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arXiv · 1501.05513

Three-dimensional solvsolitons and the minimality of the corresponding submanifolds

Takahiro Hashinaga·Hiroshi Tamaru
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Abstract

In this paper, we define the corresponding submanifolds to left-invariant Riemannian metrics on Lie groups, and study the following question: does a distinguished left-invariant Riemannian metric on a Lie group correspond to a distinguished submanifold? As a result, we prove that the solvsolitons on three-dimensional simply-connected solvable Lie groups are completely characterized by the minimality of the corresponding submanifolds.

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Takahiro Hashinaga, Hiroshi Tamaru. 2015-01-22. Three-dimensional solvsolitons and the minimality of the corresponding submanifolds. https://arxiv.org/abs/1501.05513

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