دورية أكاديمية

Harmonic symmetries for Hermitian manifolds.

التفاصيل البيبلوغرافية
العنوان: Harmonic symmetries for Hermitian manifolds.
المؤلفون: Wilson, Scott O.
المصدر: Proceedings of the American Mathematical Society; Jul2020, Vol. 148 Issue 7, p3039-3045, 7p
مصطلحات موضوعية: COMPLEX manifolds, DIFFERENTIAL forms, MANIFOLDS (Mathematics), SYMMETRY, HERMITIAN forms
مستخلص: Complex manifolds with compatible metric have a naturally defined subspace of harmonic differential forms that satisfy Serre, Hodge, and conjugation duality, as well as hard Lefschetz duality. This last property follows from a representation of sl(2,C), generalizing the well-known structure on the harmonic forms of compact Kähler manifolds. Some topological implications are deduced. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:00029939
DOI:10.1090/proc/14997