Vaisman manifolds and transversally Kähler-Einstein metrics

DOI10.1007/s10231-023-01304-3zbMath1529.53066arXiv2205.02120OpenAlexW4316500454MaRDI QIDQ6156103

Gabriel Eduard Vîlcu, Vladimir Slesar

Publication date: 12 June 2023

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.02120

zbMATH Keywords

Vaisman manifoldstransverse Kähler-Einstein metrictransverse Kähler-Ricci flow

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler-Einstein manifolds (32Q20) Flows related to complex manifolds (e.g., Kähler-Ricci flows, Chern-Ricci flows) (53E30)

Cites Work

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• LCK rank of locally conformally Kähler manifolds with potential
• Toric Vaisman manifolds
• On generalized \(m\)-quasi-Einstein manifolds with constant Ricci curvatures
• The Sasaki-Ricci flow on Sasakian 3-spheres
• Generalized quasi-Einstein manifolds with harmonic Weyl tensor
• On \(\eta\)-Einstein Sasakian geometry
• The canonical foliations of a locally conformal Kähler manifold
• Generalized Hopf manifolds, locally conformal Kaehler structures and real hypersurfaces
• The canonical foliation of a compact generalized Hopf manifold
• Locally conformal Kähler geometry
• Structure theorem for compact Vaisman manifolds
• On the metric structure of non-Kähler complex surfaces
• Second-order geometric flows on foliated manifolds
• An immersion theorem for Vaisman manifolds
• Generalized Hopf manifolds
• On the normal bundle of a complex submanifold of a locally conformal Kaehler manifold
• Almost formality of quasi-Sasakian and Vaisman manifolds with applications to nilmanifolds
• LcK structures with holomorphic Lee vector field on Vaisman-type manifolds
• Deformations of Vaisman manifolds
• Compact homogeneous lcK manifolds are Vaisman
• The topology of contact Riemannian manifolds
• Foliated manifolds with bundle-like metrics
• Closed orbits of Reeb fields on Sasakian manifolds and elliptic curves on Vaisman manifolds
• \(J\)-trajectories in Vaisman manifolds
• Locally Sasakian manifolds
• The Chern–Ricci flow on complex surfaces
• The behavior of the Chern scalar curvature under the Chern-Ricci flow
• THE SASAKI–RICCI FLOW
• On compact locally conformal Kaehler manifolds with non-negative sectional curvature
• Hard Lefschetz theorem for Vaisman manifolds
• KAWA lecture notes on the K\"ahler-Ricci flow
• Half conformally flat generalized quasi-Einstein manifolds of metric signature (2,2)
• Structures de Weyl-Einstein, espace de twisteurs et variétés de type S1 x S3.
• HOMOGENEOUS SASAKI AND VAISMAN MANIFOLDS OF UNIMODULAR LIE GROUPS
• A splitting theorem for compact Vaisman manifolds
• Generalized quasi-Einstein GRW space-times
• A note on generalized quasi‐Einstein manifolds
• The K\"ahler-Ricci flow on compact K\"ahler manifolds
• On generalized quasi-Einstein manifolds

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