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Conformal geodesics and the evolution of spacetimes with positive Cosmological constant. [PDF]
Minucci M.
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Geometry of Ricci-flat Kähler manifolds and some counterexamples
Vladimir BoÅ ⁄ in
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On Complete Non-compact Ricci-flat Cohomogeneity One Manifolds
Cong Zhou
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Conformal Manifolds admitting Ricci-flat Weyl Structures
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On Moderate Degenerations of Polarized Ricci-Flat Kähler Manifolds
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Conical Ricci-flat nearly para-Kähler manifolds
Annals of Global Analysis and Geometry, 2013The main results of the paper are the following: Theorem I. Let \((N,g,T)\) be a para-Sasaki-Einstein 5-dimensional manifold and let \(M^6=(\widehat N,\widehat g,P,\xi)\) be the associated conical Ricci-flat para-Kählerian manifold on the cone \(M=\widehat N\) over \(N\).
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Asymptotically Euclidean Ends of Ricci Flat Manifolds, and Conformal Inversions
Mathematische Nachrichten, 2000It is a basic feature of conformal geometry that the \(n\)-dimensional Euclidean space admits a conformal compactification which is the standard sphere; and vice versa if one starts with the standard sphere \((S^n,g)\) then, using the stereographic projection, there is a conformal factor \(\varphi: S^n\to R\) with exactly one zero \(p\) such that \((S ...
Kühnel, Wolfgang, Rademacher, Hans-Bert
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Spontaneous compactification and Ricci-flat manifolds with torsion
Journal of Mathematical Physics, 1986The Freund–Rubin mechanism is based on the equation Rik=λgik (where λ>0), which, via Myers’ theorem, implies ‘‘spontaneous’’ compactification. The difficulties connected with the cosmological constant in this approach can be resolved if torsion is introduced and λ is set equal to zero, but then compactification ‘‘by hand’’ is necessary since the
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Holomorphic deformations of the Ricci-flat $$\partial \overline \partial $$ -manifolds
Acta Mathematica Sinica, English Series, 2016The author considers the problem of constructing globally convergent power series of integrable Beltrami differentials, respectively, a global canonical family of holomorphic top-degree forms on the deformation spaces. Such constructions for Calabi-Yau manifolds were presented in [\textit{K. Liu} et al., Invent. Math. 199, No.
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SUPERCONFORMAL SYMMETRY AND GEOMETRY OF RICCI-FLAT KÄHLER MANIFOLDS
International Journal of Modern Physics A, 1989A supersymmetric nonlinear σ-model provides us a tool for studying the dynamics of superstrings on a compactified space. If the compactified space is a Ricci-flat Kähler manifold, the nonlinear σ-model has extended superconformal symmetry and the partition function of the model is expressed in terms of characters of the superconformal algebra.
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