Stability of harmonic maps and minimal immersions
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- by Y. L. Pan and Y. B. Shen PDF
- Proc. Amer. Math. Soc. 93 (1985), 111-117 Request permission
Abstract:
It was proved by J. Simons [10] that there does not exist any stable minimal submanifold in the Euclidean sphere ${S^n}$, and P. F. Leung proved that any stable harmonic map from any Riemannian manifold to ${S^n}$, where $n \geqslant 3$, is a constant. In this paper, we generalize their results and indicate that there are many manifolds having such properties as ${S^n}$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 111-117
- MSC: Primary 58E20; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766539-6
- MathSciNet review: 766539