Differential Geometry: Structures on Manifolds and Their Applications
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".
Deadline for manuscript submissions: closed (30 April 2022) | Viewed by 22083
Special Issue Editor
Interests: differential geometry; (pseudo-) Riemannian geometry; submanifolds
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
When a manifold is endowed with a geometric structure, we have more opportunities to explore its geometric properties. Affine geometry, Riemannian geometry, contact geometry, Kaelher geometry, CR geometry, or Finsler geometry are only a few examples of such differential geometric structures. Several theoretical and practical applications have been obtained over the years: mathematical physics, mathematical biology, economy, and so on. On the other hand, the theory of submanifolds represents an important field in differential geometry, especially when the ambient manifold carries geometric structures. The connection between the intrinsic geometry of the submanifold with its extrinsic geometry has been extensively developed in recent decades.
Prof. Dr. Marian Ioan Munteanu
Guest Editor
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Keywords
- Contact structures
- Distributions
- Geodesic and harmonic maps
- Delta invariants
- Minimal submanifolds
- CR submanifolds
- Curvature