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## Sterling, Ivan

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 Author ID: sterling.ivan Published as: Sterling, I.; Sterling, Ivan
 Documents Indexed: 26 Publications since 1984 Reviewing Activity: 167 Reviews
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#### Co-Authors

 4 single-authored 5 Pinkall, Ulrich 4 Dorfmeister, Josef F. 4 Hsiang, Wu-Yi 2 Hsiang, Wu-Teh 2 Melko, M. 2 Sterling, Thomas Lawrence 1 Carroll, Daniel R. 1 Ferus, Dirk 1 Hankins, Eleanor 1 Ivey, Thomas A. 1 Karcher, Hermann 1 Kazaras, Demetre 1 Kilian, Martin 1 Köse, Emek 1 Lerner, David E. 1 Pedit, Franz J. 1 Schmitt, Nicholas 1 Wente, Henry C.
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#### Serials

 2 The Mathematical Intelligencer 2 Inventiones Mathematicae 2 Pacific Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Results in Mathematics 1 Tokyo Journal of Mathematics 1 Annals of Global Analysis and Geometry 1 Discrete & Computational Geometry 1 Differential Geometry and its Applications 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Annals of Mathematics. Second Series 1 Advances in Geometry
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#### Fields

 24 Differential geometry (53-XX) 6 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX)

#### Citations contained in zbMATH Open

19 Publications have been cited 208 times in 167 Documents Cited by Year
On the classification of constant mean curvature tori. Zbl 0683.53053
Pinkall, U.; Sterling, I.
1989
Minimal tori in $$S^ 4$$. Zbl 0746.53045
Ferus, D.; Pedit, F.; Pinkall, U.; Sterling, I.
1992
Application of soliton theory to the construction of pseudospherical surfaces in $$\mathbb{R}^ 3$$. Zbl 0810.53003
Melko, M.; Sterling, I.
1993
New minimal surfaces in S 3. Zbl 0653.53004
Karcher, H.; Pinkall, U.; Sterling, I.
1988
Existence and classification of constant mean curvature multibubbletons of finite and infinite type. Zbl 0803.53009
Sterling, I.; Wente, H. C.
1993
Willmore surfaces. Zbl 0616.53049
Pinkall, U.; Sterling, I.
1987
Dressing CMC $$n$$-noids. Zbl 1065.53010
Kilian, M.; Schmitt, N.; Sterling, I.
2004
Integrable systems, harmonic maps and the classical theory of surfaces. Zbl 0814.58014
Melko, M.; Sterling, I.
1994
Minimal cones and the spherical Bernstein problem. III. Zbl 0615.53054
Hsiang, Wu-Yi; Sterling, Ivan
1986
On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. Zbl 0578.53042
Hsiang, Wuteh; Hsiang, Wuyi; Sterling, Ivan
1985
A generalization of a theorem of Delaunay to rotational W-hypersurfaces of $$\sigma _{\ell}$$-type in $$H^{n+1}$$ and $$S^{n+1}$$. Zbl 0579.53041
Sterling, Ivan
1987
Symmetric pseudospherical surfaces. I: General theory. Zbl 1187.53007
Dorfmeister, Josef F.; Ivey, Thomas; Sterling, Ivan
2009
Finite type Lorentz harmonic maps and the method of Symes. Zbl 1027.58012
Dorfmeister, Josef; Sterling, Ivan
2002
On the construction of nonequatorial minimal hyperspheres in $$S^ n(1)$$ with stable cones in $$R^{n+1}$$. Zbl 0566.53051
Hsiang, Wu-yi; Sterling, Ivan
1984
A survey of the differential geometry of discrete curves. Zbl 1325.53004
Carroll, Daniel; Hankins, Eleanor; Kose, Emek; Sterling, Ivan
2014
Pseudospherical surfaces of low differentiability. Zbl 1346.53011
Dorfmeister, Josef F.; Sterling, Ivan
2016
An explicit formula for spherical curves with constant torsion. Zbl 1264.53003
Kazaras, Demetre; Sterling, Ivan
2012
Holomorphic potentials, symplectic integrators and CMC surfaces. Zbl 0872.53007
Lerner, David; Sterling, Ivan
1996
Computational aspects of soap bubble deformations. Zbl 0799.53007
Pinkall, U.; Sterling, I.
1993
Pseudospherical surfaces of low differentiability. Zbl 1346.53011
Dorfmeister, Josef F.; Sterling, Ivan
2016
A survey of the differential geometry of discrete curves. Zbl 1325.53004
Carroll, Daniel; Hankins, Eleanor; Kose, Emek; Sterling, Ivan
2014
An explicit formula for spherical curves with constant torsion. Zbl 1264.53003
Kazaras, Demetre; Sterling, Ivan
2012
Symmetric pseudospherical surfaces. I: General theory. Zbl 1187.53007
Dorfmeister, Josef F.; Ivey, Thomas; Sterling, Ivan
2009
Dressing CMC $$n$$-noids. Zbl 1065.53010
Kilian, M.; Schmitt, N.; Sterling, I.
2004
Finite type Lorentz harmonic maps and the method of Symes. Zbl 1027.58012
Dorfmeister, Josef; Sterling, Ivan
2002
Holomorphic potentials, symplectic integrators and CMC surfaces. Zbl 0872.53007
Lerner, David; Sterling, Ivan
1996
Integrable systems, harmonic maps and the classical theory of surfaces. Zbl 0814.58014
Melko, M.; Sterling, I.
1994
Application of soliton theory to the construction of pseudospherical surfaces in $$\mathbb{R}^ 3$$. Zbl 0810.53003
Melko, M.; Sterling, I.
1993
Existence and classification of constant mean curvature multibubbletons of finite and infinite type. Zbl 0803.53009
Sterling, I.; Wente, H. C.
1993
Computational aspects of soap bubble deformations. Zbl 0799.53007
Pinkall, U.; Sterling, I.
1993
Minimal tori in $$S^ 4$$. Zbl 0746.53045
Ferus, D.; Pedit, F.; Pinkall, U.; Sterling, I.
1992
On the classification of constant mean curvature tori. Zbl 0683.53053
Pinkall, U.; Sterling, I.
1989
New minimal surfaces in S 3. Zbl 0653.53004
Karcher, H.; Pinkall, U.; Sterling, I.
1988
Willmore surfaces. Zbl 0616.53049
Pinkall, U.; Sterling, I.
1987
A generalization of a theorem of Delaunay to rotational W-hypersurfaces of $$\sigma _{\ell}$$-type in $$H^{n+1}$$ and $$S^{n+1}$$. Zbl 0579.53041
Sterling, Ivan
1987
Minimal cones and the spherical Bernstein problem. III. Zbl 0615.53054
Hsiang, Wu-Yi; Sterling, Ivan
1986
On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. Zbl 0578.53042
Hsiang, Wuteh; Hsiang, Wuyi; Sterling, Ivan
1985
On the construction of nonequatorial minimal hyperspheres in $$S^ n(1)$$ with stable cones in $$R^{n+1}$$. Zbl 0566.53051
Hsiang, Wu-yi; Sterling, Ivan
1984
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#### Cited by 197 Authors

 10 Pedit, Franz J. 7 Hsiang, Wu-Yi 7 Kilian, Martin 7 Pinkall, Ulrich 6 Carberry, Emma 6 Kobayashi, Shimpei 6 Leschke, Katrin 6 Schmitt, Nicholas 5 Schmidt, Martin Ulrich 5 Sterling, Ivan 4 Bohle, Christoph 4 Brander, David 4 Dorfmeister, Josef F. 4 Heller, Sebastian Gregor 4 Hsiang, Wu-Teh 4 Tenenblat, Keti 4 Wu, Hongyou 3 Brendle, Simon 3 Ferus, Dirk 3 Perdomo, Oscar Mario 2 Abresch, Uwe 2 Bobenko, Alexander Ivanovich 2 DeSimone, Antonio 2 Fokas, Athanassios S. 2 Große-Brauckmann, Karsten 2 Grundland, Alfred Michel 2 Gürses, Metin 2 Hauswirth, Laurent 2 Heller, Lynn 2 Hornung, Peter 2 Inoguchi, Jun-ichi 2 Jost, Jürgen 2 Ma, Hui 2 McIntosh, Ian 2 Moriya, Katsuhiro 2 Peters, Günter Paul 2 Polthier, Konrad 2 Rossman, Wayne 2 Tomter, Per 2 Turner, Katharine 2 Wang, Changping 2 Wang, Qiaoling 1 Arroja Neves, André 1 Arroyo, Josu J. 1 Babich, Mikhail Vasil’evich 1 Barozzi, Elisabetta 1 Bates, Larry M. 1 Bernstein, Holly 1 Bernstein, Jacob 1 Bolton, John 1 Bracken, Paul Francis 1 Chaves Brasil Junior, Aldir 1 Burstall, Francis Everett 1 Butscher, Adrian 1 Cairns, Grant 1 Castillon, Philippe 1 Castro, Ildefonso 1 de Almeida Cavalcante, Marcos Petrúcio 1 Ceyhan, Özgür 1 Chen, Jianhua 1 Chen, Qing 1 Cheng, Yi 1 Chi, Quo-Shin 1 Cho, Joseph 1 Cho, Simon 1 Choe, Jaigyoung 1 Cicconofri, Giancarlo 1 Cieśliński, Jan L. 1 Clelland, Jeanne Nielsen 1 de Lira, Jorge Herbert Soares 1 de Oliveira, Darlan Ferreira 1 Deng, Yanjuan 1 Dondl, Patrick Werner 1 Dong, Yuxing 1 Dragomir, Sorin 1 Dubrovin, Boris Anatol’evich 1 Fernandez, Luis 1 Fox, Daniel 1 Garay, Oscar Jesus 1 Gel’fand, Israil’ Moiseevich 1 Ghomi, Mohammad 1 Givoli, Dan 1 Goertsches, Oliver 1 Gorodski, Claudio 1 Grove, Karsten 1 Haak, Guido 1 Hanna, James A. 1 Haskins, Mark 1 Hinojosa, Jorge A. 1 Hinterding, Robert 1 Hoffmann, Tim 1 Hulett, Eduardo Guillermo 1 Ivey, Thomas A. 1 Ji, Qingchun 1 Johnson, David Lewis 1 Kalaj, David 1 Kapouleas, Nikolaos 1 Karcher, Hermann 1 Kenmotsu, Katsuei 1 Khemar, Idrisse ...and 97 more Authors
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#### Cited in 72 Serials

 14 Journal of Geometry and Physics 10 Annals of Global Analysis and Geometry 10 Differential Geometry and its Applications 9 Mathematische Zeitschrift 6 Manuscripta Mathematica 6 Proceedings of the American Mathematical Society 5 Geometriae Dedicata 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Transactions of the American Mathematical Society 5 Experimental Mathematics 4 Duke Mathematical Journal 3 Journal of Mathematical Analysis and Applications 3 Journal of Mathematical Physics 3 Illinois Journal of Mathematics 3 Tohoku Mathematical Journal. Second Series 3 Calculus of Variations and Partial Differential Equations 2 Communications in Mathematical Physics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Journal für die Reine und Angewandte Mathematik 2 Discrete & Computational Geometry 2 Science in China. Series A 2 The Journal of Geometric Analysis 2 Bulletin of the American Mathematical Society. New Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Archive for Rational Mechanics and Analysis 1 Computers and Fluids 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Reviews in Mathematical Physics 1 The Mathematical Intelligencer 1 Advances in Mathematics 1 Anais da Academia Brasileira de Ciências 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Functional Analysis and its Applications 1 Journal of Functional Analysis 1 Journal of Geometry 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Proceedings of the London Mathematical Society. Third Series 1 Results in Mathematics 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 International Journal of Mathematics 1 Acta Mathematica Sinica. New Series 1 Journal of Knot Theory and its Ramifications 1 Journal of Nonlinear Science 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 International Journal of Modern Physics D 1 Selecta Mathematica. New Series 1 Mathematical Physics, Analysis and Geometry 1 Geometry & Topology 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Acta Mathematica Sinica. English Series 1 Advances in Geometry 1 Oberwolfach Reports 1 Journal of Fixed Point Theory and Applications 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Complex Manifolds
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#### Cited in 28 Fields

 149 Differential geometry (53-XX) 31 Global analysis, analysis on manifolds (58-XX) 29 Dynamical systems and ergodic theory (37-XX) 16 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 8 Manifolds and cell complexes (57-XX) 7 Algebraic geometry (14-XX) 7 Convex and discrete geometry (52-XX) 7 Mechanics of deformable solids (74-XX) 4 Topological groups, Lie groups (22-XX) 3 Functions of a complex variable (30-XX) 3 Fluid mechanics (76-XX) 3 Biology and other natural sciences (92-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Numerical analysis (65-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)