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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2013-01-01
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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. |
format | Article |
id | doaj-art-a19b2433ef9d44fbad2cb2941f6af21f |
institution | Kabale University |
issn | 2314-4629 2314-4785 |
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 |