Locally Conformal Kähler Geometry (Progress in Mathematics)


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Motivated by these results, we introduce the notions of a Lefschetz and of a basic Lefschetz locally conformal symplectic l. We prove that the two notions are equivalent if there exists a Riemannian metric such that the Lee vector field is unitary and parallel and its metric dual -form coincides with the Lee -form. Finally, we discuss several examples of compact l. References [Enhancements On Off] What's this? The third author acknowledges the Centre for Mathematics of the University of Coimbra in Portugal for its support and hospitality during a visit where a part of this work was done.

Blair , Riemannian geometry of contact and symplectic manifolds , 2nd ed.


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MR [3] Charles P. Methods Mod. Differential Geom. MR [7] D. Chinea , M. Marrero , Topology of cosymplectic manifolds , J. Pures Appl. Part A , Aspects of Mathematics, vol. Foliations on compact surfaces, fundamentals for arbitrary codimension, and holonomy.


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    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)
    Locally Conformal Kähler Geometry (Progress in Mathematics) Locally Conformal Kähler Geometry (Progress in Mathematics)

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