# zbMATH — the first resource for mathematics

## Galloway, Gregory J.

Compute Distance To:
 Author ID: galloway.gregory-j Published as: Galloway, G.; Galloway, G. J.; Galloway, Gregory J.
 Documents Indexed: 94 Publications since 1979
all top 5

#### Co-Authors

 32 single-authored 10 Chruściel, Piotr Tadeusz 7 Woolgar, Eric 6 Andersson, Lars Åke 6 Cai, Mingliang 6 Ling, Eric 4 Howard, Ralph E. 3 Cederbaum, Carla 3 Ehrlich, Paul Ewing 3 Frankel, Theodore 3 Pollack, Daniel 2 Beem, John K. 2 Markvorsen, Steen 2 Schleich, Kristin 2 Solis, Didier A. 2 Surya, Sumati 2 Vega, Carlos A. 2 Witt, Donald M. 1 Ashtekar, Abhay 1 Baker, Kenneth L. 1 Barrow, John D. 1 Browdy, Steven F. 1 Dahl, Mattias 1 Delay, Erwann 1 Eichmair, Michael 1 Eschenburg, Jost-Hinrich 1 Fewster, Christopher John 1 Fu, Joseph Howland Guthrie 1 Graf, Melanie 1 Horta, Arnaldo 1 Jang, Hyunchul 1 Khuri, Marcus A. 1 Klainerman, Sergiu 1 Liu, Zhongdong 1 Mendes, Abraão 1 Miao, Pengzi 1 Nguyen, Luc 1 Ó Murchadha, Niall 1 Paetz, Tim-Torben 1 Rodriguez, Lucio Ladislao 1 Sbierski, Jan J. 1 Schoen, Richard Melvin 1 Senovilla, José M. M. 1 Tipler, Frank J. 1 Vega, Carlos J.
all top 5

#### Serials

 17 Classical and Quantum Gravity 11 Communications in Mathematical Physics 8 Annales Henri Poincaré 5 Communications in Analysis and Geometry 4 General Relativity and Gravitation 4 Journal of Differential Geometry 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Physics 3 Journal of Geometry and Physics 3 Mathematische Zeitschrift 3 Advances in Theoretical and Mathematical Physics 2 Archiv der Mathematik 2 Transactions of the American Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Monthly Notices of the Royal Astronomical Society 1 Physics Letters. B 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Journal of Physics A: Mathematical and General 1 Bulletin of the American Mathematical Society. New Series 1 The Asian Journal of Mathematics 1 Journal of High Energy Physics 1 Journal of Hyperbolic Differential Equations
all top 5

#### Fields

 74 Differential geometry (53-XX) 69 Relativity and gravitational theory (83-XX) 7 Quantum theory (81-XX) 6 Manifolds and cell complexes (57-XX) 3 General topology (54-XX) 2 Partial differential equations (35-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX)

#### Citations contained in zbMATH Open

83 Publications have been cited 762 times in 456 Documents Cited by Year
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
2006
The AdS/CFT correspondence and topological censorship. Zbl 0977.81130
Galloway, G. J.; Schleich, K.; Witt, D. M.; Woolgar, E.
2001
Mathematical general relativity: a sampler. Zbl 1205.83002
Chruściel, Piotr T.; Galloway, Gregory J.; Pollack, Daniel
2010
Rigidity and positivity of mass for asymptotically hyperbolic manifolds. Zbl 1134.81037
Andersson, Lars; Cai, Mingliang; Galloway, Gregory J.
2008
Maximum principles for null hypersurfaces and null splitting theorems. Zbl 0965.53048
Galloway, Gregory J.
2000
Regularity of horizons and the area theorem. Zbl 0977.83047
Chruściel, P. T.; Delay, E.; Galloway, G. J.; Howard, R.
2001
Boundaries of zero scalar curvature in the AdS/CFT correspondence. Zbl 0978.53084
Cai, Mingliang; Galloway, Gregory J.
1999
Rigidity of marginally trapped surfaces and the topology of black holes. Zbl 1147.83005
Galloway, Gregory J.
2008
dS/CFT and spacetime topology. Zbl 1033.53060
2002
Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature. Zbl 0994.53028
Cai, Mingliang; Galloway, Gregory J.
2000
Lines in space-times. Zbl 0756.53028
Eschenburg, Jost-Hinrich; Galloway, G. J.
1992
Horizons non-differentiable on a dense set. Zbl 0924.53062
Chruściel, Piotr T.; Galloway, Gregory J.
1998
Splitting theorems for spatially closed space-times. Zbl 0575.53040
Galloway, Gregory J.
1984
Closed timelike geodesics. Zbl 0547.53033
Galloway, Gregory J.
1984
A generalization of Myers theorem and an application to relativistic cosmology. Zbl 0444.53036
Galloway, Gregory J.
1979
The closed-universe recollapse conjecture. Zbl 0603.53047
Barrow, John D.; Galloway, Gregory J.; Tipler, Frank J.
1986
Compact Lorentzian manifolds without closed nonspacelike geodesics. Zbl 0601.53053
Galloway, Gregory J.
1986
Topological censorship for Kaluza-Klein space-times. Zbl 1207.83052
Chruściel, Piotr T.; Galloway, Gregory J.; Solis, Didier
2009
Some uniqueness results for dynamical horizons. Zbl 1100.83016
Ashtekar, Abhay; Galloway, Gregory J.
2005
On the geometry and mass of static, asymptotically AdS spacetimes, and the uniqueness of the AdS soliton. Zbl 1149.83309
Galloway, G. J.; Surya, S.; Woolgar, E.
2003
The cosmological time function. Zbl 0911.53039
Andersson, Lars; Galloway, Gregory J.; Howard, Ralph
1998
On the topology of the domain of outer communication. Zbl 0835.53094
Galloway, Gregory J.
1995
On the topology and area of higher-dimensional black holes. Zbl 1001.83034
Cai, Mingliang; Galloway, Gregory J.
2001
Regularity of Lorentzian Busemann functions. Zbl 0858.53052
Galloway, Gregory J.; Horta, Arnaldo
1996
Curvature, causality and completeness in space-times with causally complete spacelike slices. Zbl 0612.53039
Galloway, Gregory J.
1986
Compactness criteria for Riemannian manifolds. Zbl 0484.53032
Galloway, Gregory J.
1982
On the topology of black holes. Zbl 0776.53047
Galloway, Gregory J.
1993
The Lorentzian splitting theorem without the completeness assumption. Zbl 0667.53048
Galloway, Gregory J.
1989
Cosmological singularities in Bakry-Émery spacetimes. Zbl 1362.83018
Galloway, Gregory J.; Woolgar, Eric
2014
Some remarks on the $$C^0$$-(in)extendibility of spacetimes. Zbl 1377.83060
Galloway, Gregory J.; Ling, Eric
2017
Cosmological spacetimes with $$\Lambda>0$$. Zbl 1081.83023
Galloway, Gregory J.
2004
On fine differentiability properties of horizons and applications to Riemannian geometry. Zbl 1023.53054
Chruściel, Piotr T.; Fu, Joseph H. G.; Galloway, Gregory J.; Howard, Ralph
2002
Some results on Cauchy surface criteria in Lorentzian geometry. Zbl 0611.53054
Galloway, Gregory J.
1985
Singularity theorems based on trapped submanifolds of arbitrary co-dimension. Zbl 1195.83065
Galloway, Gregory J.; Senovilla, José M. M.
2010
Timelike completeness as an obstruction to $$C^{0}$$-extensions. Zbl 1396.53095
Galloway, Gregory J.; Ling, Eric; Sbierski, Jan
2018
Topological censorship from the initial data point of view. Zbl 1279.83027
Eichmair, Michael; Galloway, Gregory J.; Pollack, Daniel
2013
Some rigidity results for spatially closed spacetimes. Zbl 0901.53047
Galloway, Gregory J.
1997
A ‘finite infinity’ version of topological censorship. Zbl 0853.53069
Galloway, Gregory J.
1996
Variational and rigidity properties of static potentials. Zbl 1380.53082
Galloway, Gregory J.; Miao, Pengzi
2017
Constraints on the topology of higher-dimensional black holes. Zbl 1309.83003
Galloway, Gregory J.
2012
Singularity theorems from weakened energy conditions. Zbl 1222.83130
Fewster, Christopher J.; Galloway, Gregory J.
2011
A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry. Zbl 0935.35020
Andersson, Lars; Galloway, Gregory J.; Howard, Ralph
1998
Some results on the occurrence of compact minimal submanifolds. Zbl 0474.53054
Galloway, Gregory J.
1981
Achronal limits, Lorentzian spheres, and splitting. Zbl 1303.83035
Galloway, Gregory J.; Vega, Carlos
2014
Stability and rigidity of extremal surfaces in Riemannian geometry and general relativity. Zbl 1258.53076
Galloway, Gregory J.
2011
Timelike lines. Zbl 0698.53039
Ehrlich, Paul E.; Galloway, Gregory J.
1990
A generalization of the Cheeger-Gromoll splitting theorem. Zbl 0614.53032
Galloway, Gregory J.
1986
Decomposition theorems for Lorentzian manifolds with nonpositive curvature. Zbl 0585.53054
Beem, John K.; Ehrlich, Paul E.; Markvorsen, Steen; Galloway, Gregory J.
1985
Energy density and spatial curvature in general relativity. Zbl 0483.76135
Frankel, Theodore; Galloway, Gregory J.
1981
Topology and singularities in cosmological spacetimes obeying the null energy condition. Zbl 1450.83004
Galloway, Gregory J.; Ling, Eric
2018
Uniqueness of photon spheres via positive mass rigidity. Zbl 1381.53131
Cederbaum, Carla; Galloway, Gregory J.
2017
Hausdorff closed limits and rigidity in Lorentzian geometry. Zbl 1377.83005
Galloway, Gregory J.; Vega, Carlos
2017
Null geometry and the Einstein equations. Zbl 1118.83004
Galloway, Gregory J.
2004
Some connections between global hyperbolicity and geodesic completeness. Zbl 0677.53071
Galloway, Gregory J.
1989
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds. Zbl 1393.83002
Chruściel, Piotr T.; Galloway, Gregory J.; Nguyen, Luc; Paetz, Tim-Torben
2018
Rigidity of marginally outer trapped $$2$$-spheres. Zbl 1383.53052
Galloway, Gregory J.; Mendes, Abraão
2018
Uniqueness of photon spheres in electro-vacuum spacetimes. Zbl 1336.83024
Cederbaum, Carla; Galloway, Gregory J.
2016
Non-existence of black holes in certain $$\Lambda< 0$$ spacetimes. Zbl 1071.83540
Galloway, G. J.; Surya, S.; Woolgar, E.
2003
Intersections of minimal submanifolds. Zbl 0724.53037
Galloway, Gregory J.; Rodríguez, Lucio
1991
Minimal surfaces, spatial topology and singularities in space-time. Zbl 0524.53041
Galloway, Gregory J.
1983
Causality violation in spatially closed space-times. Zbl 0512.53062
Galloway, Gregory J.
1983
Existence of CMC Cauchy surfaces from a spacetime curvature condition. Zbl 1404.83005
Galloway, Gregory J.; Ling, Eric
2018
Rigidity of outermost MOTS: the initial data version. Zbl 1392.83005
Galloway, Gregory J.
2018
Uniqueness of static black holes without analyticity. Zbl 1195.83054
Chruściel, Piotr T.; Galloway, Gregory J.
2010
Some remarks on the size of bodies and black holes. Zbl 1140.83373
Galloway, Gregory J.; Murchadha, Niall Ó
2008
Uniqueness of de Sitter space. Zbl 1117.83018
Galloway, Gregory J.; Solis, Didier A.
2007
A poor man’s positive energy theorem. Zbl 1049.83007
Chruściel, Piotr T.; Galloway, Gregory J.
2004
Some global results for asymptotically simple space-times. Zbl 1046.83007
Galloway, Gregory J.
2002
The cosmic censor forbids naked topology. Zbl 0868.53068
Galloway, G. J.; Woolgar, E.
1997
Topological censorship and the topology of black holes. Zbl 0880.57012
Browdy, Steven F.; Galloway, Gregory J.
1995
The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity. Zbl 0792.53060
Galloway, Gregory J.
1993
A Toponogov splitting theorem for Lorentzian manifolds. Zbl 0567.53046
Beem, John K.; Ehrlich, Paul E.; Markvorsen, Steen; Galloway, Gregory J.
1985
Rigidity in vacuum under conformal symmetry. Zbl 1400.53060
Galloway, Gregory J.; Vega, Carlos
2018
On static Poincaré-Einstein metrics. Zbl 1388.83041
Galloway, Gregory J.; Woolgar, Eric
2015
On the topology of initial data sets with higher genus ends. Zbl 1314.83009
Baker, Kenneth L.; Galloway, Gregory J.
2015
Outer trapped surfaces are dense near MOTSs. Zbl 1286.83054
Chruściel, Piotr T.; Galloway, Gregory J.
2014
Nonexistence of marginally trapped surfaces and geons in $$2 + 1$$ gravity. Zbl 1252.83011
Galloway, Gregory J.; Schleich, Kristin; Witt, Donald M.
2012
Least area tori, black holes and topological censorship. Zbl 0870.53047
Galloway, Gregory J.
1994
Local splitting theorems for Riemannian manifolds. Zbl 0794.53027
Cai, M.; Galloway, G. J.; Liu, Zhong-dong
1994
Space-time splitting theorems. Zbl 0687.53056
Galloway, Gregory J.
1989
A note on the fundamental group of a compact minimal hypersurface. Zbl 0641.53056
Galloway, Gregory J.
1987
Some global aspects of compact space-times. Zbl 0543.53047
Galloway, Gregory J.
1984
Stable minimal surfaces and spatial topology in general relativity. Zbl 0482.53006
Frankel, Theodore; Galloway, Gregory J.
1982
Timelike completeness as an obstruction to $$C^{0}$$-extensions. Zbl 1396.53095
Galloway, Gregory J.; Ling, Eric; Sbierski, Jan
2018
Topology and singularities in cosmological spacetimes obeying the null energy condition. Zbl 1450.83004
Galloway, Gregory J.; Ling, Eric
2018
On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds. Zbl 1393.83002
Chruściel, Piotr T.; Galloway, Gregory J.; Nguyen, Luc; Paetz, Tim-Torben
2018
Rigidity of marginally outer trapped $$2$$-spheres. Zbl 1383.53052
Galloway, Gregory J.; Mendes, Abraão
2018
Existence of CMC Cauchy surfaces from a spacetime curvature condition. Zbl 1404.83005
Galloway, Gregory J.; Ling, Eric
2018
Rigidity of outermost MOTS: the initial data version. Zbl 1392.83005
Galloway, Gregory J.
2018
Rigidity in vacuum under conformal symmetry. Zbl 1400.53060
Galloway, Gregory J.; Vega, Carlos
2018
Some remarks on the $$C^0$$-(in)extendibility of spacetimes. Zbl 1377.83060
Galloway, Gregory J.; Ling, Eric
2017
Variational and rigidity properties of static potentials. Zbl 1380.53082
Galloway, Gregory J.; Miao, Pengzi
2017
Uniqueness of photon spheres via positive mass rigidity. Zbl 1381.53131
Cederbaum, Carla; Galloway, Gregory J.
2017
Hausdorff closed limits and rigidity in Lorentzian geometry. Zbl 1377.83005
Galloway, Gregory J.; Vega, Carlos
2017
Uniqueness of photon spheres in electro-vacuum spacetimes. Zbl 1336.83024
Cederbaum, Carla; Galloway, Gregory J.
2016
On static Poincaré-Einstein metrics. Zbl 1388.83041
Galloway, Gregory J.; Woolgar, Eric
2015
On the topology of initial data sets with higher genus ends. Zbl 1314.83009
Baker, Kenneth L.; Galloway, Gregory J.
2015
Cosmological singularities in Bakry-Émery spacetimes. Zbl 1362.83018
Galloway, Gregory J.; Woolgar, Eric
2014
Achronal limits, Lorentzian spheres, and splitting. Zbl 1303.83035
Galloway, Gregory J.; Vega, Carlos
2014
Outer trapped surfaces are dense near MOTSs. Zbl 1286.83054
Chruściel, Piotr T.; Galloway, Gregory J.
2014
Topological censorship from the initial data point of view. Zbl 1279.83027
Eichmair, Michael; Galloway, Gregory J.; Pollack, Daniel
2013
Constraints on the topology of higher-dimensional black holes. Zbl 1309.83003
Galloway, Gregory J.
2012
Nonexistence of marginally trapped surfaces and geons in $$2 + 1$$ gravity. Zbl 1252.83011
Galloway, Gregory J.; Schleich, Kristin; Witt, Donald M.
2012
Singularity theorems from weakened energy conditions. Zbl 1222.83130
Fewster, Christopher J.; Galloway, Gregory J.
2011
Stability and rigidity of extremal surfaces in Riemannian geometry and general relativity. Zbl 1258.53076
Galloway, Gregory J.
2011
Mathematical general relativity: a sampler. Zbl 1205.83002
Chruściel, Piotr T.; Galloway, Gregory J.; Pollack, Daniel
2010
Singularity theorems based on trapped submanifolds of arbitrary co-dimension. Zbl 1195.83065
Galloway, Gregory J.; Senovilla, José M. M.
2010
Uniqueness of static black holes without analyticity. Zbl 1195.83054
Chruściel, Piotr T.; Galloway, Gregory J.
2010
Topological censorship for Kaluza-Klein space-times. Zbl 1207.83052
Chruściel, Piotr T.; Galloway, Gregory J.; Solis, Didier
2009
Rigidity and positivity of mass for asymptotically hyperbolic manifolds. Zbl 1134.81037
Andersson, Lars; Cai, Mingliang; Galloway, Gregory J.
2008
Rigidity of marginally trapped surfaces and the topology of black holes. Zbl 1147.83005
Galloway, Gregory J.
2008
Some remarks on the size of bodies and black holes. Zbl 1140.83373
Galloway, Gregory J.; Murchadha, Niall Ó
2008
Uniqueness of de Sitter space. Zbl 1117.83018
Galloway, Gregory J.; Solis, Didier A.
2007
A generalization of Hawking’s black hole topology theorem to higher dimensions. Zbl 1190.53070
Galloway, Gregory J.; Schoen, Richard
2006
Some uniqueness results for dynamical horizons. Zbl 1100.83016
Ashtekar, Abhay; Galloway, Gregory J.
2005
Cosmological spacetimes with $$\Lambda>0$$. Zbl 1081.83023
Galloway, Gregory J.
2004
Null geometry and the Einstein equations. Zbl 1118.83004
Galloway, Gregory J.
2004
A poor man’s positive energy theorem. Zbl 1049.83007
Chruściel, Piotr T.; Galloway, Gregory J.
2004
On the geometry and mass of static, asymptotically AdS spacetimes, and the uniqueness of the AdS soliton. Zbl 1149.83309
Galloway, G. J.; Surya, S.; Woolgar, E.
2003
Non-existence of black holes in certain $$\Lambda< 0$$ spacetimes. Zbl 1071.83540
Galloway, G. J.; Surya, S.; Woolgar, E.
2003
dS/CFT and spacetime topology. Zbl 1033.53060
2002
On fine differentiability properties of horizons and applications to Riemannian geometry. Zbl 1023.53054
Chruściel, Piotr T.; Fu, Joseph H. G.; Galloway, Gregory J.; Howard, Ralph
2002
Some global results for asymptotically simple space-times. Zbl 1046.83007
Galloway, Gregory J.
2002
The AdS/CFT correspondence and topological censorship. Zbl 0977.81130
Galloway, G. J.; Schleich, K.; Witt, D. M.; Woolgar, E.
2001
Regularity of horizons and the area theorem. Zbl 0977.83047
Chruściel, P. T.; Delay, E.; Galloway, G. J.; Howard, R.
2001
On the topology and area of higher-dimensional black holes. Zbl 1001.83034
Cai, Mingliang; Galloway, Gregory J.
2001
Maximum principles for null hypersurfaces and null splitting theorems. Zbl 0965.53048
Galloway, Gregory J.
2000
Rigidity of area minimizing tori in 3-manifolds of nonnegative scalar curvature. Zbl 0994.53028
Cai, Mingliang; Galloway, Gregory J.
2000
Boundaries of zero scalar curvature in the AdS/CFT correspondence. Zbl 0978.53084
Cai, Mingliang; Galloway, Gregory J.
1999
Horizons non-differentiable on a dense set. Zbl 0924.53062
Chruściel, Piotr T.; Galloway, Gregory J.
1998
The cosmological time function. Zbl 0911.53039
Andersson, Lars; Galloway, Gregory J.; Howard, Ralph
1998
A strong maximum principle for weak solutions of quasi-linear elliptic equations with applications to Lorentzian and Riemannian geometry. Zbl 0935.35020
Andersson, Lars; Galloway, Gregory J.; Howard, Ralph
1998
Some rigidity results for spatially closed spacetimes. Zbl 0901.53047
Galloway, Gregory J.
1997
The cosmic censor forbids naked topology. Zbl 0868.53068
Galloway, G. J.; Woolgar, E.
1997
Regularity of Lorentzian Busemann functions. Zbl 0858.53052
Galloway, Gregory J.; Horta, Arnaldo
1996
A ‘finite infinity’ version of topological censorship. Zbl 0853.53069
Galloway, Gregory J.
1996
On the topology of the domain of outer communication. Zbl 0835.53094
Galloway, Gregory J.
1995
Topological censorship and the topology of black holes. Zbl 0880.57012
Browdy, Steven F.; Galloway, Gregory J.
1995
Least area tori, black holes and topological censorship. Zbl 0870.53047
Galloway, Gregory J.
1994
Local splitting theorems for Riemannian manifolds. Zbl 0794.53027
Cai, M.; Galloway, G. J.; Liu, Zhong-dong
1994
On the topology of black holes. Zbl 0776.53047
Galloway, Gregory J.
1993
The Lorentzian version of the Cheeger-Gromoll splitting theorem and its application to general relativity. Zbl 0792.53060
Galloway, Gregory J.
1993
Lines in space-times. Zbl 0756.53028
Eschenburg, Jost-Hinrich; Galloway, G. J.
1992
Intersections of minimal submanifolds. Zbl 0724.53037
Galloway, Gregory J.; Rodríguez, Lucio
1991
Timelike lines. Zbl 0698.53039
Ehrlich, Paul E.; Galloway, Gregory J.
1990
The Lorentzian splitting theorem without the completeness assumption. Zbl 0667.53048
Galloway, Gregory J.
1989
Some connections between global hyperbolicity and geodesic completeness. Zbl 0677.53071
Galloway, Gregory J.
1989
Space-time splitting theorems. Zbl 0687.53056
Galloway, Gregory J.
1989
A note on the fundamental group of a compact minimal hypersurface. Zbl 0641.53056
Galloway, Gregory J.
1987
The closed-universe recollapse conjecture. Zbl 0603.53047
Barrow, John D.; Galloway, Gregory J.; Tipler, Frank J.
1986
Compact Lorentzian manifolds without closed nonspacelike geodesics. Zbl 0601.53053
Galloway, Gregory J.
1986
Curvature, causality and completeness in space-times with causally complete spacelike slices. Zbl 0612.53039
Galloway, Gregory J.
1986
A generalization of the Cheeger-Gromoll splitting theorem. Zbl 0614.53032
Galloway, Gregory J.
1986
Some results on Cauchy surface criteria in Lorentzian geometry. Zbl 0611.53054
Galloway, Gregory J.
1985
Decomposition theorems for Lorentzian manifolds with nonpositive curvature. Zbl 0585.53054
Beem, John K.; Ehrlich, Paul E.; Markvorsen, Steen; Galloway, Gregory J.
1985
A Toponogov splitting theorem for Lorentzian manifolds. Zbl 0567.53046
Beem, John K.; Ehrlich, Paul E.; Markvorsen, Steen; Galloway, Gregory J.
1985
Splitting theorems for spatially closed space-times. Zbl 0575.53040
Galloway, Gregory J.
1984
Closed timelike geodesics. Zbl 0547.53033
Galloway, Gregory J.
1984
Some global aspects of compact space-times. Zbl 0543.53047
Galloway, Gregory J.
1984
Minimal surfaces, spatial topology and singularities in space-time. Zbl 0524.53041
Galloway, Gregory J.
1983
Causality violation in spatially closed space-times. Zbl 0512.53062
Galloway, Gregory J.
1983
Compactness criteria for Riemannian manifolds. Zbl 0484.53032
Galloway, Gregory J.
1982
Stable minimal surfaces and spatial topology in general relativity. Zbl 0482.53006
Frankel, Theodore; Galloway, Gregory J.
1982
Some results on the occurrence of compact minimal submanifolds. Zbl 0474.53054
Galloway, Gregory J.
1981
Energy density and spatial curvature in general relativity. Zbl 0483.76135
Frankel, Theodore; Galloway, Gregory J.
1981
A generalization of Myers theorem and an application to relativistic cosmology. Zbl 0444.53036
Galloway, Gregory J.
1979
all top 5

#### Cited by 529 Authors

 36 Galloway, Gregory J. 17 Khuri, Marcus A. 17 McInnes, Brett 10 Chruściel, Piotr Tadeusz 10 Minguzzi, Ettore 10 Woolgar, Eric 9 Ling, Eric 8 Kunduri, Hari K. 8 Sánchez Caja, Miguel 7 Hollands, Stefan 6 Atindogbe, Cyriaque 6 Lucietti, James 5 Barbot, Thierry 5 Cui, Xiaojun 5 de Lima, Henrique F. 5 Duggal, Krishan Lal 5 Eichmair, Michael 5 Hounnonkpe, Raymond 5 Lopes de Lima, Levi 5 Rigoli, Marco 5 Sakovich, Anna 4 Alaee, Aghil 4 Alías, Luis J. 4 Anderson, Michael T. 4 Andersson, Lars Åke 4 Cha, Ye Sle 4 García-Río, Eduardo 4 Grant, James D. E. 4 Guediri, Mohammed 4 Gutiérrez, Manuel 4 Ishibashi, Akihiro 4 Kunzinger, Michael 4 Marolf, Donald M. 4 Rodnianski, Igor 4 Suhr, Stefan 4 Wald, Robert M. 3 Albujer, Alma L. 3 Anabalon, Andres 3 Astefanesei, Dumitru 3 Cederbaum, Carla 3 Dos Santos, Fábio Reis 3 Emparan, Roberto 3 Fajman, David 3 Flores, José Luis 3 Ge, Yuxin 3 Girão, Frederico 3 Graf, Melanie 3 Herrera, Jónatan 3 Hijazi, Oussama 3 Huang, Lan-Hsuan 3 Hubeny, Veronika E. 3 Javaloyes, Miguel Angel 3 Jin, Liang 3 Klainerman, Sergiu 3 Kupeli, Demir N. 3 Lesourd, Martin 3 Mendes, Abraão 3 Montiel, Sebastián 3 Paeng, Seong-Hun 3 Reall, Harvey S. 3 Reiris, Martin 3 Rubio, Rafael María 3 Sämann, Clemens 3 Speck, Jared 3 Tadano, Homare 3 Velásquez, Marco Antonio Lázaro 3 Veronelli, Giona 3 Weinstein, Gilbert 3 Wylie, William C. 3 Yamada, Sumio 3 Yazadjiev, Stoytcho S. 2 Albanese, Guglielmo 2 An, Xinliang 2 Arroja Neves, André 2 Barbosa, Ezequiel R. 2 Bardoux, Yannis 2 Bartnik, Robert A. 2 Béguin, François 2 Belraouti, Mehdi 2 Bernal, Antonio N. 2 Burnett, Gregory A. 2 Cai, Mingliang 2 Cai, Ronggen 2 Caldarelli, Marco M. 2 Cánovas, Verónica L. 2 Carlotto, Alessandro 2 Charmousis, Christos 2 Chodosh, Otis 2 Choque, David 2 Cortier, Julien 2 Dahl, Mattias 2 Dobarro, Fernando Ruben 2 Edelstein, José D. 2 Eschenburg, Jost-Hinrich 2 Freivogel, Ben 2 Fujita, Mitsutoshi 2 Giannoni, Fabio 2 Gicquaud, Romain 2 Gutowski, Jan B. 2 Han, Qing ...and 429 more Authors
all top 5

#### Cited in 102 Serials

 43 Communications in Mathematical Physics 40 Journal of High Energy Physics 27 Annales Henri Poincaré 24 Journal of Geometry and Physics 23 Journal of Mathematical Physics 20 General Relativity and Gravitation 17 Nuclear Physics. B 16 Proceedings of the American Mathematical Society 14 Differential Geometry and its Applications 13 Classical and Quantum Gravity 11 Transactions of the American Mathematical Society 10 Living Reviews in Relativity 9 The Journal of Geometric Analysis 8 Letters in Mathematical Physics 8 Advances in Mathematics 8 Geometriae Dedicata 8 Annals of Global Analysis and Geometry 7 International Journal of Modern Physics D 6 Mathematische Zeitschrift 5 Inventiones Mathematicae 5 Mediterranean Journal of Mathematics 4 International Journal of Modern Physics A 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Physics Letters. B 4 Manuscripta Mathematica 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 International Journal of Geometric Methods in Modern Physics 3 Bulletin of the Australian Mathematical Society 3 Archiv der Mathematik 3 Mathematische Annalen 3 Communications in Partial Differential Equations 3 Bulletin of the American Mathematical Society. New Series 3 Calculus of Variations and Partial Differential Equations 3 Foundations of Physics 3 Journal of Fixed Point Theory and Applications 3 Nonlinear Analysis. Theory, Methods & Applications 2 Modern Physics Letters A 2 Journal of Mathematical Analysis and Applications 2 Annales de l’Institut Fourier 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal of Geometry 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Selecta Mathematica. New Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Communications in Contemporary Mathematics 2 Physical Review D. Series III 2 Central European Journal of Mathematics 2 International Electronic Journal of Geometry 2 Advances in Mathematical Physics 2 Annals of PDE 1 International Journal of Theoretical Physics 1 Journal of Computational Physics 1 Reviews in Mathematical Physics 1 Fortschritte der Physik 1 Acta Mathematica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Bulletin de la Société Mathématique de France 1 Commentationes Mathematicae Universitatis Carolinae 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of Soviet Mathematics 1 Kodai Mathematical Journal 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Revista Matemática Iberoamericana 1 Science in China. Series A 1 International Journal of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Journal of Mathematical Sciences (New York) 1 Documenta Mathematica 1 Doklady Mathematics 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Annalen der Physik. 8th Series 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Gravitation & Cosmology 1 Physical Review Letters 1 Advances in Geometry 1 Journal of Evolution Equations 1 Entropy 1 Milan Journal of Mathematics 1 Analysis in Theory and Applications 1 Journal of Hyperbolic Differential Equations 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Groups, Geometry, and Dynamics 1 Science China. Mathematics 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 ISRN Geometry 1 Annalen der Physik 1 Forum of Mathematics, Sigma ...and 2 more Serials
all top 5

#### Cited in 37 Fields

 323 Differential geometry (53-XX) 288 Relativity and gravitational theory (83-XX) 48 Quantum theory (81-XX) 47 Partial differential equations (35-XX) 38 Global analysis, analysis on manifolds (58-XX) 13 General topology (54-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Astronomy and astrophysics (85-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Manifolds and cell complexes (57-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Information and communication theory, circuits (94-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 2 Numerical analysis (65-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Group theory and generalizations (20-XX) 1 Potential theory (31-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX)