Rigidity results for Riemannian twistor spaces under vanishing curvature conditions
From MaRDI portal
Publication:2689724
DOI10.1007/s10455-023-09889-xOpenAlexW4321607276WikidataQ125817390 ScholiaQ125817390MaRDI QIDQ2689724
D. Dameno, Giovanni Catino, Paolo Mastrolia
Publication date: 14 March 2023
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.14865
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Twistor methods in differential geometry (53C28) Methods of local Riemannian geometry (53B21)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Curvature properties of the Chern connection of twistor spaces
- The sixteen classes of almost Hermitian manifolds and their linear invariants
- On the Riemannian curvature of a twistor space
- Manifolds with vanishing Weyl or Bochner curvature tensor
- Curvature identities for Hermitian and almost Hermitian manifolds
- Some topological obstructions to Bochner-Kähler metric and their applications
- Totally real bisectional curvature, Bochner-Kähler and Einstein-Kähler manifolds
- Mean curvatures for holomorphic 2p-planes in Kählerian manifolds
- Almost Hermitian manifolds with constant holomorphic sectional curvature
- Harmonic almost-complex structures on twistor spaces
- Kähler curvature identities for twistor spaces
- Sufficient conditions for an almost-Hermitian manifold to be Kählerian
- On the mean curvature for holomorphic 2\(p\)-plane in Kählerian spaces
- Curvature and Betti Numbers. II
- Bochner-Kähler metrics
- On Einstein Metrics on the Twistor Space of a Four‐Dimensional Riemannian Manifold
- Kählerian Twistor Spaces
- Instability of the nearly-Kähler six-sphere.
- Self-duality in four-dimensional Riemannian geometry
- Almost Hermitian manifolds and the Bochner curvature tensor
- Introduction to Riemannian Manifolds
- On the Hermitian curvature of symplectic manifolds
- Twistor Algebra
- Some remarks on conformally symmetric Riemannian spaces
This page was built for publication: Rigidity results for Riemannian twistor spaces under vanishing curvature conditions