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Author ID: pedit.franz-j Recent zbMATH articles by "Pedit, Franz J."
Published as: Pedit, Franz; Pedit, F.; Pedit, Franz J.; Pedit, F. J.

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 720 times in 406 Documents Cited by Year
Weierstrass type representation of harmonic maps into symmetric spaces. Zbl 0932.58018
Dorfmeister, J.; Pedit, F.; Wu, Hung-Hsi
97
1998
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
Minimal surfaces and the affine Toda field model. Zbl 0810.53048
Bolton, John; Pedit, Franz; Woodward, Lyndon
49
1995
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
Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori. Zbl 1038.53046
Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.
33
2001
Bonnet pairs and isothermic surfaces. Zbl 1003.53007
Kamberov, George; Pedit, Franz; Pinkall, Ulrich
28
1998
Curved flats and isothermic surfaces. Zbl 0902.53038
Burstall, F.; Hertrich-Jeromin, U.; Pedit, F.; Pinkall, U.
27
1997
Curved flats in symmetric spaces. Zbl 0870.53043
Ferus, D.; Pedit, F.
23
1996
Dressing orbits of harmonic maps. Zbl 0966.58007
Burstall, F. E.; Pedit, F.
23
1995
Minimal tori in \(S^ 4\). Zbl 0746.53045
Ferus, D.; Pedit, F.; Pinkall, U.; Sterling, I.
23
1992
Remarks on the Darboux transform of isothermic surfaces. Zbl 0892.53003
Hertrich-Jeromin, Udo; Pedit, Franz
23
1997
Quaternions, spinors, and surfaces. Zbl 1022.53001
Kamberov, George; Norman, Peter; Pedit, Franz; Pinkall, Ulrich
20
2002
Conformal maps from a 2-torus to the 4-sphere. Zbl 1261.53057
Bohle, Christoph; Leschke, Katrin; Pedit, Franz; Pinkall, Ulrich
18
2012
Quaternionic analysis on Riemann surfaces and differential geometry. Zbl 0910.53042
Pedit, Franz; Pinkall, Ulrich
17
1998
Discretizing constant curvature surfaces via loop group factorizations: The discrete sine- and sinh-Gordon equations. Zbl 0856.58020
Pedit, Franz; Wu, Hongyou
16
1995
S\({}^ 1\)-equivariant minimal tori in \(S^ 4\) and \(S^ 1\)-equivariant Willmore tori in \(S^ 3\). Zbl 0722.53056
Ferus, Dirk; Pedit, Franz
16
1990
Isothermic submanifolds of symmetric \(R\)-spaces. Zbl 1245.53049
Burstall, Francis E.; Donaldson, Neil M.; Pedit, Franz; Pinkall, Ulrich
14
2011
Isometric immersions of space forms and soliton theory. Zbl 0866.53046
Ferus, Dirk; Pedit, Franz
13
1996
Conformal geometry. Zbl 0665.53048
Pedit, F. J.; Willmore, T. J.
12
1988
Darboux transforms and spectral curves of constant mean curvature surfaces revisited. Zbl 1276.53066
Carberry, E.; Leschke, K.; Pedit, F.
7
2013
Willmore tori in the 4-sphere with nontrivial normal bundle. Zbl 1063.53058
Leschke, K.; Pedit, F.; Pinkall, U.
7
2005
The spectral curve of a quaternionic holomorphic line bundle over a 2-torus. Zbl 1183.58026
Bohle, Christoph; Pedit, Franz; Pinkall, Ulrich
7
2009
A non-immersion theorem for spaceforms. Zbl 0655.53049
Pedit, F. J.
7
1988
Towards a constrained Willmore conjecture. Zbl 1384.53007
Heller, Lynn; Pedit, Franz
6
2018
Global solutions of the Navier-Stokes equation with strong viscosity. Zbl 0766.58011
Carverhill, Andrew; Pedit, Franz J.
5
1992
Complex surfaces of constant mean curvature fibered by minimal surfaces. Zbl 1202.53012
Dorfmeister, Josef; Kobayashi, Shimpei; Pedit, Franz
4
2010
On the meromorphic potential for a harmonic surface in a \(k\)-symmetric space. Zbl 0903.58005
Dorfmeister, Josef; McIntosh, Ian; Pedit, Franz; Wu, Hongyou
4
1997
Möbius homogeneous Willmore 2-spheres. Zbl 1402.53003
Ma, Xiang; Pedit, Franz; Wang, Peng
4
2018
Periodic discrete conformal maps. Zbl 0986.37063
Hertrich-Jeromin, U.; McIntosh, I.; Norman, P.; Pedit, F.
3
2001
Bäcklund transforms of conformal maps into the 4-sphere. Zbl 1092.53048
Leschke, K.; Pedit, F.
3
2005
Constant mean curvature surfaces: an integrable systems perspective. Zbl 1223.53046
Gerding, A.; Pedit, F.; Schmitt, N.
2
2011
Sequences of Willmore surfaces. Zbl 1151.53056
Leschke, Katrin; Pedit, Franz
2
2008
Minimal surfaces via loop groups. Zbl 0932.53006
Dorfmeister, J.; Pedit, F.; Toda, M.
2
1997
Envelopes and osculates of Willmore surfaces. Zbl 1120.53032
Leschke, K.; Pedit, F.
1
2007
Discrete holomorphic geometry I. Darboux transformations and spectral curves. Zbl 1193.53015
Bohle, C.; Pedit, F.; Pinkall, U.
1
2009
Affine embeddings of flat compact manifolds. I. Zbl 0666.53030
Pedit, Franz J.
1
1987
Towards a constrained Willmore conjecture. Zbl 1384.53007
Heller, Lynn; Pedit, Franz
6
2018
Möbius homogeneous Willmore 2-spheres. Zbl 1402.53003
Ma, Xiang; Pedit, Franz; Wang, Peng
4
2018
Darboux transforms and spectral curves of constant mean curvature surfaces revisited. Zbl 1276.53066
Carberry, E.; Leschke, K.; Pedit, F.
7
2013
Conformal maps from a 2-torus to the 4-sphere. Zbl 1261.53057
Bohle, Christoph; Leschke, Katrin; Pedit, Franz; Pinkall, Ulrich
18
2012
Isothermic submanifolds of symmetric \(R\)-spaces. Zbl 1245.53049
Burstall, Francis E.; Donaldson, Neil M.; Pedit, Franz; Pinkall, Ulrich
14
2011
Constant mean curvature surfaces: an integrable systems perspective. Zbl 1223.53046
Gerding, A.; Pedit, F.; Schmitt, N.
2
2011
Complex surfaces of constant mean curvature fibered by minimal surfaces. Zbl 1202.53012
Dorfmeister, Josef; Kobayashi, Shimpei; Pedit, Franz
4
2010
The spectral curve of a quaternionic holomorphic line bundle over a 2-torus. Zbl 1183.58026
Bohle, Christoph; Pedit, Franz; Pinkall, Ulrich
7
2009
Discrete holomorphic geometry I. Darboux transformations and spectral curves. Zbl 1193.53015
Bohle, C.; Pedit, F.; Pinkall, U.
1
2009
Sequences of Willmore surfaces. Zbl 1151.53056
Leschke, Katrin; Pedit, Franz
2
2008
Envelopes and osculates of Willmore surfaces. Zbl 1120.53032
Leschke, K.; Pedit, F.
1
2007
Willmore tori in the 4-sphere with nontrivial normal bundle. Zbl 1063.53058
Leschke, K.; Pedit, F.; Pinkall, U.
7
2005
Bäcklund transforms of conformal maps into the 4-sphere. Zbl 1092.53048
Leschke, K.; Pedit, F.
3
2005
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
Quaternions, spinors, and surfaces. Zbl 1022.53001
Kamberov, George; Norman, Peter; Pedit, Franz; Pinkall, Ulrich
20
2002
Quaternionic holomorphic geometry: Plücker formula, Dirac eigenvalue estimates and energy estimates of harmonic \(2\)-tori. Zbl 1038.53046
Ferus, D.; Leschke, K.; Pedit, F.; Pinkall, U.
33
2001
Periodic discrete conformal maps. Zbl 0986.37063
Hertrich-Jeromin, U.; McIntosh, I.; Norman, P.; Pedit, F.
3
2001
Weierstrass type representation of harmonic maps into symmetric spaces. Zbl 0932.58018
Dorfmeister, J.; Pedit, F.; Wu, Hung-Hsi
97
1998
Bonnet pairs and isothermic surfaces. Zbl 1003.53007
Kamberov, George; Pedit, Franz; Pinkall, Ulrich
28
1998
Quaternionic analysis on Riemann surfaces and differential geometry. Zbl 0910.53042
Pedit, Franz; Pinkall, Ulrich
17
1998
Curved flats and isothermic surfaces. Zbl 0902.53038
Burstall, F.; Hertrich-Jeromin, U.; Pedit, F.; Pinkall, U.
27
1997
Remarks on the Darboux transform of isothermic surfaces. Zbl 0892.53003
Hertrich-Jeromin, Udo; Pedit, Franz
23
1997
On the meromorphic potential for a harmonic surface in a \(k\)-symmetric space. Zbl 0903.58005
Dorfmeister, Josef; McIntosh, Ian; Pedit, Franz; Wu, Hongyou
4
1997
Minimal surfaces via loop groups. Zbl 0932.53006
Dorfmeister, J.; Pedit, F.; Toda, M.
2
1997
Curved flats in symmetric spaces. Zbl 0870.53043
Ferus, D.; Pedit, F.
23
1996
Isometric immersions of space forms and soliton theory. Zbl 0866.53046
Ferus, Dirk; Pedit, Franz
13
1996
Minimal surfaces and the affine Toda field model. Zbl 0810.53048
Bolton, John; Pedit, Franz; Woodward, Lyndon
49
1995
Dressing orbits of harmonic maps. Zbl 0966.58007
Burstall, F. E.; Pedit, F.
23
1995
Discretizing constant curvature surfaces via loop group factorizations: The discrete sine- and sinh-Gordon equations. Zbl 0856.58020
Pedit, Franz; Wu, Hongyou
16
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
Minimal tori in \(S^ 4\). Zbl 0746.53045
Ferus, D.; Pedit, F.; Pinkall, U.; Sterling, I.
23
1992
Global solutions of the Navier-Stokes equation with strong viscosity. Zbl 0766.58011
Carverhill, Andrew; Pedit, Franz J.
5
1992
S\({}^ 1\)-equivariant minimal tori in \(S^ 4\) and \(S^ 1\)-equivariant Willmore tori in \(S^ 3\). Zbl 0722.53056
Ferus, Dirk; Pedit, Franz
16
1990
Conformal geometry. Zbl 0665.53048
Pedit, F. J.; Willmore, T. J.
12
1988
A non-immersion theorem for spaceforms. Zbl 0655.53049
Pedit, F. J.
7
1988
Affine embeddings of flat compact manifolds. I. Zbl 0666.53030
Pedit, Franz J.
1
1987
all top 5

Cited by 361 Authors

23 Dorfmeister, Josef F.
16 Pedit, Franz J.
15 Kobayashi, Shimpei
13 Wang, Peng
12 Burstall, Francis Everett
12 Leschke, Katrin
11 Moriya, Katsuhiro
11 Pacheco, Rui
10 Heller, Sebastian Gregor
10 Hertrich-Jeromin, Udo J.
10 Ma, Xiang
10 Pinkall, Ulrich
9 Heller, Lynn
9 Kilian, Martin
9 Wang, Changping
8 Bobenko, Alexander Ivanovich
8 Brander, David
8 Ma, Hui
8 Rossman, Wayne
7 Li, Tongzhu
7 Schmitt, Nicholas
7 Vrancken, Luc
7 Wood, John C.
7 Wu, Hongyou
6 Bohle, Christoph
6 Cho, Joseph
6 Dajczer, Marcos
6 Inoguchi, Jun-ichi
6 Pember, Mason
6 Vlachos, Theodoros
5 Cieśliński, Jan L.
5 Guo, Zhen
5 Hulett, Eduardo Guillermo
5 Khani, Farzad
5 McIntosh, Ian
5 Musso, Emilio
5 Traizet, Martin
5 Xie, Zhenxiao
4 Ali, Istkhar
4 Carberry, Emma
4 Dioos, Bart
4 Donaldson, Neil M.
4 Khemar, Idrisse
4 Nicolodi, Lorenzo
4 Ogata, Yuta
4 Schmidt, Martin Ulrich
4 Suris, Yuri Borisovich
4 Svensson, Martin
4 Terng, Chuu-Lian
3 Bolton, John
3 Butscher, Adrian
3 Correia, Nuno
3 Darvishi, Mohammad Taghi
3 Grunau, Hans-Christoph
3 Hamedi-Nezhad, Somayeh
3 Jiao, Xiaoxiang
3 Li, Haizhong
3 Ndiaye, Cheikh Birahim
3 Quintino, Áurea Casinhas
3 Rehman, Abdur
3 Suyama, Yoshihiko
3 Taĭmanov, Iskander Asanovich
3 Toda, Magdalena
3 Tojeiro, Ruy
3 Van der Veken, Joeri
3 Wang, Erxiao
3 Xia, Qiaoling
2 Aleman, Alexandru
2 Ali, Ilyas
2 Baraglia, David
2 Barros, Manuel
2 Chen, Jianhua
2 Dall’Acqua, Anna
2 de Lira, Jorge Herbert Soares
2 Dillen, Franki
2 Dindoš, Martin
2 Doliwa, Adam
2 El Soufi, Ahmad
2 Ferreira, Maria João
2 Ferus, Dirk
2 Fox, Daniel
2 Fröhlich, Steffen
2 Garay, Oscar Jesus
2 Goertsches, Oliver
2 Goulart, Claudiano
2 Grinevich, Pëtr Georgievich
2 Guest, Martin A.
2 Guo, Zhenwei
2 Hasegawa, Kazuyuki
2 Hauswirth, Laurent
2 He, Huixia
2 He, Ji-Huan
2 Hinojosa, Jorge A.
2 Ho, Nan-Kuo
2 Hoffmann, Tim
2 Jentsch, Tillmann
2 Ji, Xiu
2 Jiang, Tongsong
2 Kamberov, George I.
2 Kyrchei, Ivan I.
...and 261 more Authors
all top 5

Cited in 112 Serials

34 Journal of Geometry and Physics
25 Differential Geometry and its Applications
23 Annals of Global Analysis and Geometry
21 Manuscripta Mathematica
16 Geometriae Dedicata
16 Mathematische Zeitschrift
13 Tôhoku Mathematical Journal. Second Series
12 The Journal of Geometric Analysis
10 Acta Mathematica Sinica. English Series
9 Mathematische Annalen
9 Results in Mathematics
8 Transactions of the American Mathematical Society
6 Physics Letters. A
6 Calculus of Variations and Partial Differential Equations
5 Communications in Mathematical Physics
5 Advances in Mathematics
5 Journal für die Reine und Angewandte Mathematik
5 Proceedings of the American Mathematical Society
5 Advances in Applied Clifford Algebras
4 Israel Journal of Mathematics
4 Journal of Mathematical Physics
4 Beiträge zur Algebra und Geometrie
4 Duke Mathematical Journal
4 Nagoya Mathematical Journal
4 International Journal of Mathematics
3 Computers & Mathematics with Applications
3 Nonlinearity
3 Chaos, Solitons and Fractals
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Applied Mathematics and Computation
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 Publications de l’Institut Mathématique. Nouvelle Série
3 Chinese Annals of Mathematics. Series B
3 Science in China. Series A
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Experimental Mathematics
3 Journal of Mathematical Sciences (New York)
3 Mathematical Physics, Analysis and Geometry
3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
3 Journal of Physics A: Mathematical and Theoretical
3 Science China. Mathematics
3 Complex Manifolds
2 Nuclear Physics. B
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Illinois Journal of Mathematics
2 Journal of Geometry
2 Proceedings of the London Mathematical Society. Third Series
2 Filomat
2 Selecta Mathematica. New Series
2 Mathematical Problems in Engineering
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Mediterranean Journal of Mathematics
1 Archive for Rational Mechanics and Analysis
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Mathematical Analysis and Applications
1 Linear and Multilinear Algebra
1 Mathematical Methods in the Applied Sciences
1 Mathematical Notes
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 The Mathematical Intelligencer
1 Acta Mathematica
1 Archiv der Mathematik
1 Commentarii Mathematici Helvetici
1 Demonstratio Mathematica
1 Functional Analysis and its Applications
1 Indiana University Mathematics Journal
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Journal of Functional Analysis
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Pacific Journal of Mathematics
1 Tokyo Journal of Mathematics
1 Bulletin of the Korean Mathematical Society
1 Acta Applicandae Mathematicae
1 Physica D
1 Discrete & Computational Geometry
1 Revista Matemática Iberoamericana
1 Linear Algebra and its Applications
1 Acta Mathematica Sinica. New Series
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Potential Analysis
1 SIAM Journal on Scientific Computing
1 Kyushu Journal of Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 Doklady Mathematics
1 Abstract and Applied Analysis
1 Annals of Mathematics. Second Series
1 Analysis (München)
1 The ANZIAM Journal
1 Advances in Geometry
1 Nonlinear Analysis. Real World Applications
1 Journal of Applied Mathematics
...and 12 more Serials

Citations by Year