Notes on Kählerian metrics with vanishing Bochner curvature tensor

DOI10.2996/kmj/1138846167zbMath0199.25303OpenAlexW2061315969MaRDI QIDQ5597398

Shun-ichi Tachibana, Richard C. Liu

Publication date: 1970

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138846167

zbMATH Keywords

differential geometry

Related Items (14)

Some submersions of extrinsic hyperspheres of a Bochner-Kähler manifold ⋮ Chern classes of spherical CR manifolds ⋮ Kähler metrics generated by functions of the time-like distance in the flat Kähler-Lorentz space ⋮ Mean curvatures for holomorphic 2p-planes in Kählerian manifolds ⋮ Kähler manifolds of quasi-constant holomorphic sectional curvatures ⋮ Differential-geometric structures on manifolds ⋮ Bochner-Kähler metrics ⋮ Warped product Kähler manifolds and Bochner-Kähler metrics ⋮ Kaehler immersions with vanishing Bochner curvature tensors ⋮ An inequality for $4$-dimensional Kählerian manifolds ⋮ On holomorphically subprojective Kählerian manifold, I ⋮ Kaehlerian metrics given by certain smooth potential functions ⋮ On the holonomy groups of Kählerian manifolds with vanishing Bochner curvature tensor ⋮ Bochner-Kähler and Bach flat manifolds

Cites Work

• Holomorphically projective changes and their groups in an almost complex manifold
• On infinitesimal holomorphically projective transformations in Kählerian manifolds
• On conformal and projective transformations in Kählerian manifolds
• A note on holomorphically projective transformations of a Kählerian space with parallel Ricci tensor
• Curvature and Betti Numbers. II
• Curvature and Betti Numbers. (AM-32)
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