Stability of ALE Ricci-Flat Manifolds Under Ricci Flow [PDF]
The Journal of Geometric Analysis, 2020 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
openalex +5 more sources
Static Ricci-flat 5-manifolds admitting the 2-sphere [PDF]
Classical and Quantum Gravity, 2006 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
openalex +5 more sources
The structure of compact Ricci-flat Riemannian manifolds [PDF]
Journal of Differential Geometry, 1975 Arthur E. Fischer, Joseph A. Wolf
openalex +4 more sources
DEGENERATIONS OF RICCI-FLAT CALABI–YAU MANIFOLDS [PDF]
Communications in Contemporary Mathematics, 2012 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
Xiaochun Rong, Yuguang Zhang
openalex +5 more sources
Asymptotically cylindrical Ricci-flat manifolds [PDF]
Proceedings of the American Mathematical Society, 2006 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
openalex +4 more sources
Canonical Identification at Infinity for Ricci-Flat Manifolds [PDF]
The Journal of Geometric Analysis, 2021 We give a natural way to identify between two scales, potentially arbitrarily far apart, in a non-compact Ricci-flat manifold with Euclidean volume growth when a tangent cone at infinity has smooth cross section. The identification map is given as the gradient flow of a solution to an elliptic equation.
openaire +2 more sources
Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Geophysical Monograph Series, Page 27-82., 2021 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
wiley +1 more source
On noncollapsed almost Ricci-flat 4-manifolds [PDF]
American Journal of Mathematics, 2019 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
openaire +3 more sources
Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds
Differential Geometry and its Applications, 2006 30 pages, revised versions: typos corrected, references added, in v4 error in Theorem 4.2 ...
Thomas Leistner
openalex +5 more sources
Infinite families of homogeneous Bismut Ricci flat manifolds
Communications in Contemporary Mathematics, 2022 Starting from compact symmetric spaces of inner type, we provide infinite families of compact homogeneous spaces carrying invariant non-flat Bismut connections with vanishing Ricci tensor. These examples turn out to be generalized symmetric spaces of order [Formula: see text] and (up to coverings) they can be realized as minimal submanifolds of the ...
Fabio Podestà, Alberto Raffero
openaire +2 more sources