Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 10 of 10 for “"Ricci flat"”.
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Geometry of Ricci-flat Kähler manifolds and some counterexamples
In this work, we study geometry of Ricci-flat Kähler manifolds, and also provide some counterexample constructions. We study asymptotic behavior of complete Ricci-flat metrics at infinity and consider a construction of approximate Ricci-flat metrics on quasiprojective manifolds with a divisor with …
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Ricci-flat deformations of orbifolds and asymptotically locally Euclidean manifolds
In this thesis we study Ricci-flat deformations of Ricci-flat Kähler metrics on compact orbifolds and asymptotically locally Euclidean(ALE) manifolds. In both cases we also study the moduli space of Ricci-flat structures. For this purpose, it is convenient to assume that the initial Ricci-flat …
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Asymptotic behavior of complete Ricci-flat metrics on open manifolds
… we describe the asymptotic behavior of complete Ricci-flat Kihler metrics on open manifolds that can be compactified by adding a smooth, ample divisor. This result provides an answer to a question addressed to by Tian and Yau in [TY1], therefore refining the main result in that paper.
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On special Kähler metrics and hypersurfaces
… are special geometric structures, including Ricci-flat Kähler structures on complex manifolds. They are called Calabi-Yau manifolds. Generalizations include Kähler-Ricci soliton structures. In this dissertation, we study these special Kähler metrics and hypersurfaces in Kähler Ricci-flat …
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Applications of Numerical Methods in Heterotic Calabi-Yau Compactification
… We review algorithms for computing both the Ricci-flat metric on Calabi-Yau manifolds and Hermitian Yang-Mills connections on poly-stable holomorphic vector bundles over those spaces. We apply the numerical techniques for obtaining Ricci-flat metrics to study hierarchies of curvature scales …
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Ricci Curvature of Finsler Metrics by Warped Product
… characterization for the proposed metrics to be Ricci-flat and construct explicit examples. Whenever possible, we describe both positive-definite solutions and solutions with Lorentz signature. For the latter, the 4-dimensional metrics may also be studied as Finsler spacetimes.
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On the geometry of the Strominger system
… it can be viewed as a generalization of Ricci-flat metrics on non-Kshler Calabi-Yau 3- folds. In this thesis, I will present some explicit solutions to the Strominger system on a class of noncompact Calabi-Yau 3-folds. These spaces include the important local models like C3 as well as …
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New Classical Solutions in Supergravity
… reduction ansatz of 10D and 11D supergravity on Ricci-flat and noncompact manifolds. These reductions are from a scaling limit of the famous spherical reductions, and can be solely supported by warp factors. The second class contains a large number of String/M theory solutions that have Lifshitz …
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Newtonian Twistor Theory
… able to construct Kodaira deformations of the flat models whose moduli spaces possess Galilean structures with torsion. In five dimensions we find that the canonical affine connection induced on the moduli space can possess anti-self-dual generalised Coriolis forces. We give examples of …
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Deformations and gluing of asymptotically cylindrical manifolds with exceptional holonomy
… by resolving singularities of quotients of flat tori. Later Kovalev found different examples by gluing pairs of exponentially asymptotically cylindrical (EAC) G_2-manifolds (not necessarily with holonomy exactly G_2) whose cylinders match. The result of this gluing construction can be …