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math.DG2007★ 1 cited
Comparison between Second Variation of Area and Second Variation of Energy of a Minimal Surface
Norio Ejiri, Mario Micallef
The conformal parameterisation of a minimal surface is harmonic. Therefore, a minimal surface is a critical point of both the energy functional and the area functional. In this pap…
math.DG2005★ 1 cited
Area minimizers in a K3 surface and holomorphicity
Mario Micallef, Jon Wolfson
A well known consequence of the Wirtinger inequality is that in a Kaehler surface a holomorphic curve is an area minimizer in its homology class. In light of this result it is natu…