Apriori estimates for scalar curvature type equations on compact Kähler manifolds | Vidéo | Carmin.tv

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Apriori estimates for scalar curvature type equations on compact Kähler manifolds

By Jingrui Cheng

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

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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