Geometry and Symmetry in Mathematical Physics

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 31 March 2025 | Viewed by 55

Special Issue Editor


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Guest Editor
School of Computing and Engineering, University of West London, London W5 5RF, UK
Interests: differential geometry; algebra; group theory; topology; pure mathematics; combinatorics; matrix theory; construction set theory

Special Issue Information

Dear Colleagues,

Many phenomena in physics are described in terms of differential equations. Imposing symmetry to such problems often leads to drastic simplifications. For example, when considering problems where the underlying space is a Lie group, many questions turn into linear algebra problems. In other situations, symmetry assumptions reduce complicated partial differential equations to ordinary differential equations. As a main consequence, it is often possible to provide explicit solutions.

This Special Issue invites contributions that use symmetry techniques to address problems directly or indirectly related to problems arising in physics. Of particular interest are problems related to Riemannian and/or pseudo-Riemannian geometry as well as Lie theory.

We welcome contributions that add new theoretical knowledge, provide particular insights into computational techniques, or add a new perspective to otherwise known results in the field.

Dr. Thomas Bruun Madsen
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • differential geometry
  • Riemannian and pseudo-Riemannian Metrics
  • Lie groups
  • holonomy

Published Papers

This special issue is now open for submission.
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