Lagrangian self-similar solutions in gradient shrinking K\"ahler-Ricci solitons
Differential Geometry
2016-06-15 v2
Abstract
In this paper, we give a lower bound estimate for the diameter of a Lagrangian self-shrinker in a gradient shrinking K\"ahler-Ricci soliton as an analog of a result of A. Futaki, H. Li and X.-D. Li for a self-shrinker in a Euclidean space. We also prove an analog of a result of H.-D. Cao and H. Li about the non-existence of compact self-expanders in a Euclidean space.
Keywords
Cite
@article{arxiv.1505.05222,
title = {Lagrangian self-similar solutions in gradient shrinking K\"ahler-Ricci solitons},
author = {Hikaru Yamamoto},
journal= {arXiv preprint arXiv:1505.05222},
year = {2016}
}
Comments
7 pages