Special Issue "Differential Geometry: Theory and Applications"
Deadline for manuscript submissions: 30 November 2020.
Interests: differential geometry; Riemannian geometry
Differential geometry can be considered to have been born in the middle of the 19th century, and from this moment, it has had several applications not only in mathematics, but in many other sciences. One can think, for example, about applications of the theory of curves and surfaces in the Euclidean plane and space. Differential geometry can be defined as the study of the geometry of differential manifolds, as well as of their submanifolds, and when these spaces are equipped with a metric (not necessarily Euclidean), one arrives at pseudo-Riemannian geometry and the main tool of curvature of a manifold, a concept with fundamental applications in physics, for instance, in the study of spacetimes.
In addition, applications of differential geometry can be found in almost any field of science, form biology to architecture.
This Special Issue is intended to provide a series of papers focused on the study of the problems in differential geometry, such as the different structures that one can consider on a differentiable or (pseudo) Riemannian manifold and its submanifolds, such as vector fields, forms, different kinds of tensor fields, fiber bundles, affine connections on manifolds, and how to apply them to other fields of science.
Prof. Juan De Dios Pérez
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. Mathematics 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 1200 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.
- Differentiable manifolds
- (pseudo) Riemannian geometry
- Fiber bundles
- Contact structures
- Other sciences