Geometric Methods and their Applications

Dear Colleagues,

The aim of our Special Issue, titled Geometric Methods and their Applications, is to bring together outstanding theoretical contributions using geometric methods from various mathematical and physical research areas, with real-world applications.

Geometric methods retain the force they have long had in new and old domains, which would seem to be exhausted. For example:

- Lagrangians and Hamiltonians can reinterpret the classical analysis on manifolds.

- The use of foliations can give new perspectives to classical mechanics.

- Classical generalizations using different types of algebroids or groupoids can make the transfer to the study of singular structures using classical methods for regular structures.

- Some methods of discretization have a discrete setting, but some combine the discrete with the continuous, such as Veselov-type discretizations of tangent spaces.

- Symmetries, the Klein basis of geometry, or Noether’s base of physics can be involved in varied forms in geometry and physics, related to various settings.

The purpose of this Special Issue is to include works containing new and significant original results in the topics specified above, but also a limited number of exceptional survey papers. We will select and accept only high-quality papers, written and organized impeccably, including significant examples and applications.

 The research topics include, but are not limited to, the following:

•  First- and higher-order Finslerians, Lagrangians, and Hamiltonians;
•  Geometric theory of foliations;
•  Nonholonomic spaces;
•  Geometric symmetries;
•  Geometric methods and differential equations;
•  Induced structures on submanifolds;
•  Algebroids, groupoids and generalizations;
•  Discretization methods in geometry.

Prof. Paul Popescu
Assoc. Prof. Marcela Popescu
Guest Editors

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