Differential Geometry and Its Applications in Theoretical Physics

Dear Colleagues,

The aim of this Special Issue of Mathematics is to highlight current trends in the development of differential geometry, to present newly developed structures, and to discuss the methods used in their study. An important part of the project is the broad area of applications of differential geometry in theoretical physics. The mutual influence of modern algebra and differential geometry is also an essential aspect of this project. Research in the following thematic areas falls within the scope of the Special Issue, although it is not limited to them:

1. Connections in fiber bundles, gauge theories, and their generalizations;
2. Lie groups, Lie algebras, Poisson algebras, and their generalizations;
3. Riemannian geometry and general relativity;
4. Noncommutative geometry;
5. Geometric structures in string theory and M-theory;
6. Ternary algebras and quantum physics.

Prof. Dr. Viktor Abramov
Guest Editor

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