Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe Kählérienne

Collection Singular metrics in complex Kähler geometry / Métriques singulières en géométrie complexe Kählérienne

Organizer(s) Demailly, Jean-Pierre ; Di Nezza, Eleonora ; Guenancia, Henri ; Keller, Julien

Date(s) 04/02/2019 - 08/02/2019

linked URL https://conferences.cirm-math.fr/2100.html

00:00:00 / 00:00:00

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Apriori estimates for scalar curvature type equations on compact Kähler manifolds

By Jingrui Cheng

We develop apriori estimates for scalar curvature type equations on compact Kähler manifolds. As an application, we show that K-energy being proper with respect to $L^1$ geodesic distance implies the existence of constant scalar curvature Kähler metrics. This is joint work with Xiuxiong Chen.

Information about the video

Date of recording 04/02/2019
Date of publication 14/02/2019
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19491203
Cite this video Cheng, Jingrui (04/02/2019). Apriori estimates for scalar curvature type equations on compact Kähler manifolds. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19491203
URL https://dx.doi.org/10.24350/CIRM.V.19491203

Domain(s)

Bibliography

Chen, X., & Cheng, J. (2018). On the constant scalar curvature Kähler metrics, general automorphism group. <arXiv:1801.05907> - https://arxiv.org/abs/1801.05907
Chen, X., & Cheng, J. (2018). On the constant scalar curvature Kähler metrics, existence results. <arXiv:1801.00656> - https://arxiv.org/abs/1801.00656
Chen, X., & Cheng, J. (2017). On the constant scalar curvature Kähler metrics, apriori estimates. <arXiv:1712.06697> - https://arxiv.org/abs/1712.06697

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