Holomorphic sectional curvature of complex Finsler manifolds
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Publication:1725857
DOI10.1007/S12220-018-9985-6OpenAlexW3103080270WikidataQ91242192 ScholiaQ91242192MaRDI QIDQ1725857
Publication date: 15 February 2019
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.10246
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)
Related Items (7)
Schwarz lemma from a Kähler manifold into a complex Finsler manifold ⋮ A Schwarz lemma for weakly Kähler-Finsler manifolds ⋮ Kähler metrics on the projective bundle of a holomorphic Finsler vector bundle ⋮ Characterization of holomorphic invariant strongly pseudoconvex complex Finsler metrics on unit polydisks ⋮ Curvature formulas related to a family of stable Higgs bundles ⋮ Complex Lie algebroids and Finsler manifold in time-dependent fractal dimension and their associated decomplexifications ⋮ Unnamed Item
Cites Work
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- Negative holomorphic curvature and positive canonical bundle
- Schwarz lemma and Hartogs phenomenon in complex Finsler manifold
- A remark on our paper ``negative holomorphic curvature and positive canonical bundle
- Strict and nonstrict positivity of direct image bundles
- Positivity of direct image bundles and convexity on the space of Kähler metrics
- On the sum of the Hermitian scalar curvatures of a compact Hermitian manifold
- Finsler manifolds modeled on a Minkowski space
- Finsler metrics - a global approach. With applications to geometric function theory
- Holomorphic curvature of Finsler metrics and complex geodesics
- An extension of a theorem of Wu-Yau
- Finsler geometry of projectivized vector bundles
- Finsler metrics and Kobayashi hyperbolicity of the moduli spaces of canonically polarized manifolds
- Curvature of vector bundles associated to holomorphic fibrations
- Curvatures of direct image sheaves of vector bundles and applications
- Isometric immersions of Riemannian manifolds
- On complex manifolds with positive tangent bundles
- Chern forms of holomorphic Finsler vector bundles and some applications
- A remark on the codimension of the Green–Griffiths locus of generic projective hypersurfaces of high degree
- A General Schwarz Lemma for Kahler Manifolds
- Harmonic functions on complete riemannian manifolds
- Negative Vector Bundles and Complex Finsler Structures
- Moduli of canonically polarized manifolds, higher order Kodaira-Spencer maps, and an analogy to Calabi-Yau manifolds
- Positivity and vanishing theorems for ample vector bundles
- Geodesic-Einstein metrics and nonlinear stabilities
- From Riemann and Kodaira to modern developments on complex manifolds
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