Einstein Constants and Smooth Topology

Claude LeBrun ()
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Claude LeBrun: Stony Brook University, Department of Mathematics

A chapter in Real and Complex Geometry, 2025, pp 219-235 from Springer

Abstract: 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.

Keywords: Einstein metric; Einstein constant; h-Cobordism; Kähler-Einstein; Ricci-flat; Sasaki-Einstein; G 2 $$G_2$$ manifold; Fano manifold; Calabi-Yau (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/978-3-031-92297-8_10

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