×

Nabutovsky, Alexander

Author ID: nabutovsky.alexander Recent zbMATH articles by "Nabutovsky, Alexander"
Published as: Nabutovsky, Alexander; Nabutovsky, A.; Nabutovsky, A. V.
Homepage: http://www.math.toronto.edu/nabutovsky/
External Links: MGP · Wikidata

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 247 times in 135 Documents Cited by Year
Non-recursive functions, knots “with thick ropes”, and self-clenching “thick” hyperspheres. Zbl 0845.57023
Nabutovsky, Alexander
22
1995
The length of the shortest closed geodesic on a 2-dimensional sphere. Zbl 1003.53030
Nabutovsky, A.; Rotman, R.
21
2002
Volume, diameter and the minimal mass of a stationary 1-cycle. Zbl 1073.53057
Nabutovsky, A.; Rotman, R.
16
2004
The fractal nature of Riem/Diff. I. Zbl 1039.58009
Nabutovsky, Alexander; Weinberger, Shmuel
13
2003
Einstein structures: Existence versus uniqueness. Zbl 0842.53032
Nabutovsky, A.
12
1995
Algorithmic unsolvability of the triviality problem for multidimensional knots. Zbl 0862.57017
Nabutovsky, Alexander; Weinberger, Shmuel
10
1996
Disconnectedness of sublevel sets of some Riemannian functionals. Zbl 0872.53030
Nabutovsky, A.
8
1996
Geometry of the space of triangulations of a compact manifold. Zbl 0863.57015
Nabutovsky, A.
8
1996
Variational problems for Riemannian functionals and arithmetic groups. Zbl 1003.58007
Nabutovsky, Alexander; Weinberger, Shmuel
8
2000
Contracting the boundary of a Riemannian 2-disc. Zbl 1333.53049
Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina
8
2015
Linear bounds for lengths of geodesic loops on Riemannian 2-spheres. Zbl 1243.53075
Nabutovsky, Alexander; Rotman, Regina
8
2011
Fundamental group and contractible closed geodesics. Zbl 0973.53031
Nabutovsky, Alexander
7
1996
The length of the second shortest geodesic. Zbl 1178.53039
Nabutovsky, Alexander; Rotman, Regina
7
2009
Curvature-free upper bounds for the smallest area of a minimal surface. Zbl 1110.53047
Nabutovsky, A.; Rotman, R.
7
2006
The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group. Zbl 1079.53060
Nabutovsky, Alexander; Rotman, Regina
6
2005
Length of geodesics on a two-dimensional sphere. Zbl 1170.53023
Nabutovsky, Alexander; Rotman, Regina
6
2009
Algorithmic aspects of homeomorphism problems. Zbl 0932.57021
Nabutovsky, Alexander; Weinberger, Shmuel
5
1999
Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem. Zbl 1039.53042
Nabutovsky, Alexander; Rotman, Regina
5
2003
Nonrecursive functions in real algebraic geometry. Zbl 0692.14013
Nabutovsky, Alexander
5
1989
Length of geodesics and quantitative Morse theory on loop spaces. Zbl 1273.53035
Nabutovsky, Alexander; Rotman, Regina
5
2013
Shapes of geodesic nets. Zbl 1134.53018
Nabutovsky, Alexander; Rotman, Regina
5
2007
Number of solutions with a norm bounded by a given constant of a semilinear elliptic PDE with a generic right-hand side. Zbl 0762.35033
Nabutovsky, Alexander
4
1992
Geodesic nets: some examples and open problems. Zbl 1519.53031
Nabutovsky, Alexander; Parsch, Fabian
4
2023
Lengths of three simple periodic geodesics on a Riemannian 2-sphere. Zbl 1361.53035
Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina
4
2017
Noncomputability arising in dynamical triangulation model of four- dimensional quantum gravity. Zbl 0785.53065
Nabutovsky, A.; Ben-Av, R.
4
1993
Linear bounds for lengths of geodesic segments on Riemannian 2-spheres. Zbl 1282.53032
Nabutovsky, Alexander; Rotman, Regina
4
2013
A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017
Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A.
4
2014
Morse landscapes of Riemannian functionals and related problems. Zbl 1230.58010
Nabutovsky, Alexander
4
2011
Isotopies and non-recursive functions in real algebraic geometry. Zbl 0715.14045
Nabutovsky, Alexander
3
1990
Lengths of geodesics between two points on a Riemannian manifold. Zbl 1113.53026
Nabutovsky, Alexander; Rotman, Regina
3
2007
Betti numbers of finitely presented groups and very rapidly growing functions. Zbl 1139.20030
Nabutovsky, Alexander; Weinberger, Shmuel
3
2007
Short geodesic segments between two points on a closed Riemannian manifold. Zbl 1180.53043
Nabutovsky, Alexander; Rotman, Regina
3
2009
Combinatorics of the spaces of Riemannian structures and logic phenomena of Euclidean quantum gravity. Zbl 1104.53040
Nabutovsky, Alexander
3
2006
Balanced presentations of the trivial group and four-dimensional geometry. Zbl 1362.58004
Lishak, Boris; Nabutovsky, Alexander
2
2017
Effective universal coverings and local minima of the length functional on loop spaces. Zbl 1203.53039
Nabutovsky, Alexander
2
2010
Lengths of simple periodic geodesics on two-dimensional Riemannian spheres. Zbl 1239.53060
Nabutovsky, Alexander; Rotman, Regina
2
2011
Filling metric spaces. Zbl 1506.28004
Liokumovich, Yevgeny; Lishak, Boris; Nabutovsky, Alexander; Rotman, Regina
2
2022
Smoothing of real algebraic hypersurfaces by rigid isotopies. Zbl 0746.14022
Nabutovsky, Alexander
1
1991
Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group. Zbl 1423.57043
Lishak, Boris; Nabutovsky, Alexander
1
2019
Sweepouts of closed Riemannian manifolds. Zbl 1486.53054
Nabutovsky, Alexander; Rotman, Regina; Sabourau, Stéphane
1
2021
Irrationality of limits of quickly convergent algebraic numbers sequences. Zbl 0655.10032
Nabutovsky, A. V.
1
1988
Geodesic nets: some examples and open problems. Zbl 1519.53031
Nabutovsky, Alexander; Parsch, Fabian
4
2023
Filling metric spaces. Zbl 1506.28004
Liokumovich, Yevgeny; Lishak, Boris; Nabutovsky, Alexander; Rotman, Regina
2
2022
Sweepouts of closed Riemannian manifolds. Zbl 1486.53054
Nabutovsky, Alexander; Rotman, Regina; Sabourau, Stéphane
1
2021
Sizes of spaces of triangulations of 4-manifold and balanced presentations of the trivial group. Zbl 1423.57043
Lishak, Boris; Nabutovsky, Alexander
1
2019
Lengths of three simple periodic geodesics on a Riemannian 2-sphere. Zbl 1361.53035
Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina
4
2017
Balanced presentations of the trivial group and four-dimensional geometry. Zbl 1362.58004
Lishak, Boris; Nabutovsky, Alexander
2
2017
Contracting the boundary of a Riemannian 2-disc. Zbl 1333.53049
Liokumovich, Yevgeny; Nabutovsky, Alexander; Rotman, Regina
8
2015
A few snapshots from the work of Mikhail Gromov. Zbl 1317.01017
Burago, D.; Eliashberg, Y.; Bestvina, M.; Forstnerič, F.; Guth, L.; Nabutovsky, A.; Phillips, A.; Roe, J.; Vershik, A.
4
2014
Length of geodesics and quantitative Morse theory on loop spaces. Zbl 1273.53035
Nabutovsky, Alexander; Rotman, Regina
5
2013
Linear bounds for lengths of geodesic segments on Riemannian 2-spheres. Zbl 1282.53032
Nabutovsky, Alexander; Rotman, Regina
4
2013
Linear bounds for lengths of geodesic loops on Riemannian 2-spheres. Zbl 1243.53075
Nabutovsky, Alexander; Rotman, Regina
8
2011
Morse landscapes of Riemannian functionals and related problems. Zbl 1230.58010
Nabutovsky, Alexander
4
2011
Lengths of simple periodic geodesics on two-dimensional Riemannian spheres. Zbl 1239.53060
Nabutovsky, Alexander; Rotman, Regina
2
2011
Effective universal coverings and local minima of the length functional on loop spaces. Zbl 1203.53039
Nabutovsky, Alexander
2
2010
The length of the second shortest geodesic. Zbl 1178.53039
Nabutovsky, Alexander; Rotman, Regina
7
2009
Length of geodesics on a two-dimensional sphere. Zbl 1170.53023
Nabutovsky, Alexander; Rotman, Regina
6
2009
Short geodesic segments between two points on a closed Riemannian manifold. Zbl 1180.53043
Nabutovsky, Alexander; Rotman, Regina
3
2009
Shapes of geodesic nets. Zbl 1134.53018
Nabutovsky, Alexander; Rotman, Regina
5
2007
Lengths of geodesics between two points on a Riemannian manifold. Zbl 1113.53026
Nabutovsky, Alexander; Rotman, Regina
3
2007
Betti numbers of finitely presented groups and very rapidly growing functions. Zbl 1139.20030
Nabutovsky, Alexander; Weinberger, Shmuel
3
2007
Curvature-free upper bounds for the smallest area of a minimal surface. Zbl 1110.53047
Nabutovsky, A.; Rotman, R.
7
2006
Combinatorics of the spaces of Riemannian structures and logic phenomena of Euclidean quantum gravity. Zbl 1104.53040
Nabutovsky, Alexander
3
2006
The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group. Zbl 1079.53060
Nabutovsky, Alexander; Rotman, Regina
6
2005
Volume, diameter and the minimal mass of a stationary 1-cycle. Zbl 1073.53057
Nabutovsky, A.; Rotman, R.
16
2004
The fractal nature of Riem/Diff. I. Zbl 1039.58009
Nabutovsky, Alexander; Weinberger, Shmuel
13
2003
Upper bounds on the length of a shortest closed geodesic and quantitative Hurewicz theorem. Zbl 1039.53042
Nabutovsky, Alexander; Rotman, Regina
5
2003
The length of the shortest closed geodesic on a 2-dimensional sphere. Zbl 1003.53030
Nabutovsky, A.; Rotman, R.
21
2002
Variational problems for Riemannian functionals and arithmetic groups. Zbl 1003.58007
Nabutovsky, Alexander; Weinberger, Shmuel
8
2000
Algorithmic aspects of homeomorphism problems. Zbl 0932.57021
Nabutovsky, Alexander; Weinberger, Shmuel
5
1999
Algorithmic unsolvability of the triviality problem for multidimensional knots. Zbl 0862.57017
Nabutovsky, Alexander; Weinberger, Shmuel
10
1996
Disconnectedness of sublevel sets of some Riemannian functionals. Zbl 0872.53030
Nabutovsky, A.
8
1996
Geometry of the space of triangulations of a compact manifold. Zbl 0863.57015
Nabutovsky, A.
8
1996
Fundamental group and contractible closed geodesics. Zbl 0973.53031
Nabutovsky, Alexander
7
1996
Non-recursive functions, knots “with thick ropes”, and self-clenching “thick” hyperspheres. Zbl 0845.57023
Nabutovsky, Alexander
22
1995
Einstein structures: Existence versus uniqueness. Zbl 0842.53032
Nabutovsky, A.
12
1995
Noncomputability arising in dynamical triangulation model of four- dimensional quantum gravity. Zbl 0785.53065
Nabutovsky, A.; Ben-Av, R.
4
1993
Number of solutions with a norm bounded by a given constant of a semilinear elliptic PDE with a generic right-hand side. Zbl 0762.35033
Nabutovsky, Alexander
4
1992
Smoothing of real algebraic hypersurfaces by rigid isotopies. Zbl 0746.14022
Nabutovsky, Alexander
1
1991
Isotopies and non-recursive functions in real algebraic geometry. Zbl 0715.14045
Nabutovsky, Alexander
3
1990
Nonrecursive functions in real algebraic geometry. Zbl 0692.14013
Nabutovsky, Alexander
5
1989
Irrationality of limits of quickly convergent algebraic numbers sequences. Zbl 0655.10032
Nabutovsky, A. V.
1
1988
all top 5

Cited by 166 Authors

20 Nabutovsky, Alexander
17 Rotman, Regina
6 Liokumovich, Yevgeny
6 Wagner, Uli
5 Katz, Mikhail G.
5 Rawdon, Eric J.
5 Weinberger, Shmuel
4 Adelstein, Ian M.
4 Downey, Rodney Graham
4 Durumeric, Oguz C.
4 Lishak, Boris
4 Matoušek, Jiří
3 Čadek, Martin
3 Chambers, Gregory R.
3 Gromov, Mikhael Leonidovich
3 Krčál, Marek
3 Manturov, Vassiliĭ Olegovich
3 Parsch, Fabian
3 Sabourau, Stéphane
3 Simon, Jonathan K.
3 Tancer, Martin
3 Vokřínek, Lukáš
3 Zhu, Zhifei
2 Balacheff, Florent
2 Cantarella, Jason H.
2 Cheng, Herng Yi
2 Csima, Barbara F.
2 Fedoseev, Denis Aleksandrovich
2 Freedman, Michael Hartley
2 Hirschfeldt, Denis Roman
2 Itoh, Jin-ichi
2 Kim, Seongjeong
2 Manin, Yuriĭ Ivanovich
2 Ng, KengMeng
2 Nikonov, Igor Mikhailovich
2 Papasoglu, Panos
2 Piatek, Michael
2 Sergeraert, Francis
2 Simpson, Stephen G.
2 Soare, Robert I.
2 Staffa, Bruno
2 Vargas Pallete, Franco
2 Vîlcu, Costin
2 Wu, Nan
1 Abbondandolo, Alberto
1 Acquistapace, Francesca
1 Adams, Henry
1 Adiprasito, Karim Alexander
1 Alagalingam, Meru
1 Allais, Simon
1 Álvarez Paiva, Juan Carlos
1 Alves, Marcelo R. R.
1 Andersson, Lars Åke
1 Ashton, Ted
1 Azvolinsky, Arthur
1 Barbosa, Ezequiel R.
1 Barmpalias, George
1 Beach, I.
1 Belegradek, Igor
1 Benedetti, Riccardo
1 Berger, Marcel
1 Björner, Anders
1 Bramham, Barney
1 Broglia, Fabrizio
1 Brügmann, Bernd
1 Buck, Gregory R.
1 Burago, Dmitri
1 Burns, Keith
1 Burton, Benjamin A.
1 Cabello, Sergio
1 Catterall, Simon
1 Chambers, Erin Wolf
1 Chang, Stanley S.
1 Chodosh, Otis
1 Coskunuzer, Baris
1 Da Costa, Newton Carneiro Affonso
1 Dahinden, Lucas
1 De Mesmay, Arnaud
1 Donato, Sidney
1 Doria, Francisco Antonio
1 Dotterrer, Dominic
1 Ferry, Steven C.
1 Fu, Joseph Howland Guthrie
1 Fujiwara, Koji
1 Furtado do Amaral, A. F.
1 Gelbukha, Irina
1 Glynn-Adey, Parker
1 Goaoc, Xavier
1 Groman, Yoel
1 Guth, Lawrence David
1 Hare, Kevin G.
1 Hinman, Joshua
1 Hryniewicz, Umberto L.
1 Hu, Jing
1 Ieiri, K.
1 Ivanov, Sergei Vladimirovich
1 Izmestiev, Ivan
1 Jabbour, Antonia
1 Kajigaya, Toru
1 Katz, Karin Usadi
...and 66 more Authors
all top 5

Cited in 66 Serials

11 Geometric and Functional Analysis. GAFA
10 Journal of Topology and Analysis
7 Geometriae Dedicata
6 Geometry & Topology
5 Journal of Knot Theory and its Ramifications
4 Mathematische Annalen
4 Topology and its Applications
4 The Journal of Geometric Analysis
4 Algebraic & Geometric Topology
3 Journal of Differential Geometry
3 Mathematische Zeitschrift
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 Discrete & Computational Geometry
3 Experimental Mathematics
2 Communications in Mathematical Physics
2 Israel Journal of Mathematics
2 Advances in Mathematics
2 Duke Mathematical Journal
2 The Journal of Symbolic Logic
2 The Bulletin of Symbolic Logic
2 Foundations of Computational Mathematics
1 American Mathematical Monthly
1 Communications on Pure and Applied Mathematics
1 International Journal of Theoretical Physics
1 Journal of Mathematical Physics
1 Physics Reports
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Functional Analysis and its Applications
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Computer and System Sciences
1 Journal of Differential Equations
1 Journal für die Reine und Angewandte Mathematik
1 Memoirs of the American Mathematical Society
1 Results in Mathematics
1 Theoretical Computer Science
1 Tôhoku Mathematical Journal. Second Series
1 Ergodic Theory and Dynamical Systems
1 Annals of Pure and Applied Logic
1 Revista Matemática Iberoamericana
1 SIAM Journal on Discrete Mathematics
1 Differential Geometry and its Applications
1 MSCS. Mathematical Structures in Computer Science
1 Proceedings of the National Academy of Sciences of the United States of America
1 Filomat
1 Selecta Mathematica. New Series
1 Electronic Research Announcements of the American Mathematical Society
1 Journal of the ACM
1 Annals of Mathematics. Second Series
1 Regular and Chaotic Dynamics
1 Journal of the European Mathematical Society (JEMS)
1 Living Reviews in Relativity
1 Physical Review Letters
1 Advances in Geometry
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Journal of Fixed Point Theory and Applications
1 Logical Methods in Computer Science
1 Involve
1 Bulletin of Mathematical Sciences
1 Computability
1 Nonlinear Analysis. Theory, Methods & Applications
1 Open Mathematics
1 SIAM Journal on Applied Algebra and Geometry
1 Graduate Journal of Mathematics

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.