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A class of non-polarizable symplectic manifolds

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Abstract

A class of compact 4-dimensional symplectic manifolds which admit no polarizations whatsoever is presented. These spaces also provide examples of nonparallelizable manifolds which are symplectic but have no complex, and hence no Kähler, structures.

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Authors and Affiliations

  1. Mathematics Department, United States Naval Academy, 21402, Annapolis, MD, USA

    Mark J. Gotay

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  1. Mark J. Gotay
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Gotay, M.J. A class of non-polarizable symplectic manifolds. Monatshefte für Mathematik 103, 27–30 (1987). https://doi.org/10.1007/BF01302708

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