Biharmonic Hermitian vector bundles over compact Kaehlar Einstein\n manifolds

2019/05/21 by Hajime Urakawa, Urakawa, Hajime
Mathematics · Physics and Astronomy · #53C43 #58E20 #Advanced Algebra and Geometry #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.1905.08923

openalex publication_date 2019/05/21 · openalex created_date 2022/07/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that, for every Hermitian vector bundle over a compact\nKaehler Einstein manifold, if the projection is biharmonic, then it is\nharmonic.\n

Citations

• Biharmonic homogeneous submanifolds in compact symmetric spaces and compact Lie groups
• Biharmonic properly immersed submanifolds in Euclidean spaces
• Biharmonic submanifolds in a Riemannian manifold

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• Sasaki manifolds, Kaehler cone manifolds and biharmonic submanifolds
• Hermitian Harmonic maps and non-degenerate curvatures
• A short survey on biharmonic maps between Riemannian manifolds
• On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles
• Harmonic maps from Kähler manifolds