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Bounded and L2 harmonic forms on universal covers

✍ Scribed by K.D. Elworthy; X.-M. Li; S. Rosenberg


Publisher
Springer
Year
1998
Tongue
English
Weight
376 KB
Volume
8
Category
Article
ISSN
1016-443X

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Harmonic and holomorphic 1-forms on comp
✍ Georgi Ganchev; Stefan Ivanov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 97 KB

On compact balanced Hermitian manifolds we obtain obstructions to the existence of harmonic 1-forms, βˆ‚-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)