Conformal Metrics with Constant Q-Curvature

We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal ba...

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Опубліковано в: :Symmetry, Integrability and Geometry: Methods and Applications
Дата:2007
Автор: Malchiodi, A.
Формат: Стаття
Мова:Англійська
Опубліковано: Інститут математики НАН України 2007
Онлайн доступ:https://nasplib.isofts.kiev.ua/handle/123456789/147193
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати:Conformal Metrics with Constant Q-Curvature / A. Malchiodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 46 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Malchiodi, A.
author_facet Malchiodi, A.
citation_txt Conformal Metrics with Constant Q-Curvature / A. Malchiodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 46 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold.
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last_indexed 2025-12-07T15:26:02Z
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spelling Malchiodi, A.
2019-02-13T18:55:51Z
2019-02-13T18:55:51Z
2007
Conformal Metrics with Constant Q-Curvature / A. Malchiodi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 46 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 35B33; 35J35; 53A30; 53C21
https://nasplib.isofts.kiev.ua/handle/123456789/147193
We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the problem leads naturally to consider the set of formal barycenters of the manifold.
This paper is a contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson. The author has been supported by M.U.R.S.T within the PRIN 2006 Variational Methods and Nonlinear Differential Equations.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Conformal Metrics with Constant Q-Curvature
Article
published earlier
spellingShingle Conformal Metrics with Constant Q-Curvature
Malchiodi, A.
title Conformal Metrics with Constant Q-Curvature
title_full Conformal Metrics with Constant Q-Curvature
title_fullStr Conformal Metrics with Constant Q-Curvature
title_full_unstemmed Conformal Metrics with Constant Q-Curvature
title_short Conformal Metrics with Constant Q-Curvature
title_sort conformal metrics with constant q-curvature
url https://nasplib.isofts.kiev.ua/handle/123456789/147193
work_keys_str_mv AT malchiodia conformalmetricswithconstantqcurvature