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 16 of 16 for “"Scalar Curvature"”.
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Scalar Curvature Constraints on Symplectic 4-Manifolds
… concerns it- self with distances, angles, areas, curvatures, etc., all of which typically vary from one point on the manifold to the next, topology studies properties of manifolds that are unaltered and remain constant when varying the metric. In this thesis we first provide a general overview of …
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Scalar curvature on noncompact complete Riemannian manifolds
… a noncompact complete Riemannian manifold whose scalar curvature S(x) is positive for all x in M. In this thesis, we study a conformal deformation of the given metric g, which makes the scalar curvature of the deformed metric a positive constant. We also study the existence of a complete …
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Positive scalar curvature and Callias-type index theorems for proper actions
… theorem for G- invariant metrics of positive scalar curvature in the non-cocompact setting.
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Ricci flow on 3-manifolds with symmetry
… has a low positive bound away from zero, if the scalar curvature on the 3-manifold is positive. We also obtained a monotonicity result under the condition that the length of the optimal curve for isoperimetric ratio shrinks to zero under Ricci flow. This result excludes the product of a cigar …
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The Ricci Flow on Spin Manifolds
… Perelman, and its relationship with the weighted scalar curvature are investigated. Further, a generalization of the ADM mass for weighted asymptotically Euclidean (AE) manifolds is defined; on manifolds with nonnegative weighted scalar curvature, it satisfies a weighted Witten formula and thereby …
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Manifoldlike Causal Sets
… as a way to find the discrete version of scalar curvature in causal sets in order to present a dynamics of gravitational fields.
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Quantum Effects of Scalar Fields in Black Hole and Cosmological Spacetimes
… is presented of the effects of free quantum scalar fields upon the geometry of a cosmological spacetime containing a big rip singularity. The spacetime investigated is that of a spatially flat FRW metric in which the scale factor increases as a power-law with a divergence at some future time …
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SPECIAL RIEMANNIAN STRUCTURES ON FOUR-MANIFOLDS: FROM TWISTOR SPACES TO UNOBSTRUCTED CONDITIONS
… between the existence of metrics satisfying curvature properties and the topology of the manifold they are defined on. In the first part of the work, we introduce Riemannian twistor spaces, which are 6-dimensional manifolds which can be associated to any Riemannian four-manifold: these spaces …
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Calibrations and minimal Lagrangian submanifolds
… 3) A Kahler-Einstein manifold M with non-zero scalar curvature. We will study the geometry of minimal Lagrangian submanifolds in M and their interaction with the geometry of M. We will also construct some new families of minimal Lagrangian submanifolds in toric Kahler-Einstein manifolds. 4) A …
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Ricci Curvature of Noncommutative Three Tori, Entropy, and Second Quantization
… used to define suitable notions such as volume, scalar curvature, and Ricci curvature. In particular, one can construct the Ricci curvature from the asymptotic expansion of the heat trace $textrm{Tr}(e^{-tD^2})$. In Chapter 2, we will compute the Ricci curvature of a curved noncommutative three …
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Results on spectral sequences for monopole and singular instanton Floer homologies
… cover, such that each metric has positive scalar curvature. This allows us to conclude that the Seiberg-Witten equations for these families of metrics have no irreducible solutions, so the differentials in the spectral sequence can be computed from counting only the reducible solutions.
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Ambient Obstruction Solitons And Homogeneous Gradient Bach Solitons
… positive. This enables us to examine measures of curvature on a manifold. The study of manifolds with such metrics is called Riemannian geometry. Using geometric flows associated with tensors, we are able to analyze the relationship between metrics and curvature. Examining solitons, specifically …
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Ambient Obstruction Solitons and Homogeneous Gradient Bach Solitons
… positive. This enables us to examine measures of curvature on a manifold. The study of manifolds with such metrics is called Riemannian geometry. Using geometric flows associated with tensors, we are able to analyze the relationship between metrics and curvature. Examining solitons, specifically …
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The projective to Einstein correspondence and a kink on a wormhole
… the manifolds $M$ have anti–self–dual conformal curvature, and are thus associated with a twistor space. In the presence of a symmetry, they can be reduced to Einstein-Weyl structures in dimension three via the Jones–Tod correspondence. Because $M$ is also Einstein with non–zero scalar curvature, …
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STRONGLY INTERACTING MATTER:ANALYSIS OF QCD PHASE DIAGRAM BY THERMODYNAMIC GEOMETRY
… phase transition has been studied evaluating the scalar curvature, R, of the thermo-metric, gμν. In all the studied models, R is positive (like for statistical repulsive) for temperature well above the transition one, and becomes negative around the transition. This suggests that around the chiral …