A REMARK ON THE BRYLINSKI CONJECTURE FOR ORBIFOLDS

Author:

BAK L.,CZARNECKI A.

Abstract

AbstractThe paper presents a proof of the Brylinski conjecture for compact Kähler orbifolds. The result is a corollary of the foliated version of the Mathieu theorem on symplectic harmonic representations of de Rham cohomology classes. The proofs are based on the idea of representing an orbifold as the leaf space of a Riemannian foliation and on the correspondence between foliated and holonomy invariant objects for foliated manifolds.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference23 articles.

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5. [10] Józefowicz M. and Wolak R. , ‘A few remarks on the geometry of the space of leaf closures of a Riemannian foliation’, Geometry and Topology of Manifolds, Banach Center Publications, 76 (Institute of Mathematics, Polish Academy of Sciences, Warszawa, 2007), pp. 395–409.

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