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Burstall, Francis Everett

Author ID: burstall.francis-e Recent zbMATH articles by "Burstall, Francis Everett"
Published as: Burstall, F. E.; Burstall, Francis E.; Burstall, F.; Burstall, Francis; Burstall, Francic E.; Burstall, Fran
Homepage: https://people.bath.ac.uk/feb/
External Links: MGP · ORCID · Wikidata · Google Scholar
Documents Indexed: 58 Publications since 1984, including 2 Books and 6 Additional arXiv Preprints
Co-Authors: 30 Co-Authors with 42 Joint Publications
445 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 751 times in 426 Documents Cited by Year
Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces. Zbl 0699.53059
Burstall, Francic E.; Rawnsley, John H.
85
1990
Conformal geometry of surfaces in \(S^4\) and quaternions. Zbl 1033.53001
Burstall, F. E.; Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.
61
2002
Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras. Zbl 0796.53063
Burstall, F. E.; Ferus, D.; Pedit, F.; Pinkall, U.
53
1993
The construction of harmonic maps into complex Grassmannians. Zbl 0588.58018
Burstall, F. E.; Wood, J. C.
52
1986
Harmonic maps via Adler-Kostant-Symes theory. Zbl 0828.58021
Burstall, F. E.; Pedit, F.
46
1994
Schwarzian derivatives and flows of surfaces. Zbl 1031.53026
Burstall, Francis; Pedit, Franz; Pinkall, Ulrich
42
2002
Isothermic surfaces: conformal geometry, Clifford algebras and integrable systems. Zbl 1105.53002
Burstall, F. E.
37
2006
Curved flats and isothermic surfaces. Zbl 0902.53038
Burstall, F.; Hertrich-Jeromin, U.; Pedit, F.; Pinkall, U.
27
1997
Harmonic two-spheres in compact symmetric spaces, revisited. Zbl 0897.58012
Burstall, F. E.; Guest, M. A.
27
1997
Dressing orbits of harmonic maps. Zbl 0966.58007
Burstall, F. E.; Pedit, F.
23
1995
Harmonic tori in spheres and complex projective spaces. Zbl 0835.53059
Burstall, F. E.
23
1995
Stability of harmonic maps of Kähler manifolds. Zbl 0678.53062
Burns, D.; Burstall, F.; de Bartolomeis, P.; Rawnsley, J.
21
1989
Tournaments, flags, and harmonic maps. Zbl 0597.58005
Burstall, F. E.; Salamon, S. M.
20
1987
Submanifold geometry in generalized flag manifolds. Zbl 1048.53012
Burstall, Francis E.; Calderbank, David M. J.
16
2004
Isothermic submanifolds of symmetric \(R\)-spaces. Zbl 1245.53049
Burstall, Francis E.; Donaldson, Neil M.; Pedit, Franz; Pinkall, Ulrich
14
2011
Discrete linear Weingarten surfaces. Zbl 1411.53007
Burstall, F.; Hertrich-Jeromin, U.; Rossman, W.
14
2018
Lie geometry of linear Weingarten surfaces. Zbl 1252.53018
Burstall, Francis E.; Hertrich-Jeromin, Udo; Rossman, Wayne
13
2012
Special isothermic surfaces of type \(d\). Zbl 1239.53008
Burstall, F. E.; Santos, S. D.
12
2012
Harmonic maps of finite energy from noncompact manifolds. Zbl 0622.58008
Burstall, Francis E.
12
1984
Semi-discrete isothermic surfaces. Zbl 1347.53012
Burstall, F.; Hertrich-Jeromin, U.; Müller, C.; Rossman, W.
11
2016
The Ribaucour transformation in Lie sphere geometry. Zbl 1104.53050
Burstall, F. E.; Hertrich-Jeromin, U.
11
2006
Discrete special isothermic surfaces. Zbl 1308.53020
Burstall, F.; Hertrich-Jeromin, U.; Rossman, W.; Santos, S.
11
2015
Lie geometry of flat fronts in hyperbolic space. Zbl 1201.53061
Burstall, Francis E.; Hertrich-Jeromin, Udo; Rossman, Wayne
10
2010
Twistor spaces for Riemannian symmetric spaces. Zbl 0788.53045
Burstall, Francis; Gutt, Simone; Rawnsley, John
9
1993
Stable harmonic 2-spheres in symmetric spaces. Zbl 0617.58019
Burstall, F.; Rawnsley, J.; Salamon, S.
8
1987
Equivariant harmonic cylinders. Zbl 1158.53050
Burstall, F. E.; Kilian, M.
8
2006
Kähler submanifolds with parallel pluri-mean curvature. Zbl 1046.53041
Burstall, F. E.; Eschenburg, J.-H.; Ferreira, M. J.; Tribuzy, R.
8
2004
Polynomial conserved quantities of Lie applicable surfaces. Zbl 1412.53021
Burstall, Francis E.; Hertrich-Jeromin, Udo; Pember, Mason; Rossman, Wayne
7
2019
Twistors, 4-symmetric spaces and integrable systems. Zbl 1162.53035
Burstall, Francis E.; Khemar, Idrisse
7
2009
A twistor description of harmonic maps of a 2-sphere into a Grassmannian. Zbl 0575.58018
Burstall, F. E.
7
1986
Harmonic maps in unfashionable geometries. Zbl 1010.53049
Burstall, Francis; Hertrich-Jeromin, Udo
7
2002
Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics. Zbl 1403.53017
Burstall, Francis E.; Hertrich-Jeromin, Udo; Suyama, Yoshihiko
6
2018
Dressing transformations of constrained Willmore surfaces. Zbl 1306.53051
Burstall, Francis E.; Quintino, Áurea C.
6
2014
Ribaucour coordinates. Zbl 1433.53010
Burstall, F.; Hertrich-Jeromin, U.; Miro, M. Lara
5
2019
Darboux transforms and simple factor dressing of constant mean curvature surfaces. Zbl 1269.53009
Burstall, F. E.; Dorfmeister, J. F.; Leschke, K.; Quintino, A. C.
5
2013
Hermitian structures on Hermitian symmetric spaces. Zbl 0795.32011
Burstall, F.; Muškarov, O.; Grantcharov, G.; Rawnsley, J.
4
1993
Sphères harmoniques dans les groupes de Lie compacts et courbes holomorphes dans les espace homogènes. (Harmonic spheres in compact Lie groups and holomorphic curves in homogeneous spaces). Zbl 0594.58024
Burstall, Francis; Rawnsley, John
4
1986
Stability of classical solutions of two-dimensional Grassmannian models. Zbl 0627.58029
Burstall, F. E.; Rawnsley, J. H.
4
1987
Minimal surfaces in quaternionic symmetric spaces. Zbl 0726.53036
Burstall, F. E.
3
1990
Notes on transformations in integrable geometry. Zbl 1404.37089
Burstall, Fran
2
2017
Harmonic maps and soliton theory. Zbl 0875.53006
Burstall, Francis E.
2
1992
Twistor fibrations of flag manifolds and harmonic maps of a 2-sphere into a Grassmannian. Zbl 0648.58011
Burstall, F. E.
2
1985
Lie applicable surfaces and curved flats. Zbl 1505.53019
Burstall, Francis; Pember, Mason
2
2022
Discrete \(\Omega\)-nets and Guichard nets via discrete Koenigs nets. Zbl 07740438
Burstall, F. E.; Cho, J.; Hertrich-Jeromin, U.; Pember, M.; Rossman, W.
2
2023
On conformal Gauss maps. Zbl 1459.53017
Burstall, F. E.
2
2019
Discrete \(\Omega\)-nets and Guichard nets via discrete Koenigs nets. Zbl 07740438
Burstall, F. E.; Cho, J.; Hertrich-Jeromin, U.; Pember, M.; Rossman, W.
2
2023
Lie applicable surfaces and curved flats. Zbl 1505.53019
Burstall, Francis; Pember, Mason
2
2022
Polynomial conserved quantities of Lie applicable surfaces. Zbl 1412.53021
Burstall, Francis E.; Hertrich-Jeromin, Udo; Pember, Mason; Rossman, Wayne
7
2019
Ribaucour coordinates. Zbl 1433.53010
Burstall, F.; Hertrich-Jeromin, U.; Miro, M. Lara
5
2019
On conformal Gauss maps. Zbl 1459.53017
Burstall, F. E.
2
2019
Discrete linear Weingarten surfaces. Zbl 1411.53007
Burstall, F.; Hertrich-Jeromin, U.; Rossman, W.
14
2018
Curvilinear coordinates on generic conformally flat hypersurfaces and constant curvature 2-metrics. Zbl 1403.53017
Burstall, Francis E.; Hertrich-Jeromin, Udo; Suyama, Yoshihiko
6
2018
Notes on transformations in integrable geometry. Zbl 1404.37089
Burstall, Fran
2
2017
Semi-discrete isothermic surfaces. Zbl 1347.53012
Burstall, F.; Hertrich-Jeromin, U.; Müller, C.; Rossman, W.
11
2016
Discrete special isothermic surfaces. Zbl 1308.53020
Burstall, F.; Hertrich-Jeromin, U.; Rossman, W.; Santos, S.
11
2015
Dressing transformations of constrained Willmore surfaces. Zbl 1306.53051
Burstall, Francis E.; Quintino, Áurea C.
6
2014
Darboux transforms and simple factor dressing of constant mean curvature surfaces. Zbl 1269.53009
Burstall, F. E.; Dorfmeister, J. F.; Leschke, K.; Quintino, A. C.
5
2013
Lie geometry of linear Weingarten surfaces. Zbl 1252.53018
Burstall, Francis E.; Hertrich-Jeromin, Udo; Rossman, Wayne
13
2012
Special isothermic surfaces of type \(d\). Zbl 1239.53008
Burstall, F. E.; Santos, S. D.
12
2012
Isothermic submanifolds of symmetric \(R\)-spaces. Zbl 1245.53049
Burstall, Francis E.; Donaldson, Neil M.; Pedit, Franz; Pinkall, Ulrich
14
2011
Lie geometry of flat fronts in hyperbolic space. Zbl 1201.53061
Burstall, Francis E.; Hertrich-Jeromin, Udo; Rossman, Wayne
10
2010
Twistors, 4-symmetric spaces and integrable systems. Zbl 1162.53035
Burstall, Francis E.; Khemar, Idrisse
7
2009
Isothermic surfaces: conformal geometry, Clifford algebras and integrable systems. Zbl 1105.53002
Burstall, F. E.
37
2006
The Ribaucour transformation in Lie sphere geometry. Zbl 1104.53050
Burstall, F. E.; Hertrich-Jeromin, U.
11
2006
Equivariant harmonic cylinders. Zbl 1158.53050
Burstall, F. E.; Kilian, M.
8
2006
Submanifold geometry in generalized flag manifolds. Zbl 1048.53012
Burstall, Francis E.; Calderbank, David M. J.
16
2004
Kähler submanifolds with parallel pluri-mean curvature. Zbl 1046.53041
Burstall, F. E.; Eschenburg, J.-H.; Ferreira, M. J.; Tribuzy, R.
8
2004
Conformal geometry of surfaces in \(S^4\) and quaternions. Zbl 1033.53001
Burstall, F. E.; Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.
61
2002
Schwarzian derivatives and flows of surfaces. Zbl 1031.53026
Burstall, Francis; Pedit, Franz; Pinkall, Ulrich
42
2002
Harmonic maps in unfashionable geometries. Zbl 1010.53049
Burstall, Francis; Hertrich-Jeromin, Udo
7
2002
Curved flats and isothermic surfaces. Zbl 0902.53038
Burstall, F.; Hertrich-Jeromin, U.; Pedit, F.; Pinkall, U.
27
1997
Harmonic two-spheres in compact symmetric spaces, revisited. Zbl 0897.58012
Burstall, F. E.; Guest, M. A.
27
1997
Dressing orbits of harmonic maps. Zbl 0966.58007
Burstall, F. E.; Pedit, F.
23
1995
Harmonic tori in spheres and complex projective spaces. Zbl 0835.53059
Burstall, F. E.
23
1995
Harmonic maps via Adler-Kostant-Symes theory. Zbl 0828.58021
Burstall, F. E.; Pedit, F.
46
1994
Harmonic tori in symmetric spaces and commuting Hamiltonian systems on loop algebras. Zbl 0796.53063
Burstall, F. E.; Ferus, D.; Pedit, F.; Pinkall, U.
53
1993
Twistor spaces for Riemannian symmetric spaces. Zbl 0788.53045
Burstall, Francis; Gutt, Simone; Rawnsley, John
9
1993
Hermitian structures on Hermitian symmetric spaces. Zbl 0795.32011
Burstall, F.; Muškarov, O.; Grantcharov, G.; Rawnsley, J.
4
1993
Harmonic maps and soliton theory. Zbl 0875.53006
Burstall, Francis E.
2
1992
Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces. Zbl 0699.53059
Burstall, Francic E.; Rawnsley, John H.
85
1990
Minimal surfaces in quaternionic symmetric spaces. Zbl 0726.53036
Burstall, F. E.
3
1990
Stability of harmonic maps of Kähler manifolds. Zbl 0678.53062
Burns, D.; Burstall, F.; de Bartolomeis, P.; Rawnsley, J.
21
1989
Tournaments, flags, and harmonic maps. Zbl 0597.58005
Burstall, F. E.; Salamon, S. M.
20
1987
Stable harmonic 2-spheres in symmetric spaces. Zbl 0617.58019
Burstall, F.; Rawnsley, J.; Salamon, S.
8
1987
Stability of classical solutions of two-dimensional Grassmannian models. Zbl 0627.58029
Burstall, F. E.; Rawnsley, J. H.
4
1987
The construction of harmonic maps into complex Grassmannians. Zbl 0588.58018
Burstall, F. E.; Wood, J. C.
52
1986
A twistor description of harmonic maps of a 2-sphere into a Grassmannian. Zbl 0575.58018
Burstall, F. E.
7
1986
Sphères harmoniques dans les groupes de Lie compacts et courbes holomorphes dans les espace homogènes. (Harmonic spheres in compact Lie groups and holomorphic curves in homogeneous spaces). Zbl 0594.58024
Burstall, Francis; Rawnsley, John
4
1986
Twistor fibrations of flag manifolds and harmonic maps of a 2-sphere into a Grassmannian. Zbl 0648.58011
Burstall, F. E.
2
1985
Harmonic maps of finite energy from noncompact manifolds. Zbl 0622.58008
Burstall, Francis E.
12
1984
all top 5

Cited by 347 Authors

23 Burstall, Francis Everett
17 Dorfmeister, Josef F.
17 Hertrich-Jeromin, Udo J.
15 Jiao, Xiaoxiang
14 Pedit, Franz J.
13 Pacheco, Rui
13 Wang, Peng
12 Leschke, Katrin
11 Rossman, Wayne
10 Pember, Mason
10 Wang, Changping
10 Wood, John C.
9 He, Ling
9 Moriya, Katsuhiro
8 Cho, Joseph
8 Grama, Lino
8 Kobayashi, Shimpei
8 Ma, Xiang
8 Pinkall, Ulrich
8 Xie, Zhenxiao
7 Ferreira, Maria João
7 Kilian, Martin
7 McIntosh, Ian
7 Negreiros, Caio J. C.
7 Szewieczek, Gudrun
6 Bobenko, Alexander Ivanovich
6 Eschenburg, Jost-Hinrich
6 Hasegawa, Kazuyuki
6 Heller, Sebastian Gregor
6 Salamon, Simon Montague
6 San Martin, Luiz Antonio Barrera
6 Tribuzy, Renato
5 Bohle, Christoph
5 Cieśliński, Jan L.
5 Correia, Nuno
5 Fei, Jie
5 Heller, Lynn
5 Hulett, Eduardo Guillermo
5 Inoguchi, Jun-ichi
5 Li, Mingyan
5 Ma, Hui
5 Musso, Emilio
5 Ogata, Yuta
5 Quast, Peter
5 Svensson, Martin
5 Terng, Chuu-Lian
5 Yasumoto, Masashi
4 Carberry, Emma
4 Dajczer, Marcos
4 Donaldson, Neil M.
4 Khemar, Idrisse
4 Li, Tongzhu
4 Nicolodi, Lorenzo
4 Rawnsley, John H.
4 Sergeev, Armen Glebovich
4 Simões, Bruno Ascenso
4 Suris, Yuri Borisovich
4 Udagawa, Seiichi
3 Aleman, Alexandru
3 Arvanitoyeorgos, Andreas
3 Brander, David
3 Kobak, Piotr Z.
3 Li, Hong
3 Loubeau, Eric
3 Marugame, Taiji
3 Ohnita, Yoshihiro
3 Pantilie, Radu
3 Pigola, Stefano
3 Quintino, Áurea Casinhas
3 Schäfer, Lars
3 Schmidt, Martin Ulrich
3 Schmitt, Nicholas
3 Slobodeanu, Radu
3 Tenenblat, Keti
3 Tojeiro, Ruy
3 Veronelli, Giona
3 Wang, Xiaozhen
3 Wu, Hongyou
2 Albuquerque, Rui P.
2 Alekseevskiĭ, Dmitriĭ Vladimirovich
2 Altavilla, Amedeo
2 Beltiţă, Daniel
2 Blaom, Anthony D.
2 Chrysikos, Ioannis
2 Collier, Brian
2 Do Prado, Rafaela F.
2 Ferus, Dirk
2 Fox, Daniel
2 Galé, José E.
2 Goertsches, Oliver
2 Guo, Zhen
2 Hauswirth, Laurent
2 Milousheva, Velichka
2 Miranda Martins, Ricardo
2 Mo, Xiaohuan
2 Ndiaye, Cheikh Birahim
2 Peters, Günter Paul
2 Polly, Denis
2 Roitman, Pedro
2 Romon, Pascal
...and 247 more Authors
all top 5

Cited in 109 Serials

38 Differential Geometry and its Applications
31 Journal of Geometry and Physics
27 Mathematische Zeitschrift
19 Annals of Global Analysis and Geometry
18 Manuscripta Mathematica
17 Geometriae Dedicata
13 Mathematische Annalen
13 Tôhoku Mathematical Journal. Second Series
12 Annali di Matematica Pura ed Applicata. Serie Quarta
11 The Journal of Geometric Analysis
10 International Journal of Mathematics
8 Communications in Mathematical Physics
8 Transactions of the American Mathematical Society
6 Results in Mathematics
6 Acta Mathematica Sinica. English Series
5 Beiträge zur Algebra und Geometrie
5 Advances in Mathematics
5 Proceedings of the American Mathematical Society
4 Journal of Mathematical Physics
4 Science in China. Series A
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Science China. Mathematics
4 Complex Manifolds
3 Israel Journal of Mathematics
3 Nonlinearity
3 Nuclear Physics. B
3 Physics Letters. A
3 Duke Mathematical Journal
3 Journal of Geometry
3 Journal of the London Mathematical Society. Second Series
3 Journal of the Mathematical Society of Japan
3 Monatshefte für Mathematik
3 Osaka Journal of Mathematics
3 Chinese Annals of Mathematics. Series B
3 Discrete & Computational Geometry
3 Calculus of Variations and Partial Differential Equations
3 Advances in Applied Clifford Algebras
2 Journal of Mathematical Analysis and Applications
2 Mathematical Notes
2 Theoretical and Mathematical Physics
2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Illinois Journal of Mathematics
2 Inventiones Mathematicae
2 Journal für die Reine und Angewandte Mathematik
2 Memoirs of the American Mathematical Society
2 Nagoya Mathematical Journal
2 Proceedings of the London Mathematical Society. Third Series
2 Revista Matemática Iberoamericana
2 Geometric and Functional Analysis. GAFA
2 Journal de Mathématiques Pures et Appliquées. Neuvième Série
2 Indagationes Mathematicae. New Series
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Mathematical Physics, Analysis and Geometry
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Bulletin of the Brazilian Mathematical Society. New Series
2 International Journal of Geometric Methods in Modern Physics
2 Frontiers of Mathematics in China
2 Bollettino dell’Unione Matematica Italiana
1 Houston Journal of Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Physics Reports
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 The Mathematical Intelligencer
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Compositio Mathematica
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Glasgow Mathematical Journal
1 Indiana University Mathematics Journal
1 Journal of Functional Analysis
1 Journal of Pure and Applied Algebra
1 Kodai Mathematical Journal
1 Mathematische Nachrichten
1 Mathematika
1 Michigan Mathematical Journal
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Rendiconti del Seminario Matematico della Università di Padova
1 Acta Applicandae Mathematicae
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
1 Bulletin of the American Mathematical Society. New Series
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Experimental Mathematics
1 Potential Analysis
1 Kyushu Journal of Mathematics
1 Bulletin des Sciences Mathématiques
1 Electronic Research Announcements of the American Mathematical Society
1 Geometry & Topology
1 Journal of Nonlinear Mathematical Physics
1 Advances in Geometry
1 Algebraic & Geometric Topology
1 Journal of Applied Mathematics
...and 9 more Serials

Citations by Year

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