Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Ricci pinching functional on solvmanifolds II   It is natural to ask whether solvsolitons are global maxima for the Ricci
pinching functional F:=scal^2/|Ric|^2 on the set of all left-invariant metrics
on a given solvable Lie group S, as it is to ask whether they are the only
global maxima. A positive answer to both questions was given in a recent paper
by the same authors when the Lie algebra s of S is either unimodular or has a
codimension-one abelian ideal. In the present paper, we prove that this also
holds in the following two more general cases: 1) s has a nilradical of
codimension-one; 2) the nilradical n of s is abelian and the functional F is
restricted to the set of metrics such that a is orthogonal to n, where a is the
orthogonal complement of n with respect to the solvsoliton.

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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex