A note on the general Hermitian solution to .
Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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Groß, Jürgen (1998)
Bulletin of the Malaysian Mathematical Society. Second Series
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A. Ferrández, V. Miquel (1989)
Mathematica Scandinavica
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Sergio Console, Lorenzo Nicolodi (1999)
Commentationes Mathematicae Universitatis Carolinae
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In this note it is shown that almost Hermitian locally homogeneous manifolds are determined, up to local isometries, by an integer , the covariant derivatives of the curvature tensor up to order and the covariant derivatives of the complex structure up to the second order calculated at some point. An example of a Hermitian locally homogeneous manifold which is not locally isometric to any Hermitian globally homogeneous manifold is given.
Mihail Banaru (2001)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. 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.
Goluzina, E.G. (2005)
Zapiski Nauchnykh Seminarov POMI
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Ian Hambleton, Peter Teichner (1997)
Manuscripta mathematica
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S. Raghavan (1962)
Acta Arithmetica
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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.