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Ratcliffe, John G.

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Author ID: ratcliffe.john-g Recent zbMATH articles by "Ratcliffe, John G."
Published as: Ratcliffe, J. G.; Ratcliffe, John; Ratcliffe, John G.
Documents Indexed: 54 Publications since 1979, including 4 Books

Publications by Year

Citations contained in zbMATH Open

43 Publications have been cited 639 times in 551 Documents Cited by Year
Foundations of hyperbolic manifolds. Zbl 0809.51001
Ratcliffe, John G.
215
1994
Foundations of hyperbolic manifolds. 2nd ed. Zbl 1106.51009
Ratcliffe, John G.
181
2006
On the second homotopy group. Zbl 0457.57002
Gutierrez, Mauricio A.; Ratcliffe, John G.
26
1981
The volume spectrum of hyperbolic 4-manifolds. Zbl 0963.57012
Ratcliffe, John G.; Tschantz, Steven T.
24
2000
The size of hyperbolic Coxeter simplex. Zbl 0953.20041
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
22
1999
Free and projective crossed modules. Zbl 0427.20044
Ratcliffe, John G.
17
1980
Crossed extensions. Zbl 0452.20054
Ratcliffe, John G.
15
1980
Commensurability classes of hyperbolic Coxeter groups. Zbl 1033.20037
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
12
2002
Volumes of integral congruence hyperbolic manifolds. Zbl 0873.11031
Ratcliffe, John G.; Tschantz, Steven T.
11
1997
Some examples of aspherical 4-manifolds that are homology 4-spheres. Zbl 1064.57023
Ratcliffe, John G.; Tschantz, Steven T.
10
2005
Euler characteristics of 3-manifold groups and discrete subgroups of SL(2, \({\mathbb{C}})\). Zbl 0627.57003
Ratcliffe, John G.
10
1987
Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel. Zbl 1260.57028
Everitt, Brent; Ratcliffe, John G.; Tschantz, Steven T.
7
2012
Gravitational instantons of constant curvature. Zbl 0939.53037
Ratcliffe, John G.; Tschantz, Steven T.
7
1998
Abelianization of space groups. Zbl 1370.20043
Ratcliffe, John G.; Tschantz, Steven T.
6
2009
Peaks in the Hartle-Hawking wavefunction from sums over topologies. Zbl 1045.83032
Anderson, M.; Carlip, S.; Ratcliffe, J. G.; Surya, S.; Tschantz, S. T.
6
2004
On the growth of the number of hyperbolic gravitational instantons with respect to volume. Zbl 0963.53045
Ratcliffe, John G.; Tschantz, Steven T.
6
2000
Fibered orbifolds and crystallographic groups. Zbl 1245.57026
Ratcliffe, John G.; Tschantz, Steven T.
5
2010
Chordal Coxeter groups. Zbl 1175.20031
Ratcliffe, John G.; Tschantz, Steven T.
5
2008
On the Davis hyperbolic 4-manifold. Zbl 0976.57019
Ratcliffe, John G.; Tschantz, Steven T.
5
2001
On the representation of integers by the Lorentzian quadratic form. Zbl 0883.11017
Ratcliffe, John G.; Tschantz, Steven T.
4
1997
Relative cohomology of groups. Zbl 0544.20047
Habegger, Nathan; Jones, Vaughan; Pino Ortiz, Oscar; Ratcliffe, John
4
1984
Foundations of hyperbolic manifolds. 3rd expanded edition. Zbl 1430.51002
Ratcliffe, John G.
3
2019
On volumes of hyperbolic Coxeter polytopes and quadratic forms. Zbl 1329.11027
Ratcliffe, John G.; Tschantz, Steven T.
3
2013
Matching theorems for systems of a finitely generated Coxeter group. Zbl 1134.20045
Mihalik, Michael L.; Ratcliffe, John G.; Tschantz, Steven T.
3
2007
Hyperbolic manifolds. Zbl 0986.57011
Ratcliffe, John G.
3
2002
A fibered knot in a homology 3-sphere whose group is nonclassical. Zbl 0532.57003
Ratcliffe, John G.
3
1983
On the isometry group of a compact flat orbifold. Zbl 1346.20068
Ratcliffe, John G.; Tschantz, Steven T.
2
2015
JSJ decompositions of Coxeter groups over FA subgroups. Zbl 1280.20041
Ratcliffe, John G.; Tschantz, Steven T.
2
2013
The smallest hyperbolic 6-manifolds. Zbl 1069.57005
Everitt, Brent; Ratcliffe, John; Tschantz, Steven
2
2005
Integral congruence two hyperbolic 5-manifolds. Zbl 1073.57011
Ratcliffe, John G.; Tschantz, Steven T.
2
2004
Spin and complex structures on flat gravitational instantons. Zbl 0939.83040
Ratcliffe, John G.; Tschantz, Steven T.
2
2000
On the torsion of the group \(O(n,1;\mathbb Z)\) of integral Lorentzian \((n+1)\times(n+1)\) matrices. Zbl 0926.11024
Ratcliffe, John G.; Tschantz, Steven T.
2
1999
The cohomology ring of a one-relator group. Zbl 0556.20037
Ratcliffe, John G.
2
1984
Finiteness conditions for groups. Zbl 0512.20032
Ratcliffe, John G.
2
1983
On the second transgression of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0427.20043
Ratcliffe, John G.
2
1979
Salem numbers and arithmetic hyperbolic groups. Zbl 07076392
Emery, Vincent; Ratcliffe, John G.; Tschantz, Steven T.
1
2019
A Bieberbach theorem for crystallographic group extensions. Zbl 1452.20050
Ratcliffe, John G.; Tschantz, Steven T.
1
2017
The Calabi construction for compact flat orbifolds. Zbl 1327.57026
Ratcliffe, John G.; Tschantz, Steven T.
1
2014
On the rank of a Coxeter group. Zbl 1214.20040
Mihalik, Michael L.; Ratcliffe, John G.
1
2009
Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure. Zbl 1085.57013
Ivanšić, Dubravko; Ratcliffe, John G.; Tschantz, Steven T.
1
2005
On the uniqueness of amalgamated product decompositions of a group. Zbl 0743.20023
Ratcliffe, John G.
1
1990
Finite 2-complexes with infinitely-generated groups of self-homotopy- equivalences. Zbl 0522.57002
Brunner, A. M.; Ratcliffe, J. G.
1
1982
On the ends of higher dimensional knot groups. Zbl 0453.57012
Ratcliffe, John G.
1
1981
Foundations of hyperbolic manifolds. 3rd expanded edition. Zbl 1430.51002
Ratcliffe, John G.
3
2019
Salem numbers and arithmetic hyperbolic groups. Zbl 07076392
Emery, Vincent; Ratcliffe, John G.; Tschantz, Steven T.
1
2019
A Bieberbach theorem for crystallographic group extensions. Zbl 1452.20050
Ratcliffe, John G.; Tschantz, Steven T.
1
2017
On the isometry group of a compact flat orbifold. Zbl 1346.20068
Ratcliffe, John G.; Tschantz, Steven T.
2
2015
The Calabi construction for compact flat orbifolds. Zbl 1327.57026
Ratcliffe, John G.; Tschantz, Steven T.
1
2014
On volumes of hyperbolic Coxeter polytopes and quadratic forms. Zbl 1329.11027
Ratcliffe, John G.; Tschantz, Steven T.
3
2013
JSJ decompositions of Coxeter groups over FA subgroups. Zbl 1280.20041
Ratcliffe, John G.; Tschantz, Steven T.
2
2013
Right-angled Coxeter polytopes, hyperbolic six-manifolds, and a problem of Siegel. Zbl 1260.57028
Everitt, Brent; Ratcliffe, John G.; Tschantz, Steven T.
7
2012
Fibered orbifolds and crystallographic groups. Zbl 1245.57026
Ratcliffe, John G.; Tschantz, Steven T.
5
2010
Abelianization of space groups. Zbl 1370.20043
Ratcliffe, John G.; Tschantz, Steven T.
6
2009
On the rank of a Coxeter group. Zbl 1214.20040
Mihalik, Michael L.; Ratcliffe, John G.
1
2009
Chordal Coxeter groups. Zbl 1175.20031
Ratcliffe, John G.; Tschantz, Steven T.
5
2008
Matching theorems for systems of a finitely generated Coxeter group. Zbl 1134.20045
Mihalik, Michael L.; Ratcliffe, John G.; Tschantz, Steven T.
3
2007
Foundations of hyperbolic manifolds. 2nd ed. Zbl 1106.51009
Ratcliffe, John G.
181
2006
Some examples of aspherical 4-manifolds that are homology 4-spheres. Zbl 1064.57023
Ratcliffe, John G.; Tschantz, Steven T.
10
2005
The smallest hyperbolic 6-manifolds. Zbl 1069.57005
Everitt, Brent; Ratcliffe, John; Tschantz, Steven
2
2005
Complements of tori and Klein bottles in the 4-sphere that have hyperbolic structure. Zbl 1085.57013
Ivanšić, Dubravko; Ratcliffe, John G.; Tschantz, Steven T.
1
2005
Peaks in the Hartle-Hawking wavefunction from sums over topologies. Zbl 1045.83032
Anderson, M.; Carlip, S.; Ratcliffe, J. G.; Surya, S.; Tschantz, S. T.
6
2004
Integral congruence two hyperbolic 5-manifolds. Zbl 1073.57011
Ratcliffe, John G.; Tschantz, Steven T.
2
2004
Commensurability classes of hyperbolic Coxeter groups. Zbl 1033.20037
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
12
2002
Hyperbolic manifolds. Zbl 0986.57011
Ratcliffe, John G.
3
2002
On the Davis hyperbolic 4-manifold. Zbl 0976.57019
Ratcliffe, John G.; Tschantz, Steven T.
5
2001
The volume spectrum of hyperbolic 4-manifolds. Zbl 0963.57012
Ratcliffe, John G.; Tschantz, Steven T.
24
2000
On the growth of the number of hyperbolic gravitational instantons with respect to volume. Zbl 0963.53045
Ratcliffe, John G.; Tschantz, Steven T.
6
2000
Spin and complex structures on flat gravitational instantons. Zbl 0939.83040
Ratcliffe, John G.; Tschantz, Steven T.
2
2000
The size of hyperbolic Coxeter simplex. Zbl 0953.20041
Johnson, N. W.; Kellerhals, R.; Ratcliffe, J. G.; Tschantz, S. T.
22
1999
On the torsion of the group \(O(n,1;\mathbb Z)\) of integral Lorentzian \((n+1)\times(n+1)\) matrices. Zbl 0926.11024
Ratcliffe, John G.; Tschantz, Steven T.
2
1999
Gravitational instantons of constant curvature. Zbl 0939.53037
Ratcliffe, John G.; Tschantz, Steven T.
7
1998
Volumes of integral congruence hyperbolic manifolds. Zbl 0873.11031
Ratcliffe, John G.; Tschantz, Steven T.
11
1997
On the representation of integers by the Lorentzian quadratic form. Zbl 0883.11017
Ratcliffe, John G.; Tschantz, Steven T.
4
1997
Foundations of hyperbolic manifolds. Zbl 0809.51001
Ratcliffe, John G.
215
1994
On the uniqueness of amalgamated product decompositions of a group. Zbl 0743.20023
Ratcliffe, John G.
1
1990
Euler characteristics of 3-manifold groups and discrete subgroups of SL(2, \({\mathbb{C}})\). Zbl 0627.57003
Ratcliffe, John G.
10
1987
Relative cohomology of groups. Zbl 0544.20047
Habegger, Nathan; Jones, Vaughan; Pino Ortiz, Oscar; Ratcliffe, John
4
1984
The cohomology ring of a one-relator group. Zbl 0556.20037
Ratcliffe, John G.
2
1984
A fibered knot in a homology 3-sphere whose group is nonclassical. Zbl 0532.57003
Ratcliffe, John G.
3
1983
Finiteness conditions for groups. Zbl 0512.20032
Ratcliffe, John G.
2
1983
Finite 2-complexes with infinitely-generated groups of self-homotopy- equivalences. Zbl 0522.57002
Brunner, A. M.; Ratcliffe, J. G.
1
1982
On the second homotopy group. Zbl 0457.57002
Gutierrez, Mauricio A.; Ratcliffe, John G.
26
1981
On the ends of higher dimensional knot groups. Zbl 0453.57012
Ratcliffe, John G.
1
1981
Free and projective crossed modules. Zbl 0427.20044
Ratcliffe, John G.
17
1980
Crossed extensions. Zbl 0452.20054
Ratcliffe, John G.
15
1980
On the second transgression of the Lyndon-Hochschild-Serre spectral sequence. Zbl 0427.20043
Ratcliffe, John G.
2
1979
all top 5

Cited by 705 Authors

21 Ratcliffe, John G.
18 Tschantz, Steven Thomas
9 Kellerhals, Ruth
7 Beardon, Alan Frank
7 Kolpakov, Alexander A.
7 Mikhaĭlov, Roman Valer’evich
6 Deblois, Jason
6 El Naschie, Mohamed Saladin
6 Le Gia, Quoc Thong
5 Ellis, Graham J.
5 Everitt, Brent
5 McReynolds, David Ben
5 Reid, Alan W.
5 Slavich, Leone
5 Sloan, Ian Hugh
5 Tillmann, Stephan
4 Belolipetsky, Mikhail V.
4 Felikson, Anna Aleksandrovna
4 Fillastre, François
4 Frigerio, Roberto
4 Gilbert, Nick D.
4 Ivanov, Sergei Vladimirovich
4 Jacquemet, Matthieu
4 Short, Ian
4 Szirmai, Jenó
4 Tumarkin, Pavel
3 Barbot, Thierry
3 Bau, Sheng
3 Cano Cordero, Angel
3 Conduché, Daniel
3 Foote, Robert L.
3 Foreman, Brendan J.
3 Fried, David
3 Gongopadhyay, Krishnendu
3 Gündoğan, Halit
3 Gutierrez, Mauricio A.
3 Heydarpour, Majid
3 Hillman, Jonathan Arthur
3 Howie, James
3 Huebschmann, Johannes
3 Ivanšić, Dubravko
3 Izumiya, Shyuichi
3 Jespers, Eric
3 Karlıga, Baki
3 Kiefer, Ann
3 Kim, YoungJu
3 Leininger, Christopher J.
3 Long, Darren D.
3 Marshall, Timothy H.
3 Martin, Gaven J.
3 Mednykh, Aleksandr Dmitrievich
3 Pagliantini, Cristina
3 Pellicer, Daniel
3 Porti, Joan
3 Szczepański, Andrzej
3 Vesnin, Andrei Yu.
3 Yaskin, Vladyslav
2 Agol, Ian
2 Antonakoudis, Stergios M.
2 Babaarslan, Murat
2 Ballas, Samuel A.
2 Bertrand, Jérôme
2 Bogley, William A.
2 Charette, Virginie
2 Charitos, Charalampos
2 Chelnokov, Grigory R.
2 Choi, Suhyoung
2 del Río, Angel
2 Dicks, Warren
2 Drumm, Todd A.
2 Falk, Kurt
2 Fominykh, Evgeny Anatol’evich
2 Friedl, Stefan
2 Gallego, Eduardo
2 Gehring, Frederick William
2 Gilman, Jane P.
2 Goldman, William M.
2 Guglielmetti, Rafael
2 Hesse, Kerstin
2 Hohlweg, Christophe
2 Jaerisch, Johannes
2 Johnson, Norman Woodason
2 Karmakar, Debabrata
2 Kozma, Robert Thijs
2 Kulikova, O. V.
2 Lackenby, Marc
2 Lafont, Jean-François
2 Lagarias, Jeffrey C.
2 Lauret, Emilio A.
2 Lei, Yiming
2 Löh, Clara
2 Luo, Feng
2 Maclachlan, Colin
2 Martelli, Bruno
2 Marzougui, Habib
2 McMullen, Curtis Tracy
2 Mihalik, Michael L.
2 Montero, Antonio
2 Mühlherr, Bernhard Matthias
2 Mushtaq, Qaiser
...and 605 more Authors
all top 5

Cited in 165 Serials

38 Geometriae Dedicata
31 Topology and its Applications
23 Algebraic & Geometric Topology
22 Proceedings of the American Mathematical Society
21 Journal of Pure and Applied Algebra
16 Transactions of the American Mathematical Society
14 Geometry & Topology
11 Journal of Algebra
10 Inventiones Mathematicae
9 Communications in Algebra
9 Advances in Mathematics
9 Mathematische Zeitschrift
8 Computational Methods and Function Theory
7 Journal of Geometry and Physics
7 Conformal Geometry and Dynamics
6 Communications in Mathematical Physics
6 Israel Journal of Mathematics
6 Journal of Mathematical Analysis and Applications
6 Rocky Mountain Journal of Mathematics
6 Chaos, Solitons and Fractals
6 Annales de l’Institut Fourier
5 Bulletin of the Australian Mathematical Society
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Mathematics of Computation
5 Duke Mathematical Journal
5 Glasgow Mathematical Journal
5 Journal of Functional Analysis
5 The Journal of Geometric Analysis
5 Geometric and Functional Analysis. GAFA
5 Advances in Applied Clifford Algebras
5 Journal of High Energy Physics
4 European Journal of Combinatorics
4 Ergodic Theory and Dynamical Systems
4 Discrete & Computational Geometry
4 International Journal of Algebra and Computation
4 Linear Algebra and its Applications
4 Calculus of Variations and Partial Differential Equations
4 Living Reviews in Relativity
4 Advances in Geometry
3 Archiv der Mathematik
3 Journal of Geometry
3 Journal of Number Theory
3 Mathematische Annalen
3 Monatshefte für Mathematik
3 Osaka Journal of Mathematics
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 Results in Mathematics
3 Bulletin of the American Mathematical Society. New Series
3 Journal of Knot Theory and its Ramifications
3 LMS Journal of Computation and Mathematics
3 International Journal of Geometric Methods in Modern Physics
3 Proceedings of the Steklov Institute of Mathematics
2 Discrete Applied Mathematics
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Ukrainian Mathematical Journal
2 Beiträge zur Algebra und Geometrie
2 Acta Mathematica
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin de la Société Mathématique de France
2 Journal of Combinatorial Theory. Series A
2 Journal of Computational and Applied Mathematics
2 Journal of the Korean Mathematical Society
2 Journal of the London Mathematical Society. Second Series
2 Proceedings of the London Mathematical Society. Third Series
2 Probability Theory and Related Fields
2 Journal of the American Mathematical Society
2 Forum Mathematicum
2 International Journal of Mathematics
2 Differential Geometry and its Applications
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Expositiones Mathematicae
2 International Journal of Modern Physics D
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Electronic Research Announcements of the American Mathematical Society
2 Discrete and Continuous Dynamical Systems
2 Transformation Groups
2 The Ramanujan Journal
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Honam Mathematical Journal
2 Mathematical Physics, Analysis and Geometry
2 Annals of Mathematics. Second Series
2 Acta Mathematica Sinica. English Series
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Journal of Topology and Analysis
1 Archive for History of Exact Sciences
1 Discrete Mathematics
1 General Relativity and Gravitation
1 International Journal of Theoretical Physics
1 Journal of Statistical Physics
1 Letters in Mathematical Physics
1 Nuclear Physics. B
1 Physics Letters. A
1 Russian Mathematical Surveys
1 Reviews in Mathematical Physics
1 Mathematics Magazine
1 Algebra and Logic
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Canadian Journal of Mathematics
...and 65 more Serials
all top 5

Cited in 48 Fields

188 Manifolds and cell complexes (57-XX)
177 Group theory and generalizations (20-XX)
106 Differential geometry (53-XX)
96 Geometry (51-XX)
76 Functions of a complex variable (30-XX)
64 Convex and discrete geometry (52-XX)
48 Topological groups, Lie groups (22-XX)
46 Number theory (11-XX)
41 Dynamical systems and ergodic theory (37-XX)
33 Algebraic topology (55-XX)
30 Global analysis, analysis on manifolds (58-XX)
24 Combinatorics (05-XX)
22 Several complex variables and analytic spaces (32-XX)
21 Partial differential equations (35-XX)
20 Quantum theory (81-XX)
18 Relativity and gravitational theory (83-XX)
16 Category theory; homological algebra (18-XX)
15 Functional analysis (46-XX)
13 General topology (54-XX)
12 Nonassociative rings and algebras (17-XX)
11 Linear and multilinear algebra; matrix theory (15-XX)
10 Numerical analysis (65-XX)
8 Algebraic geometry (14-XX)
8 Associative rings and algebras (16-XX)
8 Operator theory (47-XX)
6 \(K\)-theory (19-XX)
6 Approximations and expansions (41-XX)
6 Calculus of variations and optimal control; optimization (49-XX)
6 Probability theory and stochastic processes (60-XX)
5 Computer science (68-XX)
4 Measure and integration (28-XX)
4 Sequences, series, summability (40-XX)
4 Statistics (62-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Real functions (26-XX)
2 History and biography (01-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Mechanics of particles and systems (70-XX)
2 Astronomy and astrophysics (85-XX)
2 Geophysics (86-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year