Bounding \(\lambda_2\) for Kähler-Einstein metrics with large symmetry groups

DOI10.1007/s10455-014-9416-2zbMath1305.58016arXiv1308.1312OpenAlexW2085524436MaRDI QIDQ403625

J. Herrera, H. S. Yoon

Publication date: 29 August 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.1312

zbMATH Keywords

spectrum of the LaplacianKähler-Einstein manifold

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Cites Work

• On Ricci solitons of cohomogeneity one
• Non-homogeneous Kähler-Einstein metrics on compact complex manifolds. II
• Some numerical results in complex differential geometry
• Examples of compact Einstein Kähler manifolds with positive Ricci tensor
• The existence of Kähler-Einstein metrics on manifolds with positive anticanonical line bundle and a suitable finite symmetry group
• Kaehler structures on toric varieties
• Kähler--Ricci solitons on toric manifolds with positive first Chern class
• On the spectrum of the Page and the Chen-LeBrun-Weber metrics
• Einstein manifolds
• Numerical Kähler-Einstein metric on the third del Pezzo
• On the Invariant Spectrum of S ¹ -Invariant Metrics on S ²
• Hearing Delzant polytopes from the equivariant spectrum
• Ricci iterations on Kähler classes
• KÄHLER GEOMETRY OF TORIC VARIETIES AND EXTREMAL METRICS
• Remarks on Kähler-Einstein Manifolds
• Numerical Ricci-flat metrics on K3