On Kähler metrics in lorentzian manifolds

Roberto Catenacci; Franco Salmistraro

Displaying similar documents to “On Kähler metrics in lorentzian manifolds”

Selfdual Einstein hermitian four-manifolds

Vestislav Apostolov, Paul Gauduchon (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We provide a local classification of selfdual Einstein riemannian four-manifolds admitting a positively oriented hermitian structure and characterize those which carry a hyperhermitian, non-hyperkähler structure compatible with the negative orientation. We show that selfdual Einstein 4-manifolds obtained as quaternionic quotients of $ℍ P^{2}$ and $ℍ H^{2}$ are hermitian.

A note on a hermitian analog of Einstein spaces

Roberto Catenacci, Annalisa Marzuoli (1984)

Annales de l'I.H.P. Physique théorique

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Self-dual Kähler manifolds and Einstein manifolds of dimension four

Andrzej Derdziński (1983)

Compositio Mathematica

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Weakly-Einstein hermitian surfaces

Vestislav Apostolov, Oleg Muškarov (1999)

Annales de l'institut Fourier

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A consequence of the Riemannian Goldberg-Sachs theorem is the fact that the Kähler form of an Einstein Hermitian surface is an eigenform of the curvature operator. Referring to this property as we obtain a complete classification of the compact locally homogeneous $*$ -Einstein Hermitian surfaces. We also provide large families of non-homogeneous $*$ -Einstein (but non-Einstein) Hermitian metrics on $ℂ ℙ^{2} ♯ {\overline{ℂ ℙ}}^{2}$ , $ℂ ℙ^{1} \times ℂ ℙ^{1}$ , and on the product surface $X \times Y$ of two curves $X$ and $Y$ whose genuses are greater than 1...

Sasakian geometry, hypersurface singularities, and Einstein metrics

Boyer, Charles P., Galicki, Krzysztof

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