Details

Ernesto C. Mistretta^[a]

Holomorphic symmetric differentials and parallelizable compact complex manifolds

Pages: 187-197
Received: 27 May 2019
Accepted in revised form: 9 July 2019
Mathematics Subject Classification (2010): 51M99, 14K10.
Keywords: Positivity of vector bundles, complex and Kaehler manifolds, complex tori, parallelizable manifolds.
Authors address:
[a]: Università di Padova, Dipartimento di Matematica, Via Trieste 63, 35121 Padova, Italy

Abstract: We provide a characterization of complex tori using holomorphic symmetric differentials. With the same method we show that compact complex manifolds of Kodaira dimension \( \ 0 \ \) having some symmetric power of the cotangent bundle globally generated are quotients of parallelizable manifolds, therefore have an infinite fundamental group.

References

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