On the linearization stability of the Chern-scalar curvature

DOI10.1007/s00209-021-02956-8zbMath1497.53081arXiv2106.09990OpenAlexW3177058422MaRDI QIDQ2137865

Daniele Angella, Francesco Pediconi

Publication date: 11 May 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.09990

zbMATH Keywords

Hermitian manifoldChern connectionChern scalar curvaturelinearization stability

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (3)

Bismut connection on Vaisman manifolds ⋮ Prescribing Chern scalar curvatures on noncompact manifolds ⋮ Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics

Cites Work

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• La 1-forme de torsion d'une variété hermitienne compacte
• Scalar curvature and conformal deformation of Riemannian structure
• Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
• A direct approach to the determination of Gaussian and scalar curvature functions
• Deformations of the scalar curvature
• Einstein-Hermitian surfaces and Hermitian Einstein-Weyl structures in dimension 4
• Homogeneous Hermitian manifolds and special metrics
• On the Chern-Yamabe problem
• Transformation groups in differential geometry.
• A note on the strong maximum principle for fully nonlinear equations on Riemannian manifolds
• Remarks on Chern-Einstein Hermitian metrics
• Hermitian metrics of constant Chern scalar curvature on ruled surfaces
• Curvature functions for compact 2-manifolds
• The pseudo-effective cone of a non-Kählerian surface and applications
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Results related to the Chern-Yamabe flow
• Non-K\"ahler Calabi-Yau manifolds
• Scalar curvature on compact complex manifolds
• Critical Sets of Elliptic Equations
• Seminar on Atiyah-Singer Index Theorem. (AM-57)

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