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A Frölicher-type inequality for generalized complex manifolds

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Abstract

We prove a Frölicher-type inequality for a compact generalized complex manifold \(M\), and show that the equality holds if and only if \(M\) satisfies the generalized \(\partial \bar{\partial }\)-Lemma. In particular, this gives a unified proof of analogous results in the complex and symplectic cases.

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Acknowledgments

The work of the first author described in this paper was substantially supported by grants from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CUHK404412 & CUHK400213).

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Authors and Affiliations

  1. Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China

    Kwokwai Chan & Yat-Hin Suen

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  1. Kwokwai Chan
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  2. Yat-Hin Suen
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Correspondence to Kwokwai Chan.

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Chan, K., Suen, YH. A Frölicher-type inequality for generalized complex manifolds. Ann Glob Anal Geom 47, 135–145 (2015). https://doi.org/10.1007/s10455-014-9439-8

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  • DOI: https://doi.org/10.1007/s10455-014-9439-8

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