Differential Geometry: Theory and Applications Part II
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: closed (31 July 2022) | Viewed by 16549
Special Issue Editor
Interests: differential geometry; Riemannian geometry; real hypersurfaces i symmetric spaces
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
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—e.g., 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, from biology to architecture.
This Special Issue is intended to provide a series of papers focused on the study of 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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Keywords
- Differentiable manifolds
- (pseudo) Riemannian geometry
- Submanifolds
- Spacetimes
- Physics
- Statistics
- Curvature
- Fiber bundles
- Invariants
- Contact structures
- Other sciences