On Einstein, Hermitian 4-Manifolds

By C. LeBrun. 2010

51 citations recorded by the source corpus.

Let (M,h) be a compact 4-dimensional Einstein manifold, and suppose that h is Hermitian with respect to some complex structure J on M. Then either (M,J,h) is Kaehler-Einstein, or else, up to rescaling and isometry, it is one of the following two exceptions: the Page metric on CP2 # (-CP2), or the Einstein metric on CP2 # 2 (-CP2) constructed in Chen-LeBrun-Weber.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/5c2a5d2a54f7ef736a9ef7555486c9c81abfe7cd

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In Applied Mathematics

1. Xiaokui Yang
2. Kefeng Liu
3. Valentino Tosatti
4. Fang Zheng
5. B. Weinkove
6. Lei Ni

In Astronomy and Astrophysics

1. Xiaokui Yang
2. Kefeng Liu
3. Valentino Tosatti
4. B. Weinkove
5. Fang Zheng

In Geometry and Topology

1. Xiaokui Yang
2. Kefeng Liu
3. Valentino Tosatti
4. Fang Zheng
5. B. Weinkove
6. Lei Ni

Citations in the corpus

• Ricci Curvatures on Hermitian manifolds (2014, background): “As an application of this simple observation, one can see the following result of Lebrun which is also observed in [5] and [48].”