New Research on 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 October 2026 | Viewed by 15

Special Issue Editors


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Guest Editor
Mathematical Institute, Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
Interests: differential geometry of mappings; generalized Riemannian spaces and generalized affine connection spaces applied in physics; applications of differential geometry in multi-criteria decision making
Special Issues, Collections and Topics in MDPI journals

E-Mail Website
Guest Editor
Instituto de Matemática Interdisciplinar, Departamento de Geometría y Topología, Universidad Complutense de Madrid, Plaza de Ciencias 3, E-28040 Madrid, Spain
Interests: real and complex lie algebras and groups; differential forms and distribution theory; contractions and deformations; Casimir invariants; symmetries in physics; representation theory; lie group analysis of differential equations; Lagrangian and Hamiltonian formalism in classical mechanics; integrable and superintegrable systems; symmetry-conditioned perturbation theory; inverse problems in dynamics; supersymmetry
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Differential geometry has been applied in mechanics and cosmology. A paper that generalized the MCDM method in the sense of differential geometry was published in 2023 [1]. In light of this, this Special Issue will addresses the following topics: 1. theoretical differential geometry; 2. Riemannian spaces and cosmology; 3. graphical data analysis in quantum mechanics; and 4. differential geometry-based MCDM methods and applications. In part 1, authors should present novel results obtained with respect to tensor calculus. In part 2, novel computations in cosmology should be offered. In part 3, the application of quantum mechanics in chemistry covered by different graphical analyses should be presented. The aim of this Special Issue is to provide an overview of recent results that provide scope for further novel investigations into various areas of applied mathematics.

Reference

1. Simjanović, et al., A Novel Fuzzy Analytic Hierarchy Process, Filomat, Vol. 37, No. 11 (2023)

Dr. Nenad O. Vesić
Dr. Rutwig Campoamor-Stursberg
Guest Editors

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-blind 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

  • tensor calculus
  • affine connection
  • metric tensor
  • inner product
  • curvature tensor
  • invariants
  • cosmological models
  • energy levels
  • fuzzy numbers and MCDM methods
  • graphical analysis

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Published Papers

This special issue is now open for submission.
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