Kähler metrics with constant weighted scalar curvature and weighted K‐stability

By Abdellah Lahdili. Proceedings of the London Mathematical Society, 2018

55 citations recorded by the source corpus.

We introduce a notion of a Kähler metric with constant weighted scalar curvature on a compact Kähler manifold X , depending on a fixed real torus T in the reduced group of automorphisms of X , and two smooth (weight) functions v>0 and w , defined on the momentum image (with respect to a given Kähler class α on X ) of X in the dual Lie algebra of T .

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/12033d8a508529ccf0494e55b714095ff6008ec7

How researchers see this paper

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In Applied Mathematics

1. Jiyuan Han
2. Chi Li
3. H. Blum
4. Yuchen Liu
5. Ziquan Zhuang
6. Mattias Jonsson
7. Xiaowei Wang
8. Chenyang Xu

In Geometry and Topology

1. Jiyuan Han
2. Chi Li
3. H. Blum
4. Yuchen Liu
5. Ziquan Zhuang
6. Mattias Jonsson
7. Xiaowei Wang
8. Chenyang Xu

Citations in the corpus

• On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations (2020, methodology): “However because the notations in [53] differ from ours significantly and that we are also dealing with the twisted case, we will keep our proof for the reader’s convenience.”