Geometry and Symmetry in Mathematical Physics
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "E4: Mathematical Physics".
Deadline for manuscript submissions: 31 October 2025 | Viewed by 1023
Special Issue Editor
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
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Keywords
- differential geometry
- Riemannian and pseudo-Riemannian Metrics
- Lie groups
- holonomy
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