Curvature flows for almost-hermitian Lie groups
Fil: Lauret, Jorge Rubén. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
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| Format: | submittedVersion |
| Language: | eng |
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2022
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| Online Access: | http://hdl.handle.net/11086/29975 https://doi.org/10.48550/arXiv.1306.5931 |
| _version_ | 1801216569570754560 |
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| author | Lauret, Jorge Rubén |
| author_facet | Lauret, Jorge Rubén |
| author_sort | Lauret, Jorge Rubén |
| collection | Repositorio Digital Universitario |
| description | Fil: Lauret, Jorge Rubén. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. |
| format | submittedVersion |
| id | rdu-unc.29975 |
| institution | Universidad Nacional de Cordoba |
| language | eng |
| publishDate | 2022 |
| record_format | dspace |
| spelling | rdu-unc.299752022-12-22T12:28:50Z Curvature flows for almost-hermitian Lie groups Lauret, Jorge Rubén Curvature Flow Almost-Hermitian Lie groups submittedVersion Fil: Lauret, Jorge Rubén. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Lauret, Jorge Rubén. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Lauret, Jorge Rubén. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. We study curvature flows in the locally homogeneous case (e.g. compact quotients of Lie groups, solvmanifolds, nilmanifolds) in a unified way, by considering a generic flow under just a few natural conditions on the broad class of almost-hermitian structures. As a main tool, we use an ODE system defined on the variety of 2n-dimensional Lie algebras, called the bracket flow, whose solutions differ from those to the original curvature flow by only pull-back by time-dependent diffeomorphisms. The approach, which has already been used to study the Ricci flow on homogeneous manifolds, is useful to better visualize the possible pointed limits of solutions, under diverse rescalings, as well as to address regularity issues. Immortal, ancient and self-similar solutions arise naturally from the qualitative analysis of the bracket flow. The Chern-Ricci flow and the symplectic curvature flow are considered in more detail. submittedVersion Fil: Lauret, Jorge Rubén. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Fil: Lauret, Jorge Rubén. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina. Fil: Lauret, Jorge Rubén. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro de Investigación y Estudios de Matemática; Argentina. Matemática Pura 2022-12-14T12:32:38Z 2022-12-14T12:32:38Z 2015 article http://hdl.handle.net/11086/29975 https://doi.org/10.48550/arXiv.1306.5931 eng De la versión publicada: https://doi.org/10.1090/S0002-9947-2014-06476-3 Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/ Impreso; Electrónico y/o Digital e-ISSN 1088-6850 ISSN 0002-9947 |
| spellingShingle | Curvature Flow Almost-Hermitian Lie groups Lauret, Jorge Rubén Curvature flows for almost-hermitian Lie groups |
| title | Curvature flows for almost-hermitian Lie groups |
| title_full | Curvature flows for almost-hermitian Lie groups |
| title_fullStr | Curvature flows for almost-hermitian Lie groups |
| title_full_unstemmed | Curvature flows for almost-hermitian Lie groups |
| title_short | Curvature flows for almost-hermitian Lie groups |
| title_sort | curvature flows for almost hermitian lie groups |
| topic | Curvature Flow Almost-Hermitian Lie groups |
| url | http://hdl.handle.net/11086/29975 https://doi.org/10.48550/arXiv.1306.5931 |
| work_keys_str_mv | AT lauretjorgeruben curvatureflowsforalmosthermitianliegroups |