Einstein Constants and Smooth Topology

Claude LeBrun

doi:10.1007/978-3-031-92297-8_10

Einstein Constants and Smooth Topology

Claude LeBrun

Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

Abstract

It was first shown in Catanese and LeBrun (Math. Res. Lett. 4, 843–854, 1997) that certain high-dimensional smooth closed manifolds admit pairs of Einstein metrics with Ricci curvatures of opposite sign. After reviewing subsequent progress that has been made on this topic, we then prove various related results, with the ultimate goal of stimulating further research on associated questions.

Original language	English
Title of host publication	Real and Complex Geometry
Subtitle of host publication	In Honour of Paul Gauduchon
Publisher	Springer Science+Business Media
Pages	219-235
Number of pages	17
ISBN (Electronic)	9783031922978
ISBN (Print)	9783031922961
DOIs	https://doi.org/10.1007/978-3-031-92297-8_10
State	Published - Jan 1 2025

Keywords

Calabi-Yau
Einstein constant
Einstein metric
Fano manifold
G manifold
h-Cobordism
Kähler-Einstein
Ricci-flat
Sasaki-Einstein

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10.1007/978-3-031-92297-8_10

Cite this

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KW - h-Cobordism

KW - Kähler-Einstein

KW - Ricci-flat

KW - Sasaki-Einstein

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Einstein Constants and Smooth Topology

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Keywords

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