An Improved Energy-Area Inequality for Harmonic Maps Using Image Curvature
نویسنده
چکیده
An ODE variational calculation shows that an image principle curvature ratio factor, (√ ρ1 ρ2 + √ ρ2 ρ1 ) , can raise the lower bound, 2(Image Area), on energy of a harmonic map of a surface into R. In certain situations, including all radially symmetry harmonic maps, equality is achieved.
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تاریخ انتشار 2008