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Hauptverfasser: Bochenski, Maciej, Jastrzebski, Piotr, Tralle, Aleksy
Format: Preprint
Veröffentlicht: 2022
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Online-Zugang:https://arxiv.org/abs/2207.00318
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author Bochenski, Maciej
Jastrzebski, Piotr
Tralle, Aleksy
author_facet Bochenski, Maciej
Jastrzebski, Piotr
Tralle, Aleksy
contents We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting such connections. In dimension 4 we fully classify solvable Lie groups and compact solvmanifolds which admit invariant SNP connections.
format Preprint
id arxiv_https___arxiv_org_abs_2207_00318
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Stretched non-positive Weyl connections on solvable Lie groups
Bochenski, Maciej
Jastrzebski, Piotr
Tralle, Aleksy
Differential Geometry
53C30
We determine the structure of solvable Lie groups endowed with invariant stretched non-positive Weyl connections and find classes of solvable Lie groups admitting and not admitting such connections. In dimension 4 we fully classify solvable Lie groups and compact solvmanifolds which admit invariant SNP connections.
title Stretched non-positive Weyl connections on solvable Lie groups
topic Differential Geometry
53C30
url https://arxiv.org/abs/2207.00318