Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups

We begin by recalling a group which is an enlargement of the diffeomorphisms on an ordinary manifold. We used this larger group to unify the gravitational and electroweak fields, which are mediated by bosons. Unfortunately, we could not include the neutrinos, because geometrical theories based on an...

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Main Author: Dave Pandres
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2013/609218
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author Dave Pandres
author_facet Dave Pandres
author_sort Dave Pandres
collection DOAJ
description We begin by recalling a group which is an enlargement of the diffeomorphisms on an ordinary manifold. We used this larger group to unify the gravitational and electroweak fields, which are mediated by bosons. Unfortunately, we could not include the neutrinos, because geometrical theories based on an ordinary manifold generally cannot include fermions. Therefore, in this paper, we introduce an analogous group that contains the superdiffeomorphisms on a DeWitt supermanifold as a proper subgroup.
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institution Kabale University
issn 2314-4629
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language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-a19b2433ef9d44fbad2cb2941f6af21f2025-02-03T01:30:28ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/609218609218Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper SubgroupsDave Pandres0Deparement of Mathematics, University of North Georgia, Dahlonega, GA 30597, USAWe begin by recalling a group which is an enlargement of the diffeomorphisms on an ordinary manifold. We used this larger group to unify the gravitational and electroweak fields, which are mediated by bosons. Unfortunately, we could not include the neutrinos, because geometrical theories based on an ordinary manifold generally cannot include fermions. Therefore, in this paper, we introduce an analogous group that contains the superdiffeomorphisms on a DeWitt supermanifold as a proper subgroup.http://dx.doi.org/10.1155/2013/609218
spellingShingle Dave Pandres
Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
Journal of Mathematics
title Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
title_full Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
title_fullStr Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
title_full_unstemmed Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
title_short Groups Which Contain the Diffeomorphisms and Superdiffeomorphisms as Proper Subgroups
title_sort groups which contain the diffeomorphisms and superdiffeomorphisms as proper subgroups
url http://dx.doi.org/10.1155/2013/609218
work_keys_str_mv AT davepandres groupswhichcontainthediffeomorphismsandsuperdiffeomorphismsaspropersubgroups