Advances in 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: 28 February 2025 | Viewed by 909
Special Issue Editors
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.
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
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Special Issue Information
Dear Colleagues,
Differential geometry has been applied in mechanics and cosmology. Last year, a paper that generalized the MCDM method in the sense of differential geometry was published (Simjanović, et al., A Novel Fuzzy Analytic Hierarchy Process, Filomat, Vol. 37, No. 11 (2023)). Therefore, this Special Issue 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 that have been 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. In part 4, I encourage authors to submit papers that address multi-criteria decision-making with respect to the methodology presented in the above-mentioned paper by Simjanović. 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.
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 100 words) can be sent to the Editorial Office for announcement on this website.
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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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