Differential Geometry, Geometric Analysis and Their Related Applications

Dear Colleagues,

As an important branch of mathematics, differential geometry provides a mathematical framework for understanding the geometric structures and properties of spaces. Differential geometry encompasses a wide range of topics and has applications in various areas of mathematics, physics, engineering, computer graphics, etc. This Special Issue is devoted to novel research on differential geometry, geometric analysis, and their wide-ranging applications. The topics covered in this Special Issue include, but are not limited to:

1. Differential Geometry: Riemannian geometry, manifolds, Finsler geometry, symplectic geometry, contact geometry, complex and Kähler geometry, geodesic mappings, Minkowski spaces, almost geodesic mappings, etc.
2. Geometric Analysis: minimal surfaces, geometric flows, geometric measure theory, geometric functional theory, geometric inequalities, such as the isoperimetric inequality, Sobolev inequalities, and the Minkowski inequality.
3. Geometric Methods in Image Processing and Computer Vision: including topics such as geometric transformations, shape analysis, geometric modeling, and geometric methods for image registration and segmentation.
4. Applications in Engineering and Applied Sciences.

All the related topics on the areas of differential geometry and geometric analysis will be of interest to this Special Issue.

Prof. Dr. Mića S. Stanković
Guest Editor

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