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Adiabatic limits of Ricci-flat Kahler me...

Tosatti, Valentino...

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Adiabatic limits of Ricci-flat Kahler metrics by Tosatti, Valentino ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	28-05-2009
Summary	We study adiabatic limits of Ricci-flat Kahler metrics on a Calabi-Yau manifold which is the total space of a holomorphic fibration when the volume of the fibers goes to zero. By establishing some new a priori estimates for the relevant complex Monge-Ampere equation, we show that the Ricci-flat metrics collapse (away from the singular fibers) to a metric on the base of the fibration. This metric has Ricci curvature equal to a Weil-Petersson metric that measures the variation of complex structure of the Calabi-Yau fibers. This generalizes results of Gross-Wilson for K3 surfaces to higher dimensions.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	https://arxiv.org/abs/0905.4718

Citation

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AMA 11th EditionReferences

Tosatti, Valentino. Adiabatic limits of Ricci-flat Kahler metrics. N.A. May 28, 2009. Accessed September 19, 2024. https://online.provdatabase.com/cite/2354

APA 7th EditionReferences

Tosatti, Valentino. (2009). Adiabatic limits of Ricci-flat Kahler metrics. N.A. https://online.provdatabase.com/cite/2354

Chicago 17th EditionReferences

Tosatti, Valentino. Adiabatic limits of Ricci-flat Kahler metrics. N.A. 2009. https://online.provdatabase.com/cite/2354

HarvardReferences

Tosatti, Valentino. (2009). Adiabatic limits of Ricci-flat Kahler metrics. [Online]. N.A. Available from: https://online.provdatabase.com/cite/2354. (Accessed 19 September 2024).

Harvard AustraliaReferences

Tosatti, Valentino, 2009, Adiabatic limits of Ricci-flat Kahler metrics, N.A, viewed 19 September 2024, <https://online.provdatabase.com/cite/2354>

MLA 9th EditionWorks Cited

Tosatti, Valentino. Adiabatic limits of Ricci-flat Kahler metrics. N.A, 2009. PROV Database, https://online.provdatabase.com/cite/2354.

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