Abstract
In this paper, we derive a mean curvature estimate for eternal solutions of uniformly almost calibrated Lagrangian mean curvature flow with non-negative Ricci curvature in the complex Euclidean space. As a consequence, we show a non-existence result for such eternal solutions.
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Acknowledgements
The author is supported by Grant-in-Aid for JSPS Fellows Number 16J01498. During the preparation of this paper the author has stayed at the Max Planck Institute for Mathematics in the Sciences, Leipzig. The author is grateful to Jürgen Jost for his hospitality and his interest. Reiko Miyaoka also gave the author helpful comments in private seminars. Finally, the author would like to thank the referees for their valuable comments which helped to improve the manuscript.
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Kunikawa, K. Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature. Geom Dedicata 201, 369–377 (2019). https://doi.org/10.1007/s10711-018-0397-3
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DOI: https://doi.org/10.1007/s10711-018-0397-3