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
Issue Date: 2015
Appears in Collections:Lehrstuhl VII: Differentialgeometrie

Files in This Item:
File Description SizeFormat 
dissertation.pdfDNB563.23 kBAdobe PDFView/Open

This item is protected by original copyright

All resources in the repository are protected by copyright.