Special Metrics
A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".
Deadline for manuscript submissions: closed (31 October 2020)
Special Issue Editor
Interests: differential geometry; complex geometry; Lie groups; geometric flows
Special Issues, Collections and Topics in MDPI journals
Special Issue Information
Dear Colleagues,
Special metrics arise naturally in Differential Geometry and Theoretical Physics. They are usually characterized by conditions on the curvature. The most important class of such metrics is the one of constant Ricci-curvature, or Einstein metrics. Such metrics are often the best candidates for the role of canonical metrics on manifolds and thus have a very important role in Topology. They have been also studied in theoretical physics, initially in General Relativity but more recently also in Superstring Theories.
One of the important objects associated with a metric is the holonomy group. The study of compact manifolds with special holonomy is relevant not only in Differential Geometry and Theoretical Physics, but also in relation with Algebraic Geometry.
The goal of this Special Issue is to provide a collection of research and survey papers that reflect the research on special (pseudo-)Riemannian metrics in Differential Geometry, in relation with Topology, Algebraic Geometry, and Superstring Theories.
We look forward to your contributions to this Special Issue,
Prof. Dr. Anna Maria Fino
Guest Editor
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.
Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed open access monthly journal published by MDPI.
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.
Keywords
- Einstein metric
- Ricci flat metric
- constant scalar curvature metrics
- holonomy group
- G2
- Spin(7)
- Calabi–Yau manifold
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Related Special Issue
- Applications of Differential Geometry in Axioms (9 articles)
