Symmetry/Asymmetry: Differential Geometry and Its Applications

Dear Colleagues,

Differential geometry is the branch of mathematics that studies the geometry of curves, surfaces, and manifolds (high-dimensional analogues of surfaces). Although the modern subject often uses algebraic and purely geometric techniques, the discipline owes its name to the use of ideas and techniques in differential calculus. The founder of differential geometry is considered to be Carl Friedrich Gauss. Gauss made important contributions to the field of differential geometry of curves and surfaces, and his work formed the basis of modern differential geometry. Differential geometry finds applications throughout mathematics and the natural sciences. Most prominently, the language of differential geometry was used by Albert Einstein in his theory of general relativity, and subsequently by physicists in the development of quantum field theory and the standard model of particle physics. Outside of physics, differential geometry finds applications in chemistry, economics, engineering, control theory, computer graphics and computer vision, and recently in machine learning. The use of differential geometry tools in computer science has become increasingly common in recent years, and the number of global investigations has grown. In addition to curves and surfaces, there are applications of manifolds theory in many fields, such as data analysis, image and audio processing, and data mining.

This Special Issue is devoted to discussing the latest technological developments as well as providing the latest findings related to various fields of differential geometry. Therefore, we would like to invite researchers from all over the world—especially those who use the concepts of symmetry or asymmetry in their methodologies—to share their work in this issue.

Dr. Luca Grilli
Dr. Süleyman Şenyurt
Prof. Dr. Marian Ioan Munteanu
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. Symmetry 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.