Special Issue "Pseudo-Riemannian Metrics and Applications"
A special issue of Axioms (ISSN 2075-1680).
Deadline for manuscript submissions: closed (30 April 2020).
Interests: differential geometry; Lie groups; global analysis; mathematical physics
Pseudo-Riemannian metrics are ubiquitous in differential geometry and its applications to theoretical physics. The study of the geometry of an n-dimensional manifold, once an inner product is assigned to the tangent space of each point, started with the revolutionary work of Riemann in the middle of the 19th century. In the first decades of the 20th century, the mathematical formulation of Einstein’s theory of relativity gave an exceptional impulse to the study of nondegenerate metrics. Since then, the relevance and applications of pseudo-Riemannian metrics has grown steadily. Among the recent achievements in this area, we can mention Perelman’s proof of the Poincaré Conjecture as an example.
The purpose of this Special Issue is to collect original and survey papers concerning relevant state-of-the-art results on pseudo-Riemannian metrics and their applications to Physics. A non-exhaustive list of topics includes homogeneous pseudo-Riemannian manifolds, Lorentzian manifolds, special curvature properties, tangent and unit tangent sphere bundles, Einstein manifolds and Ricci solitons, geodesic and magnetic curves, geometry of submanifolds, pseudo-Riemannian Lie groups, symmetries, special connections and metrics, methods of (pseudo-)Riemannian geometry, and harmonic maps.
Prof. Dr. Giovanni Calvaruso
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 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. Axioms is an international peer-reviewed open access quarterly 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 1000 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.
- Differential geometry
- Pseudo-Riemannian metrics
- Lorentzian metrics
- Homogeneous manifolds
- Lie groups
- Magnetic curves
- Geometry of submanifolds
- Special connections and metrics
- Einstein manifolds
- Ricci solitons
- Harmonic maps
- Applications to physics