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Mean curvature decay in symplectic and lagrangian translating solitons

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Abstract

In this note, we prove that the infimum of the norm of the mean curvature vector on a symplectic translating soliton or an almost-calibrated Lagrangian translating soliton must be zero.

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Acknowledgments

The author was supported by NSF in China, No. 11001268, No. 11071236. He would like to thank CIRM (Trento) for its hospitality.

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  1. CIRM, Fondazione Bruno Kessler, Via Sommarive, 14, Povo, 38123,  Trento, TN, Italy

    Jun Sun

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  1. Jun Sun
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Correspondence to Jun Sun.

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Sun, J. Mean curvature decay in symplectic and lagrangian translating solitons. Geom Dedicata 172, 207–215 (2014). https://doi.org/10.1007/s10711-013-9916-4

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  • DOI: https://doi.org/10.1007/s10711-013-9916-4

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