Zbl 1107.53028
Boyer, Charles P.; Galicki, Krzysztof
8
2006
On the supplementary series of \(SO_0(p,1)\). Zbl 0255.22019
Boyer, Charles P.
8
1973
Matrix elements for the most degenerate continuous principal series of representations of SO(p,1). Zbl 0233.22009
Boyer, Charles P.
8
1971
The Sasakian geometry of the Heisenberg group. Zbl 1199.53102
Boyer, Charles P.
7
2009
On the decomposition \(SO(p,1) \supset SO(p-1,1)\) for most degenerate representations. Zbl 0233.22010
Boyer, Charles P.; Ardalan, Farhad
7
1971
Extremal Sasakian metrics on \(S^3\)-bundles over \(S^2\). Zbl 1246.53065
Boyer, Charles P.
6
2011
On Sasaki-Einstein manifolds in dimension five. Zbl 1227.53056
Boyer, Charles P.; Nakamaye, Michael
6
2010
The Sasaki cone and extremal Sasakian metrics. Zbl 1171.53033
Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R.
6
2009
Einstein metrics on rational homology 7-spheres. Zbl 1023.53029
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
5
2002
The twistor space of a 3-Sasakian manifold. Zbl 0887.53043
Boyer, Charles P.; Galicki, Krzysztof
5
1997
R-separable coordinates for three-dimensional complex Riemannian spaces. Zbl 0391.22012
Boyer, 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 0365.70021
Boyer, 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 0293.17008
Wolf, Kurt Bernardo; Boyer, Charles P.
5
1974
The Einstein-Hilbert functional and the Sasaki-Futaki invariant. Zbl 1405.53069
Boyer, 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 1288.53033
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
4
2013
Sasakian geometry: the recent work of Krzysztof Galicki. Zbl 1200.53002
Boyer, Charles P.
4
2009
3-Sasakian geometry, nilpotent orbits, and exceptional quotients. Zbl 1003.53032
Boyer, Charles P.; Galicki, Krzysztof; Piccinni, Paolo
4
2002
Stability theorems for spaces of rational curves. Zbl 1110.58303
Boyer, C. P.; Hurtubise, J. C.; Milgram, R. J.
4
2001
Hypercomplex structures on Stiefel manifolds. Zbl 0843.53030
Boyer, Charles; Galicki, Krzysztof; Mann, Benjamin M.
4
1996
Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces. Zbl 0647.53053
Boyer, 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 0326.35017
Boyer, Charles P.
4
1976
Lie theory and separation of variables. VII: The harmonic oscillator in elliptic coordinates and Ince polynomials. Zbl 0295.35021
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun.
4
1975
Relative K-stability and extremal Sasaki metrics. Zbl 1400.53034
Boyer, Charles P.; van Coevering, Craig
3
2018
The Sasaki join and admissible Kähler constructions. Zbl 1319.53035
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
3
2015
On the topology of some Sasaki-Einstein manifolds. Zbl 1314.53080
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
3
2015
Sasakian geometry and Einstein metrics on spheres. Zbl 1109.53048
Boyer, Charles P.; Galicki, Krzysztof
3
2006
The Kähler geometry of Bott manifolds. Zbl 1416.53068
Boyer, 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 1460.53043
Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline
2
2018
Reducibility in Sasakian geometry. Zbl 1444.53035
Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W.
2
2018
Brieskorn manifolds, positive Sasakian geometry, and contact topology. Zbl 1356.53081
Boyer, Charles P.; Macarini, Leonardo; van Koert, Otto
2
2016
Sasakian manifolds with perfect fundamental groups. Zbl 1285.53034
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
2
2012
Highly connected manifolds with positive Ricci curvature. Zbl 1129.53026
Boyer, Charles P.; Galicki, Krzysztof
2
2006
Toric self-dual Einstein metrics as quotients. Zbl 1083.53047
Boyer, Charles P.; Calderbank, David M. J.; Galicki, Krzysztof; Piccinni, Paolo
2
2005
Rational homology 5-spheres with positive Ricci curvature. Zbl 1025.53017
Boyer, Charles P.; Galicki, Krzysztof
2
2002
Hypercomplex structures from 3-Sasakian structures. Zbl 0908.53026
Boyer, Charles P.; Galicki, Krzystof; Mann, Benjamin M.
2
1998
3-Sasakian manifolds. Zbl 0814.53037
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
2
1993
The Atiyah-Jones conjecture. Zbl 0748.32014
Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J.
2
1992
Instantons and homotopy. Zbl 0685.58037
Boyer, Charles P.; Mann, Benjamin M.
2
1989
Separation of variables in Einstein spaces. I: Two ignorable and one null coordinate. Zbl 0467.53017
Boyer, Charles P.; Kalnins, E. G.; Miller, W. jun.
2
1981
General relativity and G-structures. I: General theory and algebraically degenerate spaces. Zbl 0423.53027
Boyer, Charles P.; Plebanski, Jerzy F.
2
1978
A relationship between Lie theory and continued fraction expansions for special functions. Zbl 0368.40004
Boyer, C. P.; Miller, W. jun.
2
1977
Symmetries of the Hamilton-Jacobi equation. Zbl 0347.35022
Boyer, 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 0284.22008
Boyer, Charles P.; Wolf, Kurt Bernardo
2
1974
Erratum and Addendum for “Rational homology 5-spheres with positive Ricci curvature”. Zbl 1116.53022
Boyer, Charles P.; Galicki, Krzysztof
1
2006
Quaternionic geometry and \(3\)-Sasakian manifolds. Zbl 0942.53030
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1998
On strongly inhomogeneous Einstein manifolds. Zbl 0862.53038
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1996
Some new examples of compact inhomogeneous hypercomplex manifolds. Zbl 0841.53041
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1994
New examples of inhomogeneous Einstein manifolds of positive scalar curvature. Zbl 0842.53033
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1994
The hyperkähler geometry of the ADHM construction and quaternionic geometric invariant theory. Zbl 0791.58028
Boyer, Charles P.; Mann, Benjamin M.
1
1993
Some problems of elementary calculus in superdomains (with a survey on the theory of supermanifolds). Zbl 0689.14002
Boyer, Charles P.; Sánchez Valenzuela, O. A.
1
1988
On the structure of supermanifolds. Zbl 0506.58002
Boyer, Charles P.
1
1982
Separation of variables in Einstein spaces. II. No ignorable coordinates. Zbl 0467.53018
Boyer, Charles P.
1
1980
Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0306.33006
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun.
1
1976
Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups. Zbl 0284.17005
Boyer, Charles P.; Wolf, Kurt Bernardo
1
1973
The Kähler geometry of Bott manifolds. Zbl 1416.53068
Boyer, Charles P.; Calderbank, David M. J.; Tønnesen-Friedman, Christina W.
2
2019
Relative K-stability and extremal Sasaki metrics. Zbl 1400.53034
Boyer, Charles P.; van Coevering, Craig
3
2018
An application of the Duistermaat-Heckman theorem and its extensions in Sasaki geometry. Zbl 1460.53043
Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline
2
2018
Reducibility in Sasakian geometry. Zbl 1444.53035
Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W.
2
2018
The Einstein-Hilbert functional and the Sasaki-Futaki invariant. Zbl 1405.53069
Boyer, Charles P.; Huang, Hongnian; Legendre, Eveline; Tønnesen-Friedman, Christina W.
4
2017
The Sasaki join, Hamiltonian 2-forms, and constant scalar curvature. Zbl 1338.53068
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
8
2016
Brieskorn manifolds, positive Sasakian geometry, and contact topology. Zbl 1356.53081
Boyer, Charles P.; Macarini, Leonardo; van Koert, Otto
2
2016
The Sasaki join and admissible Kähler constructions. Zbl 1319.53035
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
3
2015
On the topology of some Sasaki-Einstein manifolds. Zbl 1314.53080
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
3
2015
On the equivalence problem for toric contact structures on \(S^3\)-bundles over \(S^2\). Zbl 1301.53080
Boyer, Charles P.; Pati, Justin
11
2014
Extremal Sasakian geometry on \(S^{3}\)-bundles over Riemann surfaces. Zbl 1307.53036
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
10
2014
Maximal tori in contactomorphism groups. Zbl 1281.53081
Boyer, Charles P.
10
2013
Extremal Sasakian geometry on \({T}^{2} \times {S}^{3}\) and related manifolds. Zbl 1288.53033
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
4
2013
Sasakian manifolds with perfect fundamental groups. Zbl 1285.53034
Boyer, Charles P.; Tønnesen-Friedman, Christina W.
2
2012
Completely integrable contact Hamiltonian systems and toric contact structures on \(S^{2}\times S^{3}\). Zbl 1242.53112
Boyer, Charles P.
10
2011
Extremal Sasakian metrics on \(S^3\)-bundles over \(S^2\). Zbl 1246.53065
Boyer, Charles P.
6
2011
Sasakian geometry, holonomy, and supersymmetry. Zbl 1254.53003
Boyer, Charles P.; Galicki, Krzysztof
11
2010
On Sasaki-Einstein manifolds in dimension five. Zbl 1227.53056
Boyer, Charles P.; Nakamaye, Michael
6
2010
The Sasakian geometry of the Heisenberg group. Zbl 1199.53102
Boyer, Charles P.
7
2009
The Sasaki cone and extremal Sasakian metrics. Zbl 1171.53033
Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R.
6
2009
Sasakian geometry: the recent work of Krzysztof Galicki. Zbl 1200.53002
Boyer, Charles P.
4
2009
Sasakian geometry. Zbl 1155.53002
Boyer, Charles P.; Galicki, Krzysztof
134
2008
Canonical Sasakian metrics. Zbl 1142.53036
Boyer, Charles P.; Galicki, Krzysztof; Simanca, Santiago R.
33
2008
Constructions in Sasakian geometry. Zbl 1134.53021
Boyer, Charles P.; Galicki, Krzysztof; Ornea, Liviu
23
2007
On \(\eta\)-Einstein Sasakian geometry. Zbl 1103.53022
Boyer, Charles P.; Galicki, Krzysztof; Matzeu, Paola
54
2006
Einstein metrics on rational homology spheres. Zbl 1107.53028
Boyer, Charles P.; Galicki, Krzysztof
8
2006
Sasakian geometry and Einstein metrics on spheres. Zbl 1109.53048
Boyer, Charles P.; Galicki, Krzysztof
3
2006
Highly connected manifolds with positive Ricci curvature. Zbl 1129.53026
Boyer, Charles P.; Galicki, Krzysztof
2
2006
Erratum and Addendum for “Rational homology 5-spheres with positive Ricci curvature”. Zbl 1116.53022
Boyer, Charles P.; Galicki, Krzysztof
1
2006
Einstein metrics on spheres. Zbl 1093.53044
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János
43
2005
Sasakian geometry, hypersurface singularities, and Einstein metrics. Zbl 1101.53023
Boyer, Charles P.; Galicki, Krzysztof
15
2005
Einstein metrics on exotic spheres in dimensions 7, 11 and 15. Zbl 1112.53033
Boyer, Charles P.; Galicki, Krzysztof; Kollár, János; Thomas, Evan
9
2005
Toric self-dual Einstein metrics as quotients. Zbl 1083.53047
Boyer, Charles P.; Calderbank, David M. J.; Galicki, Krzysztof; Piccinni, Paolo
2
2005
On the geometry of Sasakian-Einstein 5-manifolds. Zbl 1046.53028
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
37
2003
On positive Sasakian geometry. Zbl 1046.53029
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
16
2003
Sasakian geometry, homotopy spheres and positive Ricci curvature. Zbl 1066.53089
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
15
2003
New Einstein metrics on \(8\#(S^{2}\times S^{3})\). Zbl 1042.53028
Boyer, Charles P.; Galicki, Krzysztof
9
2003
Sasakian-Einstein structures on \(9\#(S^2\times S^3)\). Zbl 1003.53038
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
9
2002
Einstein metrics on rational homology 7-spheres. Zbl 1023.53029
Boyer, Charles P.; Galicki, Krzysztof; Nakamaye, Michael
5
2002
3-Sasakian geometry, nilpotent orbits, and exceptional quotients. Zbl 1003.53032
Boyer, Charles P.; Galicki, Krzysztof; Piccinni, Paolo
4
2002
Rational homology 5-spheres with positive Ricci curvature. Zbl 1025.53017
Boyer, Charles P.; Galicki, Krzysztof
2
2002
Einstein manifolds and contact geometry. Zbl 0981.53027
Boyer, Charles P.; Galicki, Krzysztof
44
2001
New Einstein metrics in dimension five. Zbl 1039.53048
Boyer, Charles P.; Galicki, Krzysztof
17
2001
Stability theorems for spaces of rational curves. Zbl 1110.58303
Boyer, C. P.; Hurtubise, J. C.; Milgram, R. J.
4
2001
On Sasakian-Einstein geometry. Zbl 1022.53038
Boyer, Charles P.; Galicki, Krzysztof
56
2000
A note on toric contact geometry. Zbl 0984.53032
Boyer, Charles P.; Galicki, Krzysztof
23
2000
3-Sasakian manifolds. Zbl 1008.53047
Boyer, Charles; Galicki, Krzysztof
73
1999
Compact 3-Sasakian 7-manifolds with arbitrary second Betti number. Zbl 0901.53033
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.; Rees, Elmer G.
12
1998
Hypercomplex structures from 3-Sasakian structures. Zbl 0908.53026
Boyer, Charles P.; Galicki, Krzystof; Mann, Benjamin M.
2
1998
Quaternionic geometry and \(3\)-Sasakian manifolds. Zbl 0942.53030
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1998
The twistor space of a 3-Sasakian manifold. Zbl 0887.53043
Boyer, Charles P.; Galicki, Krzysztof
5
1997
Hypercomplex structures on Stiefel manifolds. Zbl 0843.53030
Boyer, Charles; Galicki, Krzysztof; Mann, Benjamin M.
4
1996
On strongly inhomogeneous Einstein manifolds. Zbl 0862.53038
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1996
The geometry and topology of 3-Sasakian manifolds. Zbl 0889.53029
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
48
1994
The topology of the space of rational maps into generalized flag manifolds. Zbl 0844.57037
Boyer, C. P.; Mann, B. M.; Hurtubise, J. C.; Milgram, R. J.
13
1994
Some new examples of compact inhomogeneous hypercomplex manifolds. Zbl 0841.53041
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1994
New examples of inhomogeneous Einstein manifolds of positive scalar curvature. Zbl 0842.53033
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
1
1994
Quaternionic reduction and Einstein manifolds. Zbl 0856.53038
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
20
1993
The topology of instanton moduli spaces. I: The Atiyah-Jones conjecture. Zbl 0816.55002
Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J.
19
1993
Algebraic cycles and infinite loop spaces. Zbl 0797.55006
Boyer, Charles P.; Lawson, H. Blaine jun.; Lima-Filho, Paulo; Mann, Benjamin M.; Michelsohn, Marie-Louise
10
1993
3-Sasakian manifolds. Zbl 0814.53037
Boyer, Charles P.; Galicki, Krzysztof; Mann, Benjamin M.
2
1993
The hyperkähler geometry of the ADHM construction and quaternionic geometric invariant theory. Zbl 0791.58028
Boyer, Charles P.; Mann, Benjamin M.
1
1993
The Atiyah-Jones conjecture. Zbl 0748.32014
Boyer, C. P.; Hurtubise, J. C.; Mann, B. M.; Milgram, R. J.
2
1992
Lie supergroup actions on supermanifolds. Zbl 0724.58005
Boyer, Charles P.; Sánchez Valenzuela, O. A.
11
1991
On the homology of SU(n) instantons. Zbl 0725.53065
Boyer, 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 0673.53038
Boyer, C. P.; Winternitz, P.
9
1989
Instantons and homotopy. Zbl 0685.58037
Boyer, Charles P.; Mann, Benjamin M.
2
1989
A note on hyperhermitian four-manifolds. Zbl 0642.53073
Boyer, Charles P.
48
1988
Monopoles, non-linear \(\sigma\) models, and two-fold loop spaces. Zbl 0656.58049
Boyer, Charles P.; Mann, Benjamin M.
16
1988
Homology operations on instantons. Zbl 0666.55003
Boyer, Charles P.; Mann, Benjamin M.
9
1988
Self-dual and anti-self-dual Hermitian metrics on compact complex surfaces. Zbl 0647.53053
Boyer, Charles
4
1988
Some problems of elementary calculus in superdomains (with a survey on the theory of supermanifolds). Zbl 0689.14002
Boyer, Charles P.; Sánchez Valenzuela, O. A.
1
1988
Conformal duality and compact complex surfaces. Zbl 0571.32017
Boyer, Charles P.
28
1986
Stäckel-equivalent integrable Hamiltonian systems. Zbl 0607.58015
Boyer, 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 0555.53044
Boyer, Charles P.; Plebański, Jerzy F.
17
1985
Separation of variables for the Hamilton-Jacobi equation on complex projective spaces. Zbl 0569.35012
Boyer, C. P.; Kalnins, E. G.; Winternitz, P.
11
1985
The theory of \(G^{\infty}\)-supermanifolds. Zbl 0543.58002
Boyer, Charles P.; Gitler, Samuel
14
1984
Killing vectors in self-dual, Euclidean Einstein spaces. Zbl 0484.53051
Boyer, C. P.; Finley, J. D. III
57
1982
On the structure of supermanifolds. Zbl 0506.58002
Boyer, Charles P.
1
1982
Separation of variables in Einstein spaces. I: Two ignorable and one null coordinate. Zbl 0467.53017
Boyer, Charles P.; Kalnins, E. G.; Miller, W. jun.
2
1981
Separation of variables in Einstein spaces. II. No ignorable coordinates. Zbl 0467.53018
Boyer, Charles P.
1
1980
Separable coordinates for four-dimensional Riemannian spaces. Zbl 0377.53009
Boyer, C. P.; Kalnins, E. G.
14
1978
R-separable coordinates for three-dimensional complex Riemannian spaces. Zbl 0391.22012
Boyer, 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 0365.70021
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun
5
1978
General relativity and G-structures. I: General theory and algebraically degenerate spaces. Zbl 0423.53027
Boyer, Charles P.; Plebanski, Jerzy F.
2
1978
A relationship between Lie theory and continued fraction expansions for special functions. Zbl 0368.40004
Boyer, C. P.; Miller, W. jun.
2
1977
Symmetries of the Hamilton-Jacobi equation. Zbl 0347.35022
Boyer, C. P.; Kalnins, E. G.
2
1977
Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0314.33011
Boyer, C. P.; Kalnins, E. G.; Miller, W. jun.
25
1976
Symmetry breaking interactions for the time dependent Schrödinger equation. Zbl 0326.35019
Boyer, 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 0326.35017
Boyer, Charles P.
4
1976
Symmetry and separation of variables for the Helmholtz and Laplace equations. Zbl 0306.33006
Boyer, 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 0295.35020
Boyer, 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 0324.44003
Boyer, Charles P.; Wolf, Kurt Bernardo
9
1975
Lie theory and separation of variables. VII: The harmonic oscillator in elliptic coordinates and Ince polynomials. Zbl 0295.35021
Boyer, 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 0293.17008
Wolf, 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 0284.22008
Boyer, Charles P.; Wolf, Kurt Bernardo
2
1974
On the supplementary series of \(SO_0(p,1)\). Zbl 0255.22019
Boyer, Charles P.
8
1973
Deformations of inhomogeneous classical Lie algebras to the algebras of the linear groups. Zbl 0284.17005
Boyer, Charles P.; Wolf, Kurt Bernardo
1
1973
Matrix elements for the most degenerate continuous principal series of representations of SO(p,1). Zbl 0233.22009
Boyer, Charles P.
8
1971
On the decomposition \(SO(p,1) \supset SO(p-1,1)\) for most degenerate representations. Zbl 0233.22010
Boyer, Charles P.; Ardalan, Farhad
7
1971
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. B
15 Mathematische Annalen
15 International Journal of Mathematics
15 The Journal of Geometric Analysis
14 Advances in Mathematics
13 Topology and its Applications
12 Proceedings of the American Mathematical Society
11 Letters in Mathematical Physics
11 Geometriae Dedicata
10 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Geometry & Topology
8 Annales de l’Institut Fourier
7 Results in Mathematics
7 International Journal of Geometric Methods in Modern Physics
7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
6 Journal of Mathematical Analysis and Applications
6 Inventiones Mathematicae
6 Tohoku Mathematical Journal. Second Series
5 General Relativity and Gravitation
5 Compositio Mathematica
5 Duke Mathematical Journal
5 Journal für die Reine und Angewandte Mathematik
5 Journal of Mathematical Sciences (New York)
4 International Journal of Modern Physics A
4 Theoretical and Mathematical Physics
4 Beiträge zur Algebra und Geometrie
4 Journal of the Mathematical Society of Japan
4 Proceedings of the Edinburgh Mathematical Society. Series II
4 Publications of the Research Institute for Mathematical Sciences, Kyoto University
4 Transformation Groups
4 Central European Journal of Mathematics
3 Bulletin of the Australian Mathematical Society
3 Israel Journal of Mathematics
3 Rocky Mountain Journal of Mathematics
3 Journal of Geometry
3 Monatshefte für Mathematik
3 Acta Applicandae Mathematicae
3 Bulletin of the American Mathematical Society. New Series
3 Calculus of Variations and Partial Differential Equations
3 Mediterranean Journal of Mathematics
3 Axioms
3 Complex Manifolds
2 Archive for Rational Mechanics and Analysis
2 International Journal of Theoretical Physics
2 Journal of Computational Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Nonlinearity
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica
2 Annales Polonici Mathematici
2 Glasgow Mathematical Journal
2 Journal of Functional Analysis
2 Journal of Pure and Applied Algebra
2 Kodai Mathematical Journal
2 Manuscripta Mathematica
2 Memoirs of the American Mathematical Society
2 Osaka Journal of Mathematics
2 Proceedings of the Japan Academy. Series A
2 Studies in Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Acta Mathematica Hungarica
2 Geometric and Functional Analysis. 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. A
1 Reports on Mathematical Physics
1 Ukrainian Mathematical Journal
1 Reviews in Mathematical Physics
1 Annales de l’Institut Henri Poincaré. Nouvelle Série. Section A. Physique Théorique
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. 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