# zbMATH — the first resource for mathematics

## Ou, Ye-Lin

Compute Distance To:
 Author ID: ou.ye-lin Published as: Ou, Ye-Lin; Ou, Y.-L. External Links: MGP
 Documents Indexed: 44 Publications since 1996, including 1 Book Reviewing Activity: 58 Reviews
all top 5

#### Co-Authors

 18 single-authored 7 Wang, Zeping 3 Yang, Hanchun 2 Baird, Paul 2 Loubeau, Eric 2 Mete, Mutlu 2 Sirakov, Nikolay Metodiev 2 Wilhelm, Frederick H. jun. 1 Akyol, Mehmet Akif 1 Chen, Bang-Yen 1 Dong, Yuxin 1 Ghandour, Elsa 1 Liang, Tang 1 Lu, Sheng 1 Luo, Yong 1 Maeta, Shun 1 Tang, Liang 1 Troutman, Tiffany 1 Walschap, Gerard 1 Wei, Shihshu Walter
all top 5

#### Serials

 8 Journal of Geometry and Physics 3 Journal of Mathematical Analysis and Applications 3 Beiträge zur Algebra und Geometrie 3 Pacific Journal of Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Results in Mathematics 2 Mediterranean Journal of Mathematics 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Chinese Annals of Mathematics. Series B 1 Annals of Global Analysis and Geometry 1 International Journal of Mathematics 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 1 Annals of Mathematics and Artificial Intelligence 1 Balkan Journal of Geometry and its Applications (BJGA)
all top 5

#### Fields

 39 Global analysis, analysis on manifolds (58-XX) 37 Differential geometry (53-XX) 2 Computer science (68-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Partial differential equations (35-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

37 Publications have been cited 347 times in 152 Documents Cited by Year
Biharmonic hypersurfaces in Riemannian manifolds. Zbl 1205.53066
Ou, Ye-Lin
2010
On the generalized Chen’s conjecture on biharmonic submanifolds. Zbl 1268.58015
Ou, Ye-Lin; Tang, Liang
2012
$$p$$-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps. Zbl 1083.58015
Ou, Ye-Lin
2006
Biharmonic maps and morphisms from conformal mappings. Zbl 1202.53061
Loubeau, Eric; Ou, Ye-Lin
2010
On conformal biharmonic immersions. Zbl 1178.53054
Ou, Ye-Lin
2009
Biharmonic Riemannian submersions from 3-manifolds. Zbl 1235.53065
Wang, Ze-Ping; Ou, Ye-Lin
2011
Some constructions of biharmonic maps and Chen’s conjecture on biharmonic hypersurfaces. Zbl 1239.58010
Ou, Ye-Lin
2012
Some recent progress of biharmonic submanifolds. Zbl 1372.58011
Ou, Ye-Lin
2016
Linear biharmonic maps into Sol, Nil and Heisenberg spaces. Zbl 1183.58013
Ou, Ye-Lin; Wang, Ze-Ping
2008
Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries. Zbl 1227.58004
Ou, Ye-Lin; Wang, Ze-Ping
2011
On $$f$$-biharmonic maps and $$f$$-biharmonic submanifolds. Zbl 1314.58009
Ou, Ye-Lin
2014
Biharmonic hypersurfaces in a conformally flat space. Zbl 1275.58013
Liang, Tang; Ou, Ye-Lin
2013
The characterization of biharmonic morphisms. Zbl 1035.58015
Loubeau, E.; Ou, Y.-L.
2001
$$p$$-harmonic morphisms, minimal foliations, and rigidity of metrics. Zbl 1077.58008
Ou, Ye-Lin
2004
Quadratic harmonic morphisms and $$O$$-systems. Zbl 0918.58020
Ou, Ye-Lin
1997
Biharmonic submanifolds and biharmonic maps in Riemannian geometry. Zbl 1455.53002
Ou, Ye-Lin; Chen, Bang-Yen
2020
Biharmonic morphisms between Riemannian manifolds. Zbl 0997.53044
Ou, Ye-Lin
2000
Biharmonic maps from a 2-sphere. Zbl 1284.58007
Wang, Ze-Ping; Ou, Ye-Lin; Yang, Han-Chun
2014
Biharmonic submanifolds of pseudo-Riemannian manifolds. Zbl 1356.58004
Dong, Yuxin; Ou, Ye-Lin
2017
Infinity-harmonic maps and morphisms. Zbl 1241.58005
Ou, Ye-Lin; Troutman, Tiffany; Wilhelm, Frederick
2012
$$f$$-biharmonic maps and $$f$$-biharmonic submanifolds. II. Zbl 1380.58012
Ou, Ye-Lin
2017
Horizontally homothetic submersions and nonnegative curvature. Zbl 1120.53019
Ou, Ye-Lin; Wilhelm, Frederick
2007
Biharmonic conformal immersions into three-dimensional manifolds. Zbl 1320.58007
Ou, Ye-Lin
2015
A classification and some constructions of $$p$$-harmonic morphisms. Zbl 1073.58016
Ou, Ye-Lin; Wei, Shihshu Walter
2004
$$p$$-harmonic functions and the minimal graph equation in a Riemannian manifold. Zbl 1089.58010
Ou, Ye-Lin
2005
Biharmonic maps in two dimensions. Zbl 1266.58004
Ou, Ye-Lin; Lu, Sheng
2013
Classifications of some special infinity-harmonic maps. Zbl 1194.58013
Wang, Ze-Ping; Ou, Ye-Lin
2009
Biharmonic and $$f$$-biharmonic maps from a 2-sphere. Zbl 1337.58009
Wang, Ze-Ping; Ou, Ye-Lin; Yang, Han-Chun
2016
Complete lifts of harmonic maps and morphisms between Euclidean spaces. Zbl 0859.53037
Ou, Ye-Lin
1996
Harmonic maps and morphisms from multilinear norm-preserving mappings. Zbl 0885.58013
Baird, Paul; Ou, Ye-Lin
1997
Biharmonic Riemannian submersions. Zbl 1411.58006
Akyol, Mehmet Akif; Ou, Ye-Lin
2019
A classification of horizontally homothetic submersions from space forms of nonnegative curvature. Zbl 1105.53026
Ou, Ye-Lin; Walschap, Gerard
2006
Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps. Zbl 1391.53074
Ghandour, Elsa; Ou, Ye-Lin
2018
Biharmonic conformal maps in dimension four and equations of Yamabe-type. Zbl 1425.58008
Baird, Paul; Ou, Ye-Lin
2018
Some classifications of biharmonic hypersurfaces with constant scalar curvature. Zbl 1447.58019
Maeta, Shun; Ou, Ye-Lin
2020
Skin lesion feature vector space with a metric to model geometric structures of malignancy for classification. Zbl 1377.68285
Mete, Mutlu; Ou, Ye-Lin; Sirakov, Nikolay Metodiev
2012
Biharmonic maps from tori into a 2-sphere. Zbl 1402.58015
Wang, Zeping; Ou, Ye-Lin; Yang, Hanchun
2018
Biharmonic submanifolds and biharmonic maps in Riemannian geometry. Zbl 1455.53002
Ou, Ye-Lin; Chen, Bang-Yen
2020
Some classifications of biharmonic hypersurfaces with constant scalar curvature. Zbl 1447.58019
Maeta, Shun; Ou, Ye-Lin
2020
Biharmonic Riemannian submersions. Zbl 1411.58006
Akyol, Mehmet Akif; Ou, Ye-Lin
2019
Generalized harmonic morphisms and horizontally weakly conformal biharmonic maps. Zbl 1391.53074
Ghandour, Elsa; Ou, Ye-Lin
2018
Biharmonic conformal maps in dimension four and equations of Yamabe-type. Zbl 1425.58008
Baird, Paul; Ou, Ye-Lin
2018
Biharmonic maps from tori into a 2-sphere. Zbl 1402.58015
Wang, Zeping; Ou, Ye-Lin; Yang, Hanchun
2018
Biharmonic submanifolds of pseudo-Riemannian manifolds. Zbl 1356.58004
Dong, Yuxin; Ou, Ye-Lin
2017
$$f$$-biharmonic maps and $$f$$-biharmonic submanifolds. II. Zbl 1380.58012
Ou, Ye-Lin
2017
Some recent progress of biharmonic submanifolds. Zbl 1372.58011
Ou, Ye-Lin
2016
Biharmonic and $$f$$-biharmonic maps from a 2-sphere. Zbl 1337.58009
Wang, Ze-Ping; Ou, Ye-Lin; Yang, Han-Chun
2016
Biharmonic conformal immersions into three-dimensional manifolds. Zbl 1320.58007
Ou, Ye-Lin
2015
On $$f$$-biharmonic maps and $$f$$-biharmonic submanifolds. Zbl 1314.58009
Ou, Ye-Lin
2014
Biharmonic maps from a 2-sphere. Zbl 1284.58007
Wang, Ze-Ping; Ou, Ye-Lin; Yang, Han-Chun
2014
Biharmonic hypersurfaces in a conformally flat space. Zbl 1275.58013
Liang, Tang; Ou, Ye-Lin
2013
Biharmonic maps in two dimensions. Zbl 1266.58004
Ou, Ye-Lin; Lu, Sheng
2013
On the generalized Chen’s conjecture on biharmonic submanifolds. Zbl 1268.58015
Ou, Ye-Lin; Tang, Liang
2012
Some constructions of biharmonic maps and Chen’s conjecture on biharmonic hypersurfaces. Zbl 1239.58010
Ou, Ye-Lin
2012
Infinity-harmonic maps and morphisms. Zbl 1241.58005
Ou, Ye-Lin; Troutman, Tiffany; Wilhelm, Frederick
2012
Skin lesion feature vector space with a metric to model geometric structures of malignancy for classification. Zbl 1377.68285
Mete, Mutlu; Ou, Ye-Lin; Sirakov, Nikolay Metodiev
2012
Biharmonic Riemannian submersions from 3-manifolds. Zbl 1235.53065
Wang, Ze-Ping; Ou, Ye-Lin
2011
Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries. Zbl 1227.58004
Ou, Ye-Lin; Wang, Ze-Ping
2011
Biharmonic hypersurfaces in Riemannian manifolds. Zbl 1205.53066
Ou, Ye-Lin
2010
Biharmonic maps and morphisms from conformal mappings. Zbl 1202.53061
Loubeau, Eric; Ou, Ye-Lin
2010
On conformal biharmonic immersions. Zbl 1178.53054
Ou, Ye-Lin
2009
Classifications of some special infinity-harmonic maps. Zbl 1194.58013
Wang, Ze-Ping; Ou, Ye-Lin
2009
Linear biharmonic maps into Sol, Nil and Heisenberg spaces. Zbl 1183.58013
Ou, Ye-Lin; Wang, Ze-Ping
2008
Horizontally homothetic submersions and nonnegative curvature. Zbl 1120.53019
Ou, Ye-Lin; Wilhelm, Frederick
2007
$$p$$-harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps. Zbl 1083.58015
Ou, Ye-Lin
2006
A classification of horizontally homothetic submersions from space forms of nonnegative curvature. Zbl 1105.53026
Ou, Ye-Lin; Walschap, Gerard
2006
$$p$$-harmonic functions and the minimal graph equation in a Riemannian manifold. Zbl 1089.58010
Ou, Ye-Lin
2005
$$p$$-harmonic morphisms, minimal foliations, and rigidity of metrics. Zbl 1077.58008
Ou, Ye-Lin
2004
A classification and some constructions of $$p$$-harmonic morphisms. Zbl 1073.58016
Ou, Ye-Lin; Wei, Shihshu Walter
2004
The characterization of biharmonic morphisms. Zbl 1035.58015
Loubeau, E.; Ou, Y.-L.
2001
Biharmonic morphisms between Riemannian manifolds. Zbl 0997.53044
Ou, Ye-Lin
2000
Quadratic harmonic morphisms and $$O$$-systems. Zbl 0918.58020
Ou, Ye-Lin
1997
Harmonic maps and morphisms from multilinear norm-preserving mappings. Zbl 0885.58013
Baird, Paul; Ou, Ye-Lin
1997
Complete lifts of harmonic maps and morphisms between Euclidean spaces. Zbl 0859.53037
Ou, Ye-Lin
1996
all top 5

#### Cited by 110 Authors

 17 Oniciuc, Cezar 14 Korpinar, Talat 14 Ou, Ye-Lin 13 Montaldo, Stefano 13 Urakawa, Hajime 11 Turhan, Essin 9 Maeta, Shun 8 Fetcu, Dorel 8 Fu, Yu 6 Loubeau, Eric 6 Luo, Yong 6 Ratto, Andrea 5 Nakauchi, Nobumitsu 5 Ouakkas, Seddik 5 Wang, Zeping 4 Balmus, Adina 4 Baş, Selçuk 4 Du, Li 4 Nistor, Simona 3 Gudmundsson, Sigmundur 3 Güvenç, Şaban 3 Katzourakis, Nikolaos I. 3 Ozgur, Cihan 3 Yang, Hanchun 3 Zhang, Juan 2 Aminian, Mehran 2 Asil, Vedat 2 Baird, Paul 2 Djebbouri, Djelloul 2 Fardoun, Ali 2 Hong, Minchun 2 Liu, Jiancheng 2 Lu, Weijun 2 Ohno, Shinji 2 Pinheiro, Ana Lucia 2 Roth, Julien 2 Sakai, Takashi 2 Slobodeanu, Radu 2 Upadhyay, Abhitosh 2 Wilhelm, Frederick H. jun. 1 Åhag, Per 1 Akyol, Mehmet Akif 1 Bejan, Cornelia-Livia 1 Bennouar, Abdelmadjid 1 Benyounes, Michèle 1 Branding, Volker 1 Călin, Constantin 1 Calviño-Louzao, Esteban 1 Chang, Shu-Cheng 1 Chen, Bang-Yen 1 Chen, Jui-Tang 1 Cherif, Ahmed Mohammed 1 Cooper, Matthew K. 1 Crâşmăreanu, Mircea 1 Czyż, Rafał 1 De Lima, Ronaldo Freire 1 Di Scala, Antonio Jose 1 Djaa, Mustapha 1 Dong, Yuxin 1 Dragomir, Sorin 1 Druţă-Romaniuc, Simona-Luiza 1 Ergut, Mahmut 1 García-Río, Eduardo 1 Ghandour, Elsa 1 Guan, Zhida 1 Gupta, Ram Shankar 1 Gürler, Fatma 1 Han, Deliang 1 Han, Yingbo 1 Hed, Lisa 1 Karaca, Fatma 1 Kashani, Seyed Mohammad Bagher 1 Keles, Sadık 1 Kılıç, Erol 1 Li, Haizhong 1 Li, Lan 1 Liang, Tang 1 Lu, Sheng 1 Makki, Ali 1 Markellos, Michael 1 Miura, Tomoya 1 Onnis, Irene Ignazia 1 Ou, Yelin 1 Pámpano, Álvaro 1 Passamani, Apoena Passos 1 Pérez-Barral, Olga 1 Perktas, Selcen Yuksel 1 Piu, Paola 1 Pro, Curtis 1 Roitman, Pedro 1 Rosenberg, Harold 1 Ruiz-Hernández, Gabriel 1 Sá Earp, Ricardo 1 Saliba, Lara 1 Sheffield, Scott 1 Sixto-Neira, M. 1 Smart, Charles K. 1 Soret, Marc 1 Sperança, Llohann D. 1 Tang, Liang ...and 10 more Authors
all top 5

#### Cited in 60 Serials

 19 Journal of Geometry and Physics 13 Boletim da Sociedade Paranaense de Matemática. Terceira Série 8 Annali di Matematica Pura ed Applicata. Serie Quarta 8 Proceedings of the American Mathematical Society 6 Results in Mathematics 6 Differential Geometry and its Applications 6 The Journal of Geometric Analysis 5 Journal of Mathematical Analysis and Applications 4 Annals of Global Analysis and Geometry 3 Advances in Mathematics 3 Geometriae Dedicata 3 Tohoku Mathematical Journal. Second Series 3 Note di Matematica 3 International Electronic Journal of Geometry 2 Israel Journal of Mathematics 2 Annales de l’Institut Fourier 2 Journal of Geometry 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 2 Chinese Annals of Mathematics. Series B 2 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. Serie Nouă. Matematică 2 Calculus of Variations and Partial Differential Equations 2 Turkish Journal of Mathematics 2 Arab Journal of Mathematical Sciences 2 Mediterranean Journal of Mathematics 1 Communications on Pure and Applied Mathematics 1 Arkiv för Matematik 1 Beiträge zur Algebra und Geometrie 1 Acta Mathematica Vietnamica 1 Archiv der Mathematik 1 Collectanea Mathematica 1 Commentationes Mathematicae Universitatis Carolinae 1 Czechoslovak Mathematical Journal 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics 1 Topology and its Applications 1 Bulletin of the Iranian Mathematical Society 1 Science in China. Series A 1 International Journal of Mathematics 1 Communications in Partial Differential Equations 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Communications of the Korean Mathematical Society 1 Journal of Nonlinear Mathematical Physics 1 Advances in Geometry 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Complex Variables and Elliptic Equations 1 Science China. Mathematics 1 Kyoto Journal of Mathematics 1 Afrika Matematika 1 Mathematics
all top 5

#### Cited in 10 Fields

 131 Differential geometry (53-XX) 87 Global analysis, analysis on manifolds (58-XX) 15 Potential theory (31-XX) 7 Partial differential equations (35-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 1 Functions of a complex variable (30-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX)