Calabi–Yau manifolds of cohomogeneity one as complex line bundles

2002/02/28 by Kiyoshi Higashijima, Tetsuji Kimura, Muneto Nitta · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #gr-qc #hep-th #math-ph #math.MP

paper · pdf · doi:10.1016/s0550-3213(02)00750-2

published as Nucl.Phys. B645 (2002) 438-456 · LaTeX2e, 20 pages, no figures, some minor modification in introduction

arxiv created 2002/08/11 · openalex publication_date 2002/11/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a simple derivation of the Ricci-flat Kahler metric and its Kahler potential on the canonical line bundle over arbitrary Kahler coset space equipped with the Kahler-Einstein metric.

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