Cycle-based formulations in Distance Geometry by Liberti, Leo, Iommazzo, Gabriele, Lavor, Carlile, Maculan, Nelson

“…The distance geometry problem asks to find a realization of a given simple edge-weighted graph in a Euclidean space of given dimension $K$, where the edges are realized as straight segments of lengths equal (or as close as possible) to the edge weights. …”
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Special Kähler geometry and holomorphic Lagrangian fibrations by Li, Yang, Tosatti, Valentino

“…Given a holomorphic Lagrangian fibration of a compact hyperkähler manifold, we use the differential geometry of the special Kähler metric that exists on the base away from the discriminant locus, and show that the pullback of the tangent bundle of the base to the total space of a family of minimal rational curves admits a parallel splitting. …”
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Zur Geometrie Tangentbündeln der dritter Ordnung by Edmundas Mazėtis

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CONSTRUCTIVE GEOMETRY IN IMPLEMENTATIONS OF MODERN 3D GRAPHICS by Ivan G. Lenchuk, Oleksandr O. Mosiiuk

Subjects: “…constructive geometry…”
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Geometry of distribution of flags in an even-dimensional affine space by Kazimieras Navickis

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Higher Orbital Integrals, Cyclic Cocycles and Noncommutative Geometry by Yanli Song, Xiang Tang

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On differential geometry of tangent and cotangent bundles of Riemannian manifold by Angelė Baškienė

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Incommensurable matter-wave jets in quasi-1D geometry by Tadej Mežnaršič, Rok Žitko, Katja Gosar, Jure Pirman, Katja Arh, Matevž Jug, Erik Zupanič, Peter Jeglič

“…We study the formation of higher-order jets in quasi-one-dimensional geometry with numerical one dimensional (1D) Gross-Pitaevskii equation simulation. …”
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The difference vectors for convex sets and a resolution of the geometry conjecture by Alwadani, Salihah, Bauschke, Heinz H., Revalski, Julian P., Wang, Xianfu

“…The geometry conjecture, which was posed nearly a quarter of a century ago, states that the fixed point set of the composition of projectors onto nonempty closed convex sets in Hilbert space is actually equal to the intersection of certain translations of the underlying sets.In this paper, we provide a complete resolution of the geometry conjecture. …”
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Quantum gravitational corrections to the geometry of charged AdS black holes by Behnam Pourhassan, Ruben Campos Delgado, Sudhaker Upadhyay, Hoda Farahani, Himanshu Kumar

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Problems on the teaching of geometry in comprehensive schools for 21st century by Valentina Dagienė

“… The main aim of this paper is to identify current major trends in geometry and to discuss perspectives concerning its teaching in schools, for today and for tomorrow. …”
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Juozas Revuckas on development of logical thinking of pupils in teaching geometry by Algirdas Ažubalis

Subjects: “…teaching geometry…”
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Drinfel’d doubles, twists and all that. . . in stringy geometry and M theory by Aybike Çatal-Özer, Keremcan Doğan, Cem Yetişmişoğlu

Subjects: “…Differential and Algebraic Geometry…”
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Geometry of nondegenerate polynomials: Motivic nearby cycles and Cohomology of contact loci by Lê, Quy Thuong, Nguyen, Tat Thang

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Investigating the role of divertor geometry on density build-up in the island divertor by N. Maaziz, F. Reimold, V.R. Winters, D. Bold, Y. Feng, V. Perseo

“…To alleviate the impact of the complicated geometry, a simplified geometry model for the island divertor in EMC3-EIRENE is developed and used to investigate the effect of the divertor target geometry. …”
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La géométrie de l'espace des éléments d'appuis Yn by Jolita Pakalnyté, Algimantas Pranas Urbonas

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Particle-in-cell simulation of laser wakefield accelerators with oblique lasers in quasicylindrical geometry by Minghao Ma, Ming Zeng, Jia Wang, Guangwei Lu, Wenchao Yan, Liming Chen, Dazhang Li

“…In conventional methods, this is only possible in either two- or three-dimensional Cartesian geometries, which have the drawbacks of either lack of fidelity for the actual situation or requiring a huge amount of computational resources. …”
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A new approach to the study of the size and the geometry effect on compressive strength in concrete by Ángel De La Rosa, Gonzalo Ruiz

“…This model defines precise conversion relationships between the compressive strengths of specimens with different geometries, enhancing the understanding of Fracture Mechanics in concrete technology and having significant implications for improving structural design codes. …”
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