On Some 2-Dimensional Hermitian Manifolds.
F. Tricerri, I. Vaisman (1986)
Mathematische Zeitschrift
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F. Tricerri, I. Vaisman (1986)
Mathematische Zeitschrift
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Lübke, M. (1999)
Documenta Mathematica
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Ganchev, Georgi, Kassabov, Ognian (2007)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: Primary 53B35, Secondary 53C50. In dimension greater than four, we prove that if a Hermitian non-Kaehler manifold is of pointwise constant antiholomorphic sectional curvatures, then it is of constant sectional curvatures.
Giovanni Battista Rizza (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.
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.
Georgi Ganchev, Stefan Ivanov (1997)
Monatshefte für Mathematik
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Roberto Catenacci, Annalisa Marzuoli (1984)
Annales de l'I.H.P. Physique théorique
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Gadea, P.M., Hernández Encinas, L. (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Giovanni Battista Rizza (1988)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Almost hermitian manifolds, whose Riemann curvature tensor satisfies an almost complex Bianchi-type identity, are considered. Some local and global theorems are proved. The special cases of parakähler manifolds and of Kähler manifolds are examined.
Vasile Oproiu, Neculai Papaghiuc (2005)
Colloquium Mathematicae
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In [11] we have considered a family of almost anti-Hermitian structures (G,J) on the tangent bundle TM of a Riemannian manifold (M,g), where the almost complex structure J is a natural lift of g to TM interchanging the vertical and horizontal distributions VTM and HTM and the metric G is a natural lift of g of Sasaki type, with the property of being anti-Hermitian with respect to J. Next, we have studied the conditions under which (TM,G,J) belongs to one of the eight classes of anti-Hermitian...
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...
Ngaiming Mok (1986)
Mathematische Annalen
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Mangione, Vittorio (2003)
Balkan Journal of Geometry and its Applications (BJGA)
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Peter Gilkey, Stana Nikčević (2013)
Publications de l'Institut Mathématique
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