Ancient Solutions on Bundles with Non-abelian Structural Group

2016/10/25 by Peng Lü, Y. K. Wang, Lu, Peng +1
Mathematics · Physics and Astronomy · #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1610.07706

openalex publication_date 2016/10/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize the ancient solutions of the Ricci flow on certain principal \rm SO(3) bundles over compact quaternionic Kähler manifolds constructed by Bakas, Kong, and Ni to certain RP³ fibre bundles over a product of two compact quaternionic Kähler manifolds. The ancient solutions are of Type I, κ-noncollapsed, and have positive Ricci curvature. Analogous solutions on even-dimensional non-Kählerian bundle spaces are also constructed.

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