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- W4288281014 abstract "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." @default.
- W4288281014 created "2022-07-28" @default.
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- W4288281014 date "2019-07-18" @default.
- W4288281014 modified "2023-09-28" @default.
- W4288281014 title "The Ricci pinching functional on solvmanifolds II" @default.
- W4288281014 doi "https://doi.org/10.48550/arxiv.1907.08014" @default.
- W4288281014 hasPublicationYear "2019" @default.
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