Special Issue "Advances in Differential Geometry of Submanifolds"
Deadline for manuscript submissions: 20 February 2024 | Viewed by 150
Interests: differential geometry; Riemannian geometry; geometry of submanifolds; affine differential geometry
Differential geometry is the study of the geometric properties of differential manifolds and submanifolds. On a given manifold, one may consider some of the various structures that arise from its properties and, further, consider the submanifolds of such manifolds, i.e., the structures induced on it by its ambient space and related invariants. This is one of the subjects of the (pseudo) Riemannian geometry of submanifolds. In this regard, the relations between the intrinsic and extrinsic invariants of submanifolds are of particular interest.
On the other hand, in a manifold with a particular structure, one may investigate the submanifolds that satisfy certain important properties with respect to this structure. In this regard, one can consider almost complex or almost contact submanifolds and Lagrangian, slant, and CR submanifolds.
Affine hypersurfaces constitute another interesting family of submanifolds. These hypersurfaces are embedded in an affine flat space and hence do not obtain an induced metric from it but, in the case of regular hypersurfaces, are instead endowed with a metric through other means.
This Special Issue aims to provide the latest results in modern topics of the differential geometry of submanifolds, especially with respect to the new developments and advances in this field.
Dr. Miroslava Antić
Dr. Ana Irina Nistor
Manuscript Submission Information
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- (Pseudo) Riemannian geometry of submanifolds
- Riemannian invariants
- Lagrangian submanifolds
- CR and slant submanifolds
- Affine hypersurfaces