Bott manifolds with vanishing Futaki invariants for all Kähler classes

2023/05/10 by Hajime Ono, Ono, Hajime, Yuji Sano +3
Mathematics · #14M25 #51M20 #53C55 #57S12 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2305.05924

openalex publication_date 2023/05/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the only Bott manifolds such that the Futaki invariant vanishes for any Kähler class are isomorphic to the products of the projective lines.

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