Results 21 to 30 of about 87,863 (252)
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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On invariance and Ricci-flatness of Hermitian metrics on open manifolds
Commentarii Mathematici Helvetici, 2006 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]
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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The structure of compact Ricci-flat Riemannian manifolds [PDF]
Journal of Differential Geometry, 1975 Arthur E. Fischer, Joseph A. Wolf
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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
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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.
Xiaochun Rong, Yuguang Zhang
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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
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Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT
Fortschritte der Physik, Volume 71, Issue 1, January 2023., 2023 Abstract We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3‐brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed “the throat fitting into the bulk” directly from the Klebanov‐Strassler geometry.
Ralph Blumenhagen +2 more
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Energy and asymptotics of Ricci-flat 4-manifolds with a Killing field [PDF]
Proceedings of the American Mathematical Society, 2017 Given a complete, Ricci-flat 4-manifold with a Killing field, we give an estimate on the manifold's energy in terms of a certain asymptotic quantity of the Killing field. If the Killing field has no zeros and satisfies a certain asymptotic condition, the manifold is flat.
Brian Weber
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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.
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