Geometric Methods in Contemporary Engineering

Dear Colleagues,

Geometry, physics, and mechanical engineering have been intertwined since the dawn of modern civilization. With the advancement of technology and mathematics, representative geometric models have been found for increasingly more branches of modern science—both as an insight and computational tool—simultaneously driving the theory forward with new applied problems. This Special Issue is dedicated to the exploration of the fruitful symbiosis between geometric ideas and problems in modern engineering.

Authors are encouraged to submit their manuscripts that focus on novel geometric models driven by applied engineering problems, as well as efficient practical solutions using various ideas and tools of geometry. We accept high-quality papers that contain well-presented original results according to the standards of MDPI; however, exceptionally good review articles are also welcome.

The main scope of this Special Issue includes (but is not limited to) the following topics:

• The use of groups, symmetries, and structures in manifolds;
• Clifford's geometric algebra in modern engineering problems;
• Classical geometric phases in mechanics and electrodynamics;
• Geometric models of entanglement in quantum computation;
• Applications of projective and conformal geometry in computer vision;
• Spectral geometry and geometric analysis in the study of structures;
• Singularities and catastrophes in material science and geometric optics;
• Graphs, knots, and applied computational topology;
• Geometry-driven numerical and machine learning algorithms;
• Nonlinear dynamics and fractals.

Dr. Danail Brezov
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. Mathematics is an international peer-reviewed open access semimonthly 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 2600 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.

• Lie groups and symmetries
• Clifford’s geometric algebra and calculus
• applied differential geometry
• graphs, knots, and computational topology
• spectral geometry and geometric analysis
• nonlinear dynamics and fractals
• geometric deep learning