Global ETD Search
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Showing 1 to 6 of 6 for “"curvature tensor"”.
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Strichartz estimates for the wave equation on Riemannian manifolds of bounded curvature
… under the condition that the Riemannian curvature tensor is uniformly bounded. This improves upon prior results for the case of metrics with two bounded derivatives.
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Functional inequalities and the curvature dimension inequality on totally geodesic foliations
… totally geodesic foliations. Under a certain curvature condition, we obtain (1) Sobolev-isoperimetric inequalities, global Poincar\'e inqualities, and a lower bound for Cheeger's isoperimetric constant, (2) Poincar\'e inequalities on balls and uniqueness of positive(or $L^p,p\geq 1$) solutions …
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Limiting behavior of Ricci flows
… flow ...Richard Hamilton showed that if the curvature operator is uniformly bounded under the flow for all times ... then the solution can be extended beyond T. In the thesis we prove that if the Ricci curvature is uniformly bounded under the flow for all times ... then the curvature tensor …
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A minimization of a curvature functional on fiber bundles
… metric on the base, $g\sb{f}$ is a constant curvature metric on the fiber invariant under the action of the group. We can obtain a new metric on M by scaling the horizontal component of the original by $e\sp{2u}$ and the vertical component by $f\sp2,$ where u and f are smooth functions on the …
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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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Einstein's Equations in Vacuum Spacetimes with Two Spacelinke Killing Vectors Using Affine Projection Tensor Geometry
… vectors are explored using affine projection tensor geometry. By doing a semi-conformal transformation on the metric, a new "fiducial" geometry is constructed using a projection tensor fields. This fiducial geometry provides coordinate independent information about the underlying structure of …