Results 1 to 10 of about 581 (202)
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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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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Infinite families of homogeneous Bismut Ricci flat manifolds [PDF]
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
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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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More M-branes on product of Ricci-flat manifolds [PDF]
International Journal of Geometric Methods in Modern Physics, 2011 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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Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
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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
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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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Ricci-Flat Manifolds, Parallel Spinors and the Rosenberg Index [PDF]
Symmetry, Integrability and Geometry: Methods and ApplicationsEvery closed connected Riemannian spin manifold of non-zero $\hat{A}$-genus or non-zero Hitchin invariant with non-negative scalar curvature admits a parallel spinor, in particular is Ricci-flat. In this note, we generalize this result to closed connected spin manifolds of non-vanishing Rosenberg index.
Thomas Tony
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Conformal holonomy of C-spaces, Ricci-flat, and Lorentzian manifolds [PDF]
Differential Geometry and its Applications, 2005 30 pages, revised versions: typos corrected, references added, in v4 error in Theorem 4.2 ...
Thomas Leistner
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