Lee form and special warped-like product manifolds with locally conformally parallel Spin(7) structure View Full Text


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Article Info

DATE

2013-02

AUTHORS

Selman Uğuz

ABSTRACT

We study the cases of the Lee form on special warped-like product manifolds M with locally conformally parallel Spin(7) structure to determine the nature of the fibers. Using fiber-base decomposition, we prove that the connection on M is determined by the Bonan form and Lee one-form. Assuming that the fibers are complete, connected and simply connected, and choosing some classes of Lee form on M, we prove a main result that the fibers (or at least one of them) are isometric to S3 with constant curvature k > 0 in the class of (3 + 3 + 2) warped-like product metrics admitting a specific locally conformally parallel Spin(7) structure. We believe that the paper could help in producing new examples of (locally conformally) parallel Spin(7) structures. More... »

PAGES

123-141

References to SciGraph publications

  • 2000-08. Riemannian, Symplectic and Weak Holonomy in ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
  • 1996-11. Betti numbers of 3-Sasakian manifolds in GEOMETRIAE DEDICATA
  • 1986-12. A classification of Riemannian manifolds with structure group Spin (7) in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 1968-04. Riemannian spaces with exceptional holonomy groups in FUNCTIONAL ANALYSIS AND ITS APPLICATIONS
  • 1982-12. Riemannian manifolds with structure groupG2 in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • Journal

    TITLE

    Annals of Global Analysis and Geometry

    ISSUE

    2

    VOLUME

    43

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10455-012-9337-x

    DOI

    http://dx.doi.org/10.1007/s10455-012-9337-x

    DIMENSIONS

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