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Author ID: ivey.thomas-a Recent zbMATH articles by "Ivey, Thomas A."
Published as: Ivey, Thomas A.; Ivey, Thomas; Ivey, Tom; Ivey, T.; Ivey, T. A.
Homepage: http://iveyt.people.cofc.edu/
External Links: MGP
Documents Indexed: 50 Publications since 1993, including 6 Books
Reviewing Activity: 11 Reviews
Co-Authors: 22 Co-Authors with 33 Joint Publications
507 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 865 times in 702 Documents Cited by Year
The Ricci flow: techniques and applications. Part I: Geometric aspects. Zbl 1157.53034
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
160
2007
Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Zbl 1105.53001
Ivey, Thomas A.; Landsberg, J. M.
152
2003
Ricci solitons on compact three-manifolds. Zbl 0788.53034
Ivey, Thomas
142
1993
The Ricci flow: techniques and applications. Part II: Analytic aspects. Zbl 1157.53035
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
65
2008
The Ricci flow: techniques and applications. Part III: Geometric-analytic aspects. Zbl 1216.53057
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
49
2010
Knot types, homotopies and stability of closed elastic rods. Zbl 1036.53001
Ivey, Thomas A.; Singer, David A.
27
1999
Hopf hypersurfaces of small Hopf principal curvature in \({\mathbb{C}{\text H}^2}\). Zbl 1177.53045
Ivey, Thomas A.; Ryan, Patrick J.
25
2009
New examples of complete Ricci solitons. Zbl 0812.53045
Ivey, Thomas
25
1994
Bäcklund transformations and knots of constant torsion. Zbl 0912.53002
Calini, Annalisa; Ivey, Thomas
18
1998
The structure Jacobi operator for real hypersurfaces in \({{\mathbb{CP}}^2}\) and \({{\mathbb{C} \mathbb H}^2}\). Zbl 1186.53067
Ivey, Thomas A.; Ryan, Patrick J.
15
2009
Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. Zbl 1361.53001
Ivey, Thomas A.; Landsberg, Joseph M.
13
2016
Remarks on KdV-type flows on star-shaped curves. Zbl 1218.37102
Calini, Annalisa; Ivey, Thomas; Marí Beffa, Gloria
13
2009
The \(^{*}\)-Ricci tensor for hypersurfaces in \(\mathbb{C}\mathbb{P}^n\) and \(\mathbb{C}\mathrm{H}^n\). Zbl 1242.53062
Ivey, Thomas A.; Ryan, Patrick J.
13
2011
Local existence of Ricci solitons. Zbl 0870.53039
Ivey, Thomas A.
12
1996
Hypersurfaces in \(\mathbb{C} \mathrm{P}^{2}\) and \(\mathbb{C} \mathrm{H}^{2}\) with two distinct principal curvatures. Zbl 1337.53067
Ivey, Thomas A.; Ryan, Patrick J.
12
2016
Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions. Zbl 1106.35092
Calini, A.; Ivey, T.
12
2005
Integrable geometric evolution equations for curves. Zbl 1013.53044
Ivey, Thomas A.
11
2001
The Ricci flow: techniques and applications. Part IV: Long-time solutions and related topics. Zbl 1341.53001
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
11
2015
Bäcklund transformations and Darboux integrability for nonlinear wave equations. Zbl 1191.37038
Clelland, Jeanne N.; Ivey, Thomas A.
11
2009
Integrable flows for starlike curves in centroaffine space. Zbl 1358.53018
Calini, Annalisa; Ivey, Thomas; Marí Beffa, Gloria
9
2013
Helices, Hasimoto surfaces and Bäcklund transformations. Zbl 0992.53004
Ivey, Thomas A.
7
2000
Spectral stability analysis for periodic traveling wave solutions of NLS and CGL perturbations. Zbl 1148.35086
Ivey, T.; Lafortune, S.
7
2008
Parametric Bäcklund transformations. I: Phenomenology. Zbl 1060.58026
Clelland, Jeanne N.; Ivey, Thomas A.
6
2005
The Ricci flow on radially symmetric \(\mathbb{R}^ 3\). Zbl 0811.58055
Ivey, Thomas A.
6
1994
Finite-gap solutions of the vortex filament equation: isoperiodic deformations. Zbl 1139.37047
Calini, A.; Ivey, T.
6
2007
A d’Alembert formula for Hopf hypersurfaces. Zbl 1256.53040
Ivey, Thomas A.
6
2011
Austere submanifolds of dimension four: examples and maximal types. Zbl 1232.53008
Ionel, Marianty; Ivey, Thomas
5
2010
Surfaces with orthogonal families of circles. Zbl 0820.53020
Ivey, Thomas
4
1995
Connecting geometry, topology and spectra for finite-gap NLS potentials. Zbl 0979.35134
Calini, Annalisa M.; Ivey, Thomas A.
3
2001
Symmetric pseudospherical surfaces. I: General theory. Zbl 1187.53007
Dorfmeister, Josef F.; Ivey, Thomas; Sterling, Ivan
3
2009
Minimal curves of constant torsion. Zbl 0954.53004
Ivey, Thomas A.
2
2000
Integrable geometric flows for curves in pseudoconformal \(S^3\). Zbl 1476.53110
Calini, Annalisa; Ivey, Thomas
2
2021
Austere submanifolds in \(\mathbb{C}P^n\). Zbl 1362.53063
Ionel, Marianty; Ivey, Thomas A.
2
2016
Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation. Zbl 1390.35329
Ivey, T.; Lafortune, S.
2
2018
Ruled austere submanifolds of dimension four. Zbl 1257.53011
Ionel, Marianty; Ivey, Thomas
2
2012
Ricci solitons on compact Kähler surfaces. Zbl 0873.53026
Ivey, Thomas
1
1997
Affine isometric embedding for surfaces. Zbl 0978.53019
Ivey, Thomas
1
1999
Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation. Zbl 0980.35152
Calini, Annalisa M.; Ivey, Thomas A.
1
2001
Geometric characterization and classification of Bäcklund transformations of sine-Gordon type. Zbl 1422.37051
Clelland, Jeanne N.; Ivey, Thomas A.
1
2018
Isometric embedding and Darboux integrability. Zbl 1429.53019
Clelland, J. N.; Ivey, T. A.; Tehseen, N.; Vassiliou, P. J.
1
2019
Stability of small-amplitude torus knot solutions of the localized induction approximation. Zbl 1223.35286
Calini, Annalisa; Ivey, Thomas
1
2011
Hypersurfaces with Codazzi-type shape operator for a Tanaka-Webster connection. Zbl 1363.53047
Ivey, Thomas A.; Ryan, Patrick J.
1
2015
Integrable geometric flows for curves in pseudoconformal \(S^3\). Zbl 1476.53110
Calini, Annalisa; Ivey, Thomas
2
2021
Isometric embedding and Darboux integrability. Zbl 1429.53019
Clelland, J. N.; Ivey, T. A.; Tehseen, N.; Vassiliou, P. J.
1
2019
Stability of closed solutions to the vortex filament equation hierarchy with application to the Hirota equation. Zbl 1390.35329
Ivey, T.; Lafortune, S.
2
2018
Geometric characterization and classification of Bäcklund transformations of sine-Gordon type. Zbl 1422.37051
Clelland, Jeanne N.; Ivey, Thomas A.
1
2018
Cartan for beginners. Differential geometry via moving frames and exterior differential systems. 2nd edition. Zbl 1361.53001
Ivey, Thomas A.; Landsberg, Joseph M.
13
2016
Hypersurfaces in \(\mathbb{C} \mathrm{P}^{2}\) and \(\mathbb{C} \mathrm{H}^{2}\) with two distinct principal curvatures. Zbl 1337.53067
Ivey, Thomas A.; Ryan, Patrick J.
12
2016
Austere submanifolds in \(\mathbb{C}P^n\). Zbl 1362.53063
Ionel, Marianty; Ivey, Thomas A.
2
2016
The Ricci flow: techniques and applications. Part IV: Long-time solutions and related topics. Zbl 1341.53001
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
11
2015
Hypersurfaces with Codazzi-type shape operator for a Tanaka-Webster connection. Zbl 1363.53047
Ivey, Thomas A.; Ryan, Patrick J.
1
2015
Integrable flows for starlike curves in centroaffine space. Zbl 1358.53018
Calini, Annalisa; Ivey, Thomas; Marí Beffa, Gloria
9
2013
Ruled austere submanifolds of dimension four. Zbl 1257.53011
Ionel, Marianty; Ivey, Thomas
2
2012
The \(^{*}\)-Ricci tensor for hypersurfaces in \(\mathbb{C}\mathbb{P}^n\) and \(\mathbb{C}\mathrm{H}^n\). Zbl 1242.53062
Ivey, Thomas A.; Ryan, Patrick J.
13
2011
A d’Alembert formula for Hopf hypersurfaces. Zbl 1256.53040
Ivey, Thomas A.
6
2011
Stability of small-amplitude torus knot solutions of the localized induction approximation. Zbl 1223.35286
Calini, Annalisa; Ivey, Thomas
1
2011
The Ricci flow: techniques and applications. Part III: Geometric-analytic aspects. Zbl 1216.53057
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
49
2010
Austere submanifolds of dimension four: examples and maximal types. Zbl 1232.53008
Ionel, Marianty; Ivey, Thomas
5
2010
Hopf hypersurfaces of small Hopf principal curvature in \({\mathbb{C}{\text H}^2}\). Zbl 1177.53045
Ivey, Thomas A.; Ryan, Patrick J.
25
2009
The structure Jacobi operator for real hypersurfaces in \({{\mathbb{CP}}^2}\) and \({{\mathbb{C} \mathbb H}^2}\). Zbl 1186.53067
Ivey, Thomas A.; Ryan, Patrick J.
15
2009
Remarks on KdV-type flows on star-shaped curves. Zbl 1218.37102
Calini, Annalisa; Ivey, Thomas; Marí Beffa, Gloria
13
2009
Bäcklund transformations and Darboux integrability for nonlinear wave equations. Zbl 1191.37038
Clelland, Jeanne N.; Ivey, Thomas A.
11
2009
Symmetric pseudospherical surfaces. I: General theory. Zbl 1187.53007
Dorfmeister, Josef F.; Ivey, Thomas; Sterling, Ivan
3
2009
The Ricci flow: techniques and applications. Part II: Analytic aspects. Zbl 1157.53035
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
65
2008
Spectral stability analysis for periodic traveling wave solutions of NLS and CGL perturbations. Zbl 1148.35086
Ivey, T.; Lafortune, S.
7
2008
The Ricci flow: techniques and applications. Part I: Geometric aspects. Zbl 1157.53034
Chow, Bennett; Chu, Sun-Chin; Glickenstein, David; Guenther, Christine; Isenberg, James; Ivey, Tom; Knopf, Dan; Lu, Peng; Luo, Feng; Ni, Lei
160
2007
Finite-gap solutions of the vortex filament equation: isoperiodic deformations. Zbl 1139.37047
Calini, A.; Ivey, T.
6
2007
Finite-gap solutions of the vortex filament equation: genus one solutions and symmetric solutions. Zbl 1106.35092
Calini, A.; Ivey, T.
12
2005
Parametric Bäcklund transformations. I: Phenomenology. Zbl 1060.58026
Clelland, Jeanne N.; Ivey, Thomas A.
6
2005
Cartan for beginners: Differential geometry via moving frames and exterior differential systems. Zbl 1105.53001
Ivey, Thomas A.; Landsberg, J. M.
152
2003
Integrable geometric evolution equations for curves. Zbl 1013.53044
Ivey, Thomas A.
11
2001
Connecting geometry, topology and spectra for finite-gap NLS potentials. Zbl 0979.35134
Calini, Annalisa M.; Ivey, Thomas A.
3
2001
Knot types, Floquet spectra, and finite-gap solutions of the vortex filament equation. Zbl 0980.35152
Calini, Annalisa M.; Ivey, Thomas A.
1
2001
Helices, Hasimoto surfaces and Bäcklund transformations. Zbl 0992.53004
Ivey, Thomas A.
7
2000
Minimal curves of constant torsion. Zbl 0954.53004
Ivey, Thomas A.
2
2000
Knot types, homotopies and stability of closed elastic rods. Zbl 1036.53001
Ivey, Thomas A.; Singer, David A.
27
1999
Affine isometric embedding for surfaces. Zbl 0978.53019
Ivey, Thomas
1
1999
Bäcklund transformations and knots of constant torsion. Zbl 0912.53002
Calini, Annalisa; Ivey, Thomas
18
1998
Ricci solitons on compact Kähler surfaces. Zbl 0873.53026
Ivey, Thomas
1
1997
Local existence of Ricci solitons. Zbl 0870.53039
Ivey, Thomas A.
12
1996
Surfaces with orthogonal families of circles. Zbl 0820.53020
Ivey, Thomas
4
1995
New examples of complete Ricci solitons. Zbl 0812.53045
Ivey, Thomas
25
1994
The Ricci flow on radially symmetric \(\mathbb{R}^ 3\). Zbl 0811.58055
Ivey, Thomas A.
6
1994
Ricci solitons on compact three-manifolds. Zbl 0788.53034
Ivey, Thomas
142
1993
all top 5

Cited by 762 Authors

21 Ivey, Thomas A.
11 Catino, Giovanni
11 De, Uday Chand
11 Panagiotidou, Konstantina
10 Cho, Jong Taek
10 Wang, Linfeng
10 Wang, Yaning
10 Wu, Jiayong
9 Cao, Huai-Dong
9 Cao, Xiaodong
8 Clelland, Jeanne Nielsen
8 Kaimakamis, George
8 Kimura, Makoto
8 Zhang, Yongjia
7 Kawakubo, Satoshi
7 Lee, Man-Chun
7 Sharma, Ramesh
6 Chan, Pak-Yeung
6 Chow, Bennett
6 García-Río, Eduardo
6 Mantegazza, Carlo
6 Marí Beffa, Gloria
6 Pérez Jiménez, Juan de Dios
6 Qu, Changzheng
6 Zhang, Qi-Shuhuason
5 Calini, Annalisa M.
5 Cheng, Liang
5 Ghosh, Amalendu
5 Guo, Hongxin
5 Landsberg, Joseph Montague
5 Lu, Peng
5 Ma, Li
5 Ma, Zilu
5 Majhi, Pradip
5 Mazzieri, Lorenzo
5 Suh, Young Jin
5 Tam, Luen-Fai
5 Vassiliou, Peter John
5 Zhu, Anqiang
4 Anderson, Ian M.
4 Baltazar, Halyson I.
4 Bamler, Richard H.
4 Bayrakdar, Tuna
4 Brendle, Simon
4 Carfora, Mauro
4 Fels, Mark E.
4 Fernández-López, Manuel
4 Knopf, Dan
4 Musso, Emilio
4 Nešović, Emilija
4 Ribeiro, Ernani jun.
4 Sasahara, Toru
4 Shibuya, Kazuhiro
4 Topping, Peter Miles
4 Wylie, William C.
4 Xu, Guoyi
4 Yildiz, Ahmet
4 Zhang, Zhuhong
3 Abolarinwa, Abimbola
3 Baird, Paul
3 Barros, Manuel
3 Bercu, Gabriel
3 Cabezas-Rivas, Esther
3 Chaubey, Sudhakar Kumar
3 Chen, Chih-Wei
3 Chen, Qiang
3 Chiu, Hung-Lin
3 Chu, Yawei
3 De, Krishnendu
3 Deruelle, Alix
3 Deshmukh, Sharief
3 Di Giovanni, Francesco
3 Garay, Oscar Jesus
3 Gomes, José Nazareno Vieira
3 Grbović, Milica
3 Guenther, Christine M.
3 Holweck, Frédéric
3 Hwang, Jun-Muk
3 Isenberg, James A.
3 Ishikawa, Goo
3 Kar, Debabrata Kumar
3 Korpinar, Talat
3 Kotschwar, Brett L.
3 Kröncke, Klaus
3 Lai, Sin-Hua
3 Lauret, Jorge
3 Li, Xiang-Dong
3 Li, Yu
3 Malakhaltsev, Mikhail Armenovich
3 Mastrolia, Paolo
3 Ortega, Miguel
3 Perktas, Selcen Yuksel
3 Philipowski, Robert
3 Postolache, Mihai
3 Robles, Colleen
3 Ryan, Patrick J.
3 Sabau, Sorin Vasile
3 Sariaydin, Muhammed Talat
3 Savas-Halilaj, Andreas
3 Simon, Miles
...and 662 more Authors
all top 5

Cited in 198 Serials

46 The Journal of Geometric Analysis
35 Journal of Geometry and Physics
24 Differential Geometry and its Applications
21 Proceedings of the American Mathematical Society
19 Mathematische Annalen
17 Transactions of the American Mathematical Society
17 Calculus of Variations and Partial Differential Equations
14 Advances in Mathematics
13 Journal of Mathematical Analysis and Applications
13 Journal of Mathematical Physics
12 Journal of Functional Analysis
12 International Journal of Geometric Methods in Modern Physics
10 Geometriae Dedicata
10 Journal für die Reine und Angewandte Mathematik
10 Annals of Global Analysis and Geometry
10 Geometry & Topology
9 Physica D
9 Mediterranean Journal of Mathematics
8 Journal of Geometry
8 Results in Mathematics
7 Tôhoku Mathematical Journal. Second Series
6 Mathematische Zeitschrift
6 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
5 Geometric and Functional Analysis. GAFA
5 Journal of Nonlinear Science
5 Advances in Geometry
5 Advances in Mathematical Physics
5 Science China. Mathematics
4 Nonlinearity
4 Beiträge zur Algebra und Geometrie
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Monatshefte für Mathematik
4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Pacific Journal of Mathematics
4 Studies in Applied Mathematics
4 Tokyo Journal of Mathematics
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Turkish Journal of Mathematics
4 Communications in Contemporary Mathematics
4 International Electronic Journal of Geometry
4 Afrika Matematika
4 Korean Journal of Mathematics
3 Archive for Rational Mechanics and Analysis
3 Annales de l’Institut Fourier
3 Glasgow Mathematical Journal
3 Inventiones Mathematicae
3 Journal of Algebra
3 Journal of the Korean Mathematical Society
3 Manuscripta Mathematica
3 Rendiconti del Circolo Matemàtico di Palermo. Serie II
3 Chinese Annals of Mathematics. Series B
3 Acta Applicandae Mathematicae
3 Discrete & Computational Geometry
3 Communications in Partial Differential Equations
3 Journal of Mathematical Sciences (New York)
3 Filomat
3 Selecta Mathematica. New Series
3 Balkan Journal of Geometry and its Applications (BJGA)
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Acta Mechanica
2 Bulletin of the Australian Mathematical Society
2 Communications in Mathematical Physics
2 Mathematical Proceedings of the Cambridge Philosophical Society
2 Chaos, Solitons and Fractals
2 Canadian Mathematical Bulletin
2 Illinois Journal of Mathematics
2 Journal of Differential Equations
2 Journal of the Mathematical Society of Japan
2 Kyungpook Mathematical Journal
2 Mathematische Nachrichten
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Revista de la Unión Matemática Argentina
2 Topology and its Applications
2 Journal of Symbolic Computation
2 Revista Matemática Iberoamericana
2 International Journal of Mathematics
2 Journal of Elasticity
2 SIAM Journal on Mathematical Analysis
2 Stochastic Processes and their Applications
2 Bulletin of the American Mathematical Society. New Series
2 Russian Mathematics
2 Potential Analysis
2 Honam Mathematical Journal
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Lobachevskii Journal of Mathematics
2 DGDS. Differential Geometry – Dynamical Systems
2 Journal of Evolution Equations
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Hacettepe Journal of Mathematics and Statistics
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
2 Foundations of Physics
2 Journal of Fixed Point Theory and Applications
2 Frontiers of Mathematics in China
2 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
1 Archive for History of Exact Sciences
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
...and 98 more Serials
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Cited in 48 Fields

528 Differential geometry (53-XX)
139 Global analysis, analysis on manifolds (58-XX)
136 Partial differential equations (35-XX)
70 Dynamical systems and ergodic theory (37-XX)
43 Algebraic geometry (14-XX)
42 Computer science (68-XX)
38 Several complex variables and analytic spaces (32-XX)
21 Manifolds and cell complexes (57-XX)
19 Numerical analysis (65-XX)
18 Mechanics of deformable solids (74-XX)
16 Ordinary differential equations (34-XX)
15 Calculus of variations and optimal control; optimization (49-XX)
12 Topological groups, Lie groups (22-XX)
12 Relativity and gravitational theory (83-XX)
11 Quantum theory (81-XX)
9 Mechanics of particles and systems (70-XX)
8 Commutative algebra (13-XX)
8 Fluid mechanics (76-XX)
7 Field theory and polynomials (12-XX)
7 Geometry (51-XX)
7 Convex and discrete geometry (52-XX)
7 Optics, electromagnetic theory (78-XX)
6 Probability theory and stochastic processes (60-XX)
6 Statistical mechanics, structure of matter (82-XX)
5 Special functions (33-XX)
5 Functional analysis (46-XX)
5 Operator theory (47-XX)
5 Systems theory; control (93-XX)
4 Number theory (11-XX)
4 Nonassociative rings and algebras (17-XX)
4 Difference and functional equations (39-XX)
3 Mathematical logic and foundations (03-XX)
3 Combinatorics (05-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Functions of a complex variable (30-XX)
3 Operations research, mathematical programming (90-XX)
3 Biology and other natural sciences (92-XX)
2 History and biography (01-XX)
2 Associative rings and algebras (16-XX)
2 Approximations and expansions (41-XX)
2 Information and communication theory, circuits (94-XX)
1 General and overarching topics; collections (00-XX)
1 Group theory and generalizations (20-XX)
1 Real functions (26-XX)
1 Potential theory (31-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Algebraic topology (55-XX)
1 Astronomy and astrophysics (85-XX)

Citations by Year