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Biharmonic submanifolds of \(\mathbb S^3\). (English) Zbl 1111.53302

Summary: We explicitly classify the nonharmonic biharmonic submanifolds of the unit three-dimensional sphere \(\mathbb S^3\).

MSC:

53C43 Differential geometric aspects of harmonic maps
58E20 Harmonic maps, etc.
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References:

[1] Chen B. Y., Soochow J. Math. 17 pp 169– (1991)
[2] DOI: 10.2206/kyushujm.52.167 · Zbl 0892.53012 · doi:10.2206/kyushujm.52.167
[3] DOI: 10.2307/2373037 · Zbl 0122.40102 · doi:10.2307/2373037
[4] DOI: 10.1090/S0002-9939-97-03668-X · Zbl 0873.53040 · doi:10.1090/S0002-9939-97-03668-X
[5] Jiang G. Y., Chinese Ann. Math. Ser. 7 (2) pp 130– (1986)
[6] Jiang G. Y., Chinese Ann. Math. Ser. 7 (4) pp 389– (1986)
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