Generalized Einstein conditions on holomorphic Riemannian manifolds

DOI10.1007/s10474-006-0111-zzbMath1121.53024OpenAlexW2015981118WikidataQ115384339 ScholiaQ115384339MaRDI QIDQ879214

Karina Olszak, Zbigniew Olszak

Publication date: 8 May 2007

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-006-0111-z

zbMATH Keywords

Einstein manifoldKähler-Norden manifoldholomorphic generalized Einstein conditionholomorphic Riemannian manifold

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Other complex differential geometry (53C56)

Related Items (1)

A note on para-holomorphic Riemannian–Einstein manifolds

Cites Work

• On the curvature of Kähler-Norden manifolds
• 4-dimensional anti-Kähler manifolds
• The real geometry of complex space-times
• The nonlinear graviton in interaction with a photon
• Holomorphically projective transformations on complex Riemannian manifold
• Anti-Kählerian manifolds
• ℋ -Space with a cosmological constant
• Spaces of Complex Null Geodesics in Complex-Riemannian Geometry
• Almost-complex and almost-product Einstein manifolds from a variational principle
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