The index of minimal immersions of \(S^ 2\) into \(S^{2n}\). (English) Zbl 0517.53056
MSC:
| 53C42 | Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) |
| 53C20 | Global Riemannian geometry, including pinching |
| 53C55 | Global differential geometry of Hermitian and Kählerian manifolds |
References:
| [1] | Barbosa, J.L.M.: On minimal immersions ofS 2 intoS 2m . Trans. Amer. Math. Soc.210, 75-106 (1975) · Zbl 0328.53042 |
| [2] | Calabi, E.: Minimal immersions of surfaces in Euclidean spheres. J. Differential Geom.1, 111-125 (1967) · Zbl 0171.20504 |
| [3] | Chern, S.S.: On the minimal immersions of the two sphere in a space of constant curvature. Problems in Analysis, pp. 27-40. Princeton: Van Nostrand 1970 · Zbl 0217.47601 |
| [4] | Serre, JP: Holomogie singulière des espaces fibrés. Ann. of Math.54, 425-505 (1951) · Zbl 0045.26003 · doi:10.2307/1969485 |
| [5] | Simons, J.: Minimal varieties in riemannian manifolds. Ann. of Math.88, 62-105 (1968) · Zbl 0181.49702 · doi:10.2307/1970556 |
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