New Perspectives in Differential Geometry and Its Applications
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".
Deadline for manuscript submissions: 30 March 2027 | Viewed by 137
Editor
Interests: differential geometry; geometrical methods for dynamical systems; qualitative theory of dynamical systems; mathematical modelling and applications of dynamical systems in physics, biology, ecology and epidemiology; mathematical analysis; nonlinear analysis
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
The primary aim of this Special Issue of Axioms, entitled “New Perspectives in Differential Geometry and Its Applications”, is to publish original research and review papers on the topic of differential geometry and its applications. We seek studies from interdisciplinary mathematical research fields that use differential geometric tools and methods to investigate geometrical structures from the natural sciences, with a focus on the following topics: differential equations on manifolds; geometric flows; global analysis; Lie groups; local and global stability; Lyapunov and Jacobi stability; the calculus of variations on manifolds; the topology of manifolds; Riemann, Finsler, Lagrange and Hamilton geometries; symplectic and polysymplectic geometries; symmetry and conservation laws; gauge theory; mathematical modelling; and applications of differential geometry structures to various fields, like physics, quantum computing, biology, ecology, and epidemiology.
Dr. Florian Munteanu
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 250 words) can be sent to the Editorial Office for assessment.
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-anonymized peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms 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 2400 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
- geometrical structures on differentiable manifolds
- differential equations on manifolds
- global analysis
- Lie groups
- local and global stability
- Lyapunov (linear) stability
- Jacobi stability
- mathematical modelling
- applications to physics, quantum computing, biology, ecology and epidemiology
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