Journal of the Korean Society for Industrial and Applied Mathematics
- Volume 6 Issue 1
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- Pages.59-65
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- 2002
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- 1226-9433(pISSN)
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- 1229-0645(eISSN)
A NOTE ON ENERGY MINIMIZING MAP ON MANIFOLD WITH ISOLATED PEAKS
Abstract
In this paper, we consider some homogeneous maps from a cone over 2-spheres and determines whether they become energy minimizing maps or not. In fact, any homogeneous map from a standard cone over 2-sphere of radius smaller than 1 can not be a minimizing harmonic map.