Differential Geometry: Structures on Manifolds and Their Applications
Deadline for manuscript submissions: closed (30 April 2022) | Viewed by 20657
Interests: differential geometry; (pseudo-) Riemannian geometry; submanifolds
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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
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- Contact structures
- Geodesic and harmonic maps
- Delta invariants
- Minimal submanifolds
- CR submanifolds