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Power series proofs for local stabilitie...

Rao, Sheng...

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Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma by Rao, Sheng ( Author )

Content Provider	Lemonjar Open Access
Publisher	-
Publication Date	10-08-2023
Summary	By use of a natural map introduced recently by the first and third authors from the space of pure-type complex differential forms on a complex manifold to the corresponding one on the small differentiable deformation of this manifold, we will give a power series proof for Kodaira-Spencer's local stability theorem of K\"ahler structures. We also obtain two new local stability theorems, one of balanced structures on an $n$-dimensional balanced manifold with the $(n-1,n)$-th mild $\partial\bar\partial$-lemma by power series method and the other one on $p$-K\"ahler structures with the deformation invariance of $(p,p)$-Bott-Chern numbers.
ISBN	-
Item Type	Article
File Type	pdf
File Size	30.00 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1609.05637

Citation

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AMA 11th EditionReferences

Rao, Sheng. Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma. -. August 10, 2023. Accessed October 01, 2025. https://online.provdatabase.com/cite/14030

APA 7th EditionReferences

Rao, Sheng. (2023). Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma. . https://online.provdatabase.com/cite/14030

Chicago 17th EditionReferences

Rao, Sheng. Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma. . 2023. https://online.provdatabase.com/cite/14030

HarvardReferences

Rao, Sheng. (2023). Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma. [Online]. . Available from: https://online.provdatabase.com/cite/14030. (Accessed 01 October 2025).

Harvard AustraliaReferences

Rao, Sheng, 2023, Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma, , viewed 01 October 2025, <https://online.provdatabase.com/cite/14030>

MLA 9th EditionWorks Cited

Rao, Sheng. Power series proofs for local stabilities of K\"ahler and balanced structures with mild $\partial\bar\partial$-lemma. , 2023. PROV Database, https://online.provdatabase.com/cite/14030.

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