Authors: | Kayaçelebi, Artanç |
Title: | Construction of nonnegatively curved invariant metrics on homogeneous disc bundles |
Language (ISO): | en |
Abstract: | In this thesis we analyze under which conditions posed on the boundary metric we can construct nonnegatively curved invariant metrics on homogeneous disc bundles. The metrics we consider are constructed with a method which goes back to Cheeger. In course of analyzing the above stated problem it is shown that an arbitrary invariant metric on a sphere with positive sectional curvature can be extended to a positively curved metric on the ball having the sphere as its boundary, in such a way that the metric is a warped product metric near the boundary. Moreover we analyze in detail under which conditions an invariant metric on the product of an interval and a homogeneous space admits a reparametrization such that the reparametrized metric has nonnegative resp. positive sectional curvature. |
Subject Headings: | Nonnegative sectional curvarture Invariant metrics Cheeger deformations Sectional curvature of homogeneous metrics Homogeneous disc bundles |
URI: | http://hdl.handle.net/2003/34330 http://dx.doi.org/10.17877/DE290R-16407 |
Issue Date: | 2015 |
Appears in Collections: | Lehrstuhl VII: Differentialgeometrie |
Files in This Item:
File | Description | Size | Format | |
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dissertation.pdf | DNB | 563.23 kB | Adobe PDF | View/Open |
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