Special Issue "Advances in Differential Geometry and Mathematical Physics"

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: 20 April 2024 | Viewed by 441

Special Issue Editor

Department of Mathematics and Statistics, UiT The Arctic University of Norway, 9019 Tromsø, Norway
Interests: alternative gravity theories; Cartan invariants; Pseudo-Riemannian geometry; teleparallel geometry; classification of manifolds

Special Issue Information

Dear Colleagues,

I am acting as a guest editor for a Special Issue on advances in differential geometry and mathematical physics in MDPI’s journal Axioms. Our intention with this Special Issue is to focus on new and interesting applications of differential geometry inspired by general relativity, its modifications and alternative gravity theories.

In particular, we would like to provide an opportunity to present recent developments in mathematical physics that incorporate geometries beyond curvature based Lorentzian geometries. This Special Issue will address the following non-exhaustive list of topics:

  • Symmetry methods.
  • Conformal symmetries.
  • Invariants associated with geometries.
  • Mathematical aspects of solutions to particular gravity theories.
  • Applications of pseudo-Riemannian geometries, teleparallel geometries, symmetric teleparallel geometries, Einstein–Cartan geometries or Finsler geometries to mathematical physics.

In addition to the above, any topic that relates to the application of differential geometry in mathematical physics is welcome.

We hope that this initiative will be attractive to experts in the field of mathematical physics who are exploring new ways to apply differential geometry to problems in mathematical physics. We encourage you to submit your current research or reviews to be included in the Special Issue.

Dr. David D. McNutt
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 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. 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.


  • Pseudo-Riemannian geometry
  • teleparallel geometry
  • Riemann–Cartan geometry
  • symmetries
  • invariants
  • black holes
  • conformal symmetries
  • alternative theories of gravity

Published Papers

This special issue is now open for submission.
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