Bismut Ricci flat manifolds with symmetries [PDF]
We construct examples of compact homogeneous Riemannian manifolds admitting an invariant Bismut connection that is Ricci flat and non-flat, proving in this way that the generalized Alekseevsky–Kimelfeld theorem does not hold. The classification of compact homogeneous Bismut Ricci flat spaces in dimension$5$is also provided.
Fabio Podestà, Alberto Raffero
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More M-branes on product of Ricci-flat manifolds [PDF]
Partially supersymmetric intersecting (non-marginal) composite M-brane solutions defined on the product of Ricci-flat manifolds M0 × M1 × ⋯ × Mn in D = 11 supergravity are considered and formulae for fractional numbers of unbroken supersymmetries are derived for the following configurations of branes: M2 ∩ M2, M2 ∩ M5, M5 ∩ M5 and M2 ∩ M2 ∩ M2 ...
В. Д. Иващук
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On invariance and Ricci-flatness of Hermitian metrics on open manifolds
We discuss a technique to construct Ricci-flat hermitian metrics on complements of (some) anticanonical divisors of almost homogeneous complex manifolds and inquire into when this metric is complete and Kähler. This construction has a strong interplay with invariance groups of the same dimension as the manifold acting with an open orbit.
Bert Koehler, Marco Kühnel
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Stability of ALE Ricci-Flat Manifolds Under Ricci Flow [PDF]
AbstractWe prove that if an ALE Ricci-flat manifold (M, g) is linearly stable and integrable, it is dynamically stable under Ricci flow, i.e. any Ricci flow starting close togexists for all time and converges modulo diffeomorphism to an ALE Ricci-flat metric close tog. By adapting Tian’s approach in the closed case, we show that integrability holds for
Alix Deruelle, Klaus Kröncke
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The structure of compact Ricci-flat Riemannian manifolds [PDF]
Arthur E. Fischer, Joseph A. Wolf
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Static Ricci-flat 5-manifolds admitting the 2-sphere [PDF]
We examine, in a purely geometrical way, static Ricci-flat 5-manifolds admitting the 2-sphere and an additional hypersurface-orthogonal Killing vector. These are widely studied in the literature, from different physical approaches, and known variously as the Kramer - Gross - Perry - Davidson - Owen solutions.
Kayll Lake
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Asymptotically cylindrical Ricci-flat manifolds [PDF]
Asymptotically cylindrical Ricci-flat manifolds play a key role in constructing Topological Quantum Field Theories. It is particularly important to understand their behavior at the cylindrical ends and the natural restrictions on the geometry. In this paper we show that an orientable, connected, asymptotically cylindrical manifold(M,g)(M,g)with Ricci ...
Sema Salur
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Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm+2 more
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DEGENERATIONS OF RICCI-FLAT CALABI–YAU MANIFOLDS [PDF]
This paper is a sequel to [Continuity of extremal transitions and flops for Calabi–Yau manifolds, J. Differential Geom.89 (2011) 233–270]. We further investigate the Gromov–Hausdorff convergence of Ricci-flat Kähler metrics under degenerations of Calabi–Yau manifolds. We extend Theorem 1.1 in [Continuity of extremal transitions and flops for Calabi–Yau
Yuguang Zhang+2 more
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On noncollapsed almost Ricci-flat 4-manifolds [PDF]
We give topological conditions to ensure that a noncollapsed almost Ricci-flat 4-manifold admits a Ricci-flat metric. One sufficient condition is that the manifold is spin and has a nonzero A-hat genus. Another condition is that the fundamental group is infinite or, more generally, of sufficiently large cardinality.
Vitali Kapovitch, John Lott
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