$$S^1$$-Invariant Laplacian Flow
نویسندگان
چکیده
The Laplacian flow is a geometric introduced by Bryant as way for finding torsion free $$G_2$$ -structures starting from closed one. If the invariant under $$S^1$$ action then it descends to of SU(3)-structures on 6-manifold. In this article we derive expressions these evolution equations. our search examples discover first inhomogeneous shrinking solitons, which are also gradient. We show that any compact non-torsion soliton admits no infinitesimal symmetry.
منابع مشابه
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ژورنال
عنوان ژورنال: Journal of Geometric Analysis
سال: 2021
ISSN: ['1559-002X', '1050-6926']
DOI: https://doi.org/10.1007/s12220-021-00784-0