Special Issue "Geometric Methods and their Applications"
Deadline for manuscript submissions: 28 February 2021.
Interests: geometry of differential equations on manifolds; geometric theory of foliations; Finsler and Lagrange geometry; geometric algebra; geometric methods in mechanics
Interests: geometry of submanifolds; Finsler and Lagrange geometry; geometric methods in mechanics
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
Manuscript Submission Information
Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, . Manuscripts can be submitted until the deadline. All papers will be 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 monthly 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 1200 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.