Differential Geometry and its Application

Top Research Topics at Differential Geometry and Its Applications?

The journal is mainly concerned with subjects like Pure mathematics, Mathematical analysis, Curvature, Manifold and Scalar curvature. The work on Pure mathematics tackled in the journal brings together disciplines like Space (mathematics), Metric (mathematics) and Algebra. The works on Mathematical analysis deal in particular with Riemannian manifold.

Curvature research discussed connects with the study of Constant (mathematics). Discussions in it are anchored in the subject of Scalar curvature and the similar topic of Riemann curvature tensor. The study on Mean curvature presented is investigated in conjunction with research in Hypersurface.

• Pure mathematics (57.72%)
• Mathematical analysis (51.21%)
• Curvature (14.13%)

What are the most cited papers published in the journal?

• Ricci solitons on compact three-manifolds (257 citations)
• On the multisymplectic formalism for first order field theories (206 citations)
• Rigidity of quasi-Einstein metrics ☆ (164 citations)

Research areas of the most cited articles at Differential Geometry and Its Applications:

The journal papers focus on Mathematical analysis, Pure mathematics, Curvature, Mathematical physics and Manifold. The published papers explore issues in Mathematical analysis which can be linked to other research areas like Ricci curvature and Scalar curvature, Ricci-flat manifold. Geodesic, Metric (mathematics) and Algebra are some topics wherein Pure mathematics research discussed in the published articles has an impact.

What topics the last edition of the journal is best known for?

• Mathematical analysis
• Geometry
• Pure mathematics

The previous edition focused in particular on these issues:

The primary areas of discussion in Differential Geometry and Its Applications are Pure mathematics, Curvature, Type (model theory), Space (mathematics) and Manifold. Differential Geometry and Its Applications focuses on Pure mathematics but the discussions also offer insight into other areas such as Ricci curvature, Metric (mathematics) and Homogeneous space. The close relationship between Flag (geometry) and Constant (mathematics) is one of the points of interest dissected in Curvature research.

The studies in Type (model theory) featured incorporate elements of Structure (category theory) and Group (mathematics). While work presented in it provided substantial information on Space (mathematics), it also covered topics in Geometry, Minkowski space, Geodesic and Sequence. The featured Manifold study falls within the wider topic of Mathematical analysis.

The most cited articles from the last journal are:

• Fisher-Rao geometry of Dirichlet distributions (5 citations)
• On holonomy of Weyl connections in Lorentzian signature (2 citations)
• Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry (2 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

Top authors and change over time

The top authors publishing in Differential Geometry and Its Applications (based on the number of publications) are:

• Michael Crampin (11 papers) absent at the last edition,
• David Saunders (10 papers) absent at the last edition,
• Giovanni Calvaruso (9 papers) absent at the last edition,
• J. Muñoz Masqué (9 papers) absent at the last edition,
• Indranil Biswas (9 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Top affiliations and change over time

Only papers with recognized affiliations are considered

The top affiliations publishing in Differential Geometry and Its Applications (based on the number of publications) are:

• Masaryk University (23 papers) published 1 paper at the last edition,
• Katholieke Universiteit Leuven (22 papers) published 2 papers at the last edition, 2 less than at the previous edition,
• University of Granada (21 papers) published 1 paper at the last edition,
• University of Vienna (19 papers) absent at the last edition,
• University of Turin (17 papers) absent at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 11.24% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 6.33% were posted by at least one author from the top 10 institutions publishing in the journal. Another 6.33% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 8.86% of all publications and 78.48% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

• Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
• Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
• Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
• Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
• Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.