Rotations and Hermitian Symmetric Spaces.
Lieven Vanhecke, Lorenzo Nicolodi (1990)
Monatshefte für Mathematik
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Lieven Vanhecke, Lorenzo Nicolodi (1990)
Monatshefte für Mathematik
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Włodzimierz Jelonek (2003)
Annales Polonici Mathematici
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We study 4-dimensional Einstein-Hermitian non-Kähler manifolds admitting a certain anti-Hermitian structure. We also describe Einstein 4-manifolds which are of cohomogeneity 1 with respect to an at least 4-dimensional group of isometries.
Ngaiming Mok (1986)
Mathematische Annalen
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Roberto Catenacci, Annalisa Marzuoli (1984)
Annales de l'I.H.P. Physique théorique
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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 , , and on the product surface of two curves and whose genuses are greater than 1...
Andrew Balas (1987)
Mathematische Zeitschrift
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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 and are hermitian.
A. Ferrández, V. Miquel (1989)
Mathematica Scandinavica
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Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Paul Gauduchon, Andrew Balas (1985)
Mathematische Zeitschrift
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