On -conformally flat contact metric manifolds.
Arslan, K., Murathan, C., Özgür, C. (2000)
Balkan Journal of Geometry and its Applications (BJGA)
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Displaying similar documents to “Einstein-like and conformally flat contact metric three-manifolds.”
On -conformally flat contact metric manifolds.
Rigidity of Einstein manifolds and generalized quasi-Einstein manifolds
Yi Hua Deng, Li Ping Luo, Li Jun Zhou (2015)
Annales Polonici Mathematici
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We discuss the rigidity of Einstein manifolds and generalized quasi-Einstein manifolds. We improve a pinching condition used in a theorem on the rigidity of compact Einstein manifolds. Under an additional condition, we confirm a conjecture on the rigidity of compact Einstein manifolds. In addition, we prove that every closed generalized quasi-Einstein manifold is an Einstein manifold provided μ = -1/(n-2), λ ≤ 0 and β ≤ 0.
A note on -conformally flat contact manifolds.
De, U.C., Biswas, Sudipta (2006)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Self-dual Kähler manifolds and Einstein manifolds of dimension four
Andrzej Derdziński (1983)
Compositio Mathematica
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Einstein manifolds of positive scalar curvature with arbitrary second Betti number.
Boyer, Charles P., Galicki, Krzysztof, Mann, Benjamin M., Rees, Elmer G. (1996)
Balkan Journal of Geometry and its Applications (BJGA)
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Homogeneous Einstein metrics on flag manifolds.
Sakane, Y. (1999)
Lobachevskii Journal of Mathematics
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Projective relatedness and conformal flatness
Graham Hall (2012)
Open Mathematics
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This paper discusses the connection between projective relatedness and conformal flatness for 4-dimensional manifolds admitting a metric of signature (+,+,+,+) or (+,+,+,−). It is shown that if one of the manifolds is conformally flat and not of the most general holonomy type for that signature then, in general, the connections of the manifolds involved are the same and the second manifold is also conformally flat. Counterexamples are provided which place limitations on the potential...
The L2-Structure of Moduli spaces of Einstein Metrics on 4-Manifolds.
M. Anderson (1992)
Geometric and functional analysis
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On Hypercylinders in Conformally Symmetric Manifolds
Ryszard Deszcz (1992)
Publications de l'Institut Mathématique
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Einstein metrics and stability for flat connections on compact Hermitian manifolds, and a correspondence with Higgs operators in the surface case.
Lübke, M. (1999)
Documenta Mathematica
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Symmetries and Kähler-Einstein metrics
Claudio Arezzo, Alessandro Ghigi (2005)
Bollettino dell'Unione Matematica Italiana
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We consider Fano manifolds that admit a collection of finite automorphism groups , such that the quotients are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that admits a Kähler-Einstein metric too.