Special Issue "Advances in Differential Geometry of Submanifolds"

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".

Deadline for manuscript submissions: 20 February 2024 | Viewed by 150

Special Issue Editors

Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000 Belgrade, Serbia
Interests: differential geometry; Riemannian geometry; geometry of submanifolds; affine differential geometry
Dr. Ana Irina Nistor
E-Mail Website
Guest Editor
Department of Mathematics and Informatics, “Gheorghe Asachi” Technical University of Iasi, Bd. Carol I, no. 11A, 700506 Iasi, Romania
Interests: differential geometry; Riemannian geometry

Special Issue Information

Dear Colleagues,

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
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

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Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • (Pseudo) Riemannian geometry of submanifolds
  • Riemannian invariants
  • δ-invariants
  • Lagrangian submanifolds
  • CR and slant submanifolds
  • Affine hypersurfaces

Published Papers

This special issue is now open for submission.
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