The tension field of the Gauss map
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- by Ernst A. Ruh and Jaak Vilms PDF
- Trans. Amer. Math. Soc. 149 (1970), 569-573 Request permission
Abstract:
In this paper it is shown that the tension field of the Gauss map can be identified with the covariant derivative of the mean curvature vector field. Since a map with vanishing tension field is called harmonic the following theorem is obtained as a corollary. The Gauss map of a minimal submanifold is harmonic.References
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Additional Information
- © Copyright 1970 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 149 (1970), 569-573
- MSC: Primary 53.04
- DOI: https://doi.org/10.1090/S0002-9947-1970-0259768-5
- MathSciNet review: 0259768