Urakawa, Hajime Geometry of biharmonic mappings. Differential geometry of variational methods. (English) Zbl 1425.53001 Hackensack, NJ: World Scientific (ISBN 978-981-3236-39-4/hbk; 978-981-3236-41-7/ebook). x, 338 p. (2019). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53-02 53C43 53C55 53D12 PDFBibTeX XMLCite \textit{H. Urakawa}, Geometry of biharmonic mappings. Differential geometry of variational methods. Hackensack, NJ: World Scientific (2019; Zbl 1425.53001) Full Text: DOI
Şahin, Bayram A survey on differential geometry of Riemannian maps between Riemannian manifolds. (English) Zbl 1399.53092 An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 63, No. 1, 151-167 (2017). MSC: 53C40 53B20 53C43 PDFBibTeX XMLCite \textit{B. Şahin}, An. Științ. Univ. Al. I. Cuza Iași, Ser. Nouă, Mat. 63, No. 1, 151--167 (2017; Zbl 1399.53092)
Fetcu, Dorel; Loubeau, Eric; Oniciuc, Cezar Biharmonic tori in spheres. (English) Zbl 1378.53013 Differ. Geom. Appl. 54, Part A, 208-225 (2017). Reviewer: Erich Hoy (Friedberg) MSC: 53A10 53C42 11D09 PDFBibTeX XMLCite \textit{D. Fetcu} et al., Differ. Geom. Appl. 54, Part A, 208--225 (2017; Zbl 1378.53013) Full Text: DOI arXiv
Urakawa, Hajime Geometry of harmonic maps and biharmonic maps. (English) Zbl 1325.53003 Barletta, Elisabetta (ed.), Lecture notes of Seminario Interdisciplinare di Matematica. Vol. XI. Potenza: Seminario Interdisciplinare di Matematica (S.I.M.) (ISBN 978-88-97478-03-4/pbk). Lecture Notes of Seminario Interdisciplinare di Matematica 11, 41-83 (2014). MSC: 53-02 53C43 PDFBibTeX XMLCite \textit{H. Urakawa}, Lect. Notes Semin. Interdiscip. Mat. 11, 41--83 (2014; Zbl 1325.53003)
Chen, Bang-Yen Some open problems and conjectures on submanifolds of finite type: recent development. (English) Zbl 1287.53044 Tamkang J. Math. 45, No. 1, 87-108 (2014). MSC: 53C40 53-02 53C42 58J50 PDFBibTeX XMLCite \textit{B.-Y. Chen}, Tamkang J. Math. 45, No. 1, 87--108 (2014; Zbl 1287.53044) Full Text: DOI arXiv Link
Asserda, Saïd; Kassi, M’Hamed Biharmonic immersion in a Cartan-Hadamard manifold. (Immersions biharmoniques dans une variété de Cartan-Hadamard.) (French. English summary) Zbl 1278.53060 C. R., Math., Acad. Sci. Paris 351, No. 15-16, 627-630 (2013). MSC: 53C42 53C43 PDFBibTeX XMLCite \textit{S. Asserda} and \textit{M. Kassi}, C. R., Math., Acad. Sci. Paris 351, No. 15--16, 627--630 (2013; Zbl 1278.53060) Full Text: DOI arXiv
Wheeler, Glen Chen’s conjecture and {\(\varepsilon\)}-superbiharmonic submanifolds of Riemannian manifolds. (English) Zbl 1277.53059 Int. J. Math. 24, No. 4, Article ID 1350028, 6 p. (2013). Reviewer: Gabjin Yun (Yongin) MSC: 53C42 53A05 53A10 53C43 53C20 PDFBibTeX XMLCite \textit{G. Wheeler}, Int. J. Math. 24, No. 4, Article ID 1350028, 6 p. (2013; Zbl 1277.53059) Full Text: DOI arXiv
Chen, Bang-Yen; Munteanu, Marian Ioan Biharmonic ideal hypersurfaces in Euclidean spaces. (English) Zbl 1260.53017 Differ. Geom. Appl. 31, No. 1, 1-16 (2013). MSC: 53A07 53C40 53C42 PDFBibTeX XMLCite \textit{B.-Y. Chen} and \textit{M. I. Munteanu}, Differ. Geom. Appl. 31, No. 1, 1--16 (2013; Zbl 1260.53017) Full Text: DOI
Nakauchi, Nobumitsu; Urakawa, Hajime Biharmonic submanifolds in a Riemannian manifold with non-positive curvature. (English) Zbl 1261.58011 Result. Math. 63, No. 1-2, 467-474 (2013). MSC: 58E20 PDFBibTeX XMLCite \textit{N. Nakauchi} and \textit{H. Urakawa}, Result. Math. 63, No. 1--2, 467--474 (2013; Zbl 1261.58011) Full Text: DOI arXiv
Inoguchi, Jun-Ichi; Lee, Ji-Eun Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry. (English) Zbl 1274.53094 Arch. Math., Brno 48, No. 1, 15-26 (2012). MSC: 53C43 53C25 PDFBibTeX XMLCite \textit{J.-I. Inoguchi} and \textit{J.-E. Lee}, Arch. Math., Brno 48, No. 1, 15--26 (2012; Zbl 1274.53094) Full Text: DOI
Nakauchi, Nobumitsu; Urakawa, Hajime Biharmonic hypersurfaces in a Riemannian manifold with non-positive Ricci curvature. (English) Zbl 1222.58010 Ann. Global Anal. Geom. 40, No. 2, 125-131 (2011). MSC: 58E20 PDFBibTeX XMLCite \textit{N. Nakauchi} and \textit{H. Urakawa}, Ann. Global Anal. Geom. 40, No. 2, 125--131 (2011; Zbl 1222.58010) Full Text: DOI arXiv
Inoguchi, Jun-ichi Biminimal submanifolds in contact 3-manifolds. (English) Zbl 1142.53047 Balkan J. Geom. Appl. 12, No. 1, 56-67 (2007). Reviewer: Marian Hotloś (Wrocław) MSC: 53C42 53C25 PDFBibTeX XMLCite \textit{J.-i. Inoguchi}, Balkan J. Geom. Appl. 12, No. 1, 56--67 (2007; Zbl 1142.53047) Full Text: EuDML
Oniciuc, Cezar Tangency and harmonicity properties. (Tangenţă şi proprietăţi de armonicitate.) (Romanian) Zbl 1070.53037 DGDS. Differential Geometry - Dynamical Systems. Monographs 3. Bucharest: Geometry Balkan Press; Iasi: Univ. of Iasi (Dissertation). 91 p., electronic only, open access (2002). MSC: 53C43 58E20 PDFBibTeX XMLCite \textit{C. Oniciuc}, Tangenţă şi proprietăţi de armonicitate (Romanian). Bucharest: Geometry Balkan Press; Iasi: Univ. of Iasi (Dissertation) (2002; Zbl 1070.53037) Full Text: Link
Dimitrić, Ivko Submanifolds of \(E^ m\) with harmonic mean curvature vector. (English) Zbl 0778.53046 Bull. Inst. Math., Acad. Sin. 20, No. 1, 53-65 (1992). Reviewer: R.Tribuzy (Manaus) MSC: 53C42 PDFBibTeX XMLCite \textit{I. Dimitrić}, Bull. Inst. Math., Acad. Sin. 20, No. 1, 53--65 (1992; Zbl 0778.53046)
Bertolo, Nativi Viana Pereira Bi-harmonic functions in the context of Hardy spaces with weights. (Portuguese. English summary) Zbl 0718.42020 Rev. Mat. Estat. 7, 1-7 (1989). MSC: 42B30 31B30 PDFBibTeX XMLCite \textit{N. V. P. Bertolo}, Rev. Mat. Estat. 7, 1--7 (1989; Zbl 0718.42020)