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Point leaf maximal singular Riemannian foliations in positive curvature.

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Title: Point leaf maximal singular Riemannian foliations in positive curvature.
Authors: Moreno, Adam1 (AUTHOR) amoreno3@nd.edu
Source: Differential Geometry & its Applications. Oct2019, Vol. 66, p181-195. 15p.
Subjects: Foliations (Mathematics), Symmetric spaces, Curvature, Manifolds (Mathematics), Leaves
Abstract: We generalize the notion of fixed point homogeneous isometric group actions to the context of singular Riemannian foliations. We find that in some cases, positively curved manifolds admitting these so-called point leaf maximal SRF's are diffeo/homeomorphic to compact rank one symmetric spaces. In all cases, manifolds admitting such foliations are cohomology CROSSes or finite quotients of them. Among non-simply connected manifolds, we find examples of such foliations which are non-homogeneous. [ABSTRACT FROM AUTHOR]
Copyright of Differential Geometry & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 137644539
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  Data: Point leaf maximal singular Riemannian foliations in positive curvature.
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  Data: <searchLink fieldCode="AR" term="%22Moreno%2C+Adam%22">Moreno, Adam</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> amoreno3@nd.edu</i>
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  Data: <searchLink fieldCode="JN" term="%22Differential+Geometry+%26+its+Applications%22">Differential Geometry & its Applications</searchLink>. Oct2019, Vol. 66, p181-195. 15p.
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  Data: <searchLink fieldCode="DE" term="%22Foliations+%28Mathematics%29%22">Foliations (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Symmetric+spaces%22">Symmetric spaces</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Manifolds+%28Mathematics%29%22">Manifolds (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Leaves%22">Leaves</searchLink>
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  Data: We generalize the notion of fixed point homogeneous isometric group actions to the context of singular Riemannian foliations. We find that in some cases, positively curved manifolds admitting these so-called point leaf maximal SRF's are diffeo/homeomorphic to compact rank one symmetric spaces. In all cases, manifolds admitting such foliations are cohomology CROSSes or finite quotients of them. Among non-simply connected manifolds, we find examples of such foliations which are non-homogeneous. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Differential Geometry & its Applications is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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      – Type: doi
        Value: 10.1016/j.difgeo.2019.06.001
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      – Code: eng
        Text: English
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        PageCount: 15
        StartPage: 181
    Subjects:
      – SubjectFull: Foliations (Mathematics)
        Type: general
      – SubjectFull: Symmetric spaces
        Type: general
      – SubjectFull: Curvature
        Type: general
      – SubjectFull: Manifolds (Mathematics)
        Type: general
      – SubjectFull: Leaves
        Type: general
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      – TitleFull: Point leaf maximal singular Riemannian foliations in positive curvature.
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            NameFull: Moreno, Adam
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            – D: 01
              M: 10
              Text: Oct2019
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              Y: 2019
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              Value: 66
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            – TitleFull: Differential Geometry & its Applications
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