A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds

We aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.

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Main Authors: S. Ilias, B. Nelli, M. Soret
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2022/7350345
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author S. Ilias
B. Nelli
M. Soret
author_facet S. Ilias
B. Nelli
M. Soret
author_sort S. Ilias
collection DOAJ
description We aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.
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publishDate 2022-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-cd277522c7d644acaf500ee4c446ca162025-08-20T02:19:53ZengWileyInternational Journal of Mathematics and Mathematical Sciences1687-04252022-01-01202210.1155/2022/7350345A Note on Constant Mean Curvature Foliations of Noncompact Riemannian ManifoldsS. Ilias0B. Nelli1M. Soret2Université de ToursUniversitá Dell’AquilaUniversité de ToursWe aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.http://dx.doi.org/10.1155/2022/7350345
spellingShingle S. Ilias
B. Nelli
M. Soret
A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
International Journal of Mathematics and Mathematical Sciences
title A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
title_full A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
title_fullStr A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
title_full_unstemmed A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
title_short A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
title_sort note on constant mean curvature foliations of noncompact riemannian manifolds
url http://dx.doi.org/10.1155/2022/7350345
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