Closed holomorphic 1-forms without zeros on Stein manifolds

Harmonic and holomorphic 1-forms on comp

Harmonic and holomorphic 1-forms on compact balanced Hermitian manifolds

✍ Georgi Ganchev; Stefan Ivanov 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 97 KB

On compact balanced Hermitian manifolds we obtain obstructions to the existence of harmonic 1-forms, ∂-harmonic (1, 0)-forms and holomorphic (1, 0)-forms in terms of the Ricci tensors with respect to the Riemannian curvature and the Hermitian curvature. Necessary and sufficient conditions the (1, 0)