@article{cc8daea3cadf4c72853d3eba65eca15b,
title = "Non-existence of eternal solutions to Lagrangian mean curvature flow with non-negative Ricci curvature",
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.",
keywords = "Eternal solution, Mean curvature flow",
author = "Keita Kunikawa",
note = "Funding Information: 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 J{\"u}rgen 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. Funding Information: 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 J?rgen 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. Publisher Copyright: {\textcopyright} 2018, Springer Nature B.V.",
year = "2019",
month = aug,
day = "1",
doi = "10.1007/s10711-018-0397-3",
language = "English",
volume = "201",
pages = "369--377",
journal = "Geometriae Dedicata",
issn = "0046-5755",
publisher = "Springer Netherlands",
number = "1",
}