On Kählerian manifolds with positive holomorphic sectional curvature

DOI10.3792/pja/1195525029zbMath0078.14205OpenAlexW2071616158MaRDI QIDQ3244796

Yotaro Tsukamoto

Publication date: 1957

Published in: Proceedings of the Japan Academy, Series A, Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pja/1195525029

zbMATH Keywords

ConnectionsRiemannian Manifolds

Related Items (21)

Lower bounds for the first eigenvalue of 𝑝-Laplacian on Kähler manifolds ⋮ Improved Beckner-Sobolev inequalities on Kähler manifolds ⋮ A note on the almost-one-half holomorphic pinching ⋮ Hermitian metrics of positive holomorphic sectional curvature on fibrations ⋮ On projective Kähler manifolds of partially positive curvature and rational connectedness ⋮ On holomorphic sectional curvature of Kähler quotients ⋮ Properly discontinuous actions on Hilbert manifolds ⋮ On projectivized vector bundles and positive holomorphic sectional curvature ⋮ Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds ⋮ Some Implications of the Generalized Gauss-Bonnet Theorem ⋮ Differential geometry of Kaehler submanifolds ⋮ ON COMPLEX RANDERS METRICS ⋮ Curvature identities for Hermitian and almost Hermitian manifolds ⋮ On Calabi extremal Kähler-Ricci solitons ⋮ The fundamental group, rational connectedness and the positivity of Kähler manifolds ⋮ Comparison and vanishing theorems for Kähler manifolds ⋮ General Schwarz Lemmata and their applications ⋮ On holomorphic sections of certain hermitian vector bundles ⋮ Three remarks on fundamental groups of some Riemannian manifolds ⋮ Hirzebruch manifolds and positive holomorphic sectional curvature ⋮ Positivity and the Kodaira embedding theorem

Cites Work

• Unnamed Item
• Riemannian manifolds in the large
• Quelques propriétés globales des espaces de Riemann
• ON THE CONNECTIVITY OF SPACES OF POSITIVE CURVATURE

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