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DC Field | Value | Language |
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dc.contributor.author | Munir, MuhammadMobeen | - |
dc.date.accessioned | 2017-11-29T09:19:56Z | - |
dc.date.accessioned | 2020-04-14T18:59:13Z | - |
dc.date.available | 2020-04-14T18:59:13Z | - |
dc.date.issued | 2006 | - |
dc.identifier.uri | http://142.54.178.187:9060/xmlui/handle/123456789/7258 | - |
dc.description.abstract | The main result of this thesis is a classification of all homogeneous spaces G/H admitting a G-invariant G2 -structure, assuming that G is a connected compact Lie group and G acts effectively on G/H. They include a subclass of all homogeneous ̃ spaces G/H with a G-invariant G2 -structure, where G is a compact Lie group. There are many new examples with nontrivial fundamental group. A formula computing the ̃ dimension of the space of G-invariant structures (resp. of G-invariant G2 -structures) on G/H is given. We study a subclass of homogeneous spaces of high rigidity and low rigidity and show that they admit families of invariant co-closed G2 -structures (resp. ̃ ̃ G2 -structures). Some new interesting examples of G2 -structures on these spaces are ̃ found. We also present a scheme of classification of G2 -structures using their intrinsic torsion. | en_US |
dc.description.sponsorship | Higher Education Commission Islamabad, Pakistan | en_US |
dc.language.iso | en | en_US |
dc.publisher | GC University Lahore, Pakistan | en_US |
dc.subject | Social sciences | en_US |
dc.title | Compact Homogeneous 7-Manifolds Admitting Invariant G2 or ~ G2 -Structures | en_US |
dc.type | Thesis | en_US |
Appears in Collections: | Thesis |
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