Classification of nonsymmetric Riemannian manifolds using holonomy groups

dc.contributor	Graduate Program in Mathematics.
dc.contributor.advisor	Değer, Nihat Sadık.
dc.contributor.author	Ferlendez, Bora.
dc.date.accessioned	2023-03-16T11:21:34Z
dc.date.available	2023-03-16T11:21:34Z
dc.date.issued	2008.
dc.identifier.other	MATH 2008 F47
dc.identifier.uri	http://digitalarchive.boun.edu.tr/handle/123456789/15236
dc.description.abstract	In this thesis, Simons’ proof of Berger’s classification of nonsymmetric irreducible Riemannian manifolds with respect to their holonomy groups is studied and Berger’s classification is discussed. The main tools will be principal fibre bundles and vector bundles. Using them, the Ambrose-Singer theorem is investigated, which relates the geometric meaning of curvature to holonomy groups and forms the basis of Simons’ proof.
dc.format.extent	30cm.
dc.publisher	Thesis (M.S.)-Bogazici University. Institute for Graduate Studies in Science and Engineering, 2008.
dc.subject.lcsh	Riemannian manifolds.
dc.subject.lcsh	Holonomy groups.
dc.title	Classification of nonsymmetric Riemannian manifolds using holonomy groups
dc.format.pages	xi, 81 leaves;