Differential Geometry: Theory and Applications

Dear Colleagues,

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. Dr. Juan De Dios Pérez
Guest Editor

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