Results 11 to 20 of about 87,863 (252)
The nonuniqueness of the tangent cones at infinity of Ricci-flat manifolds [PDF]
Geometry & Topology, 2016 It is shown by Colding and Minicozzi the uniqueness of the tangent cone at infinity of Ricci-flat manifolds with Euclidean volume growth which has at least one tangent cone at infinity with a smooth cross section.
Hattori, Kota
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Compact Ricci-Flat Kähler Manifolds [PDF]
Advanced Studies in Pure Mathematics, 1990 Ichiro Enoki
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On the $C^k$-embedding of Lorentzian manifolds in Ricci-flat spaces [PDF]
Journal of Mathematical Physics, 2018 In this paper we investigate the problem of non-analytic embeddings of Lorentzian manifolds in Ricci-flat semi-Riemannian spaces. In order to do this, we first review some relevant results in the area, and then motivate both the mathematical and physical
Avalos, Rodrigo +2 more
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Supersymmetry, Ricci flat manifolds and the String Landscape [PDF]
Journal of High Energy Physics, 2020 AbstractA longstanding question in superstring/Mtheory is does it predict supersymmetry below the string scale? We formulate and discuss a necessary condition for this to be true; this is the mathematical conjecture that all stable, compact Ricci flat manifolds have special holonomy in dimensions below eleven. Almost equivalent is the proposal that the
B. S. Acharya
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The Calabi construction for compact Ricci flat Riemannian manifolds [PDF]
Bulletin of the American Mathematical Society, 1974 1. The main result and some consequences. In 1956 E. Calabi [6] attacked the classification problem of compact euclidean space forms by means of a special construction, called the Calabi construction (see Wolf [14, p. 124]). Here we announce that the construction can be extended to compact riemannian manifolds whose Ricci curvature tensor is zero ...
Arthur E. Fischer, Joseph A. Wolf
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Weighted Sobolev Inequalities and Ricci Flat Manifolds [PDF]
Geometric and Functional Analysis, 2009 We prove a weighted Sobolev inequality and a Hardy inequality on manifolds with nonnegative Ricci curvature satisfying an inverse doubling volume condition. It enables us to obtain rigidity results for Ricci flat manifolds, generalizing earlier work of Bando, Kasue and Nakajima.
Vincent Minerbe
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Remarks on derived equivalences of Ricci-flat manifolds [PDF]
Mathematische Zeitschrift, 2008 25 ...
Daniel Huybrechts +1 more
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Ricci-flat Kähler manifolds from supersymmetric gauge theories [PDF]
Nuclear Physics B, 2002 Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kahler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. Each of the metrics contains a resolution parameter which controls
Kiyoshi Higashijima +2 more
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Brownian motion on Perelman’s almost Ricci-flat manifold [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2019 Abstract We study Brownian motion and stochastic parallel transport on Perelman’s almost Ricci flat manifold ℳ = M
Esther Cabezas-Rivas, Robert Haslhofer
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Bismut Ricci flat manifolds with symmetries [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022 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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