ABOUT THE GEOMETRY AND THE APPLICATIONS OF THE TWISTED SURFACES by MÂRZA Carmen, CÎMPEAN Dalia, CORSIUC Georgiana

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A remark on the geometry of the Gowers space by Luis A R Grados

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Rank inequality in homogeneous Finsler geometry by Ming Xu

“…This is a survey on some recent progress in homogeneous Finsler geometry. Three topics are discussed, the classification of positively curved homogeneous Finsler spaces, the geometric and topological properties of homogeneous Finsler spaces satisfying $K\geq0$ and the (FP) condition, and the orbit number of prime closed geodesics in a compact homogeneous Finsler manifold. …”
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Unconstrained and Contactless Hand Geometry Biometrics by Carmen Sánchez-Ávila, Gonzalo Bailador del Pozo, Javier Guerra-Casanova, Alberto de-Santos-Sierra

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Reflecting on the bases of geometry: Construction with the tractrix by Robert Dawson, Pietro Milici

“…Construction is, historically, the first form of geometry, and from early days the subtleties of how constructions are done have been considered important. …”
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Geometry of Degeneracy in Potential and Density Space by Markus Penz, Robert van Leeuwen

“…Degeneracy regions are shown to generally be in the shape of the convex hull of an algebraic variety, even in the continuum setting. The geometry arising between density regions and the potentials that create them is analyzed and explained with examples that, among other shapes, feature the Roman surface.…”
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Intelligent Augmented Reality for Learning Geometry by Aldo Uriarte-Portillo, Ramón Zatarain-Cabada, María Lucía Barrón-Estrada, María Blanca Ibáñez, Lucía-Margarita González-Barrón

“…The research findings imply that intelligent tutoring systems that integrate augmented reality can be exploited as an effective learning environment to help middle–high school students learn difficult topics such as geometry.…”
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On the geometry of Zermelo’s optimal control trajectories by Zohreh Fathi, Behroz Bidabad

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On Menelaus’ and Ceva’s theorems in Nil geometry by Szirmai Jenő

Subjects: “…thurston geometries…”
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Effect of Riblets Geometry on Drag Reduction by Nibras M. Mahdi, Ikhlase M. Fayed

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Standard Model in Weyl conformal geometry by D. M. Ghilencea

“…Abstract We study the Standard Model (SM) in Weyl conformal geometry. This embedding is truly minimal with no new fields beyond the SM spectrum and Weyl geometry. …”
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Symmetry breaking via internal geometry by Andrew Talmadge

“…Gauge theories commonly employ complex vector-valued fields to reduce symmetry groups through the Higgs mechanism of spontaneous symmetry breaking. The geometry of the internal space V is tacitly assumed to be the metric geometry of some static, nondynamical hermitian metric k. …”
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Geometry and complexity of O'Hara's algorithm by Matjaž Konvalinka, Igor Pak

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Metamaterial Electromagnetic Superabsorber with Arbitrary Geometries by Jingjing Yang, Ming Huang, Chengfu Yang, Jinhui Peng, Rong Zong

“…We find that for the given geometry size, the absorption cross section of the superabsorber using nonlinear transformation is larger than that using linear transformation. …”
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ASPECTS REGARDING THE METHODS IN DESCRIPTIVE GEOMETRY by Sofia Duicu

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ABOUT THE GEOMETRY AND THE APPLICATIONS OF THE TWISTED SURFACES by Carmen Marza, Dalia Cimpeanu, Georgiana Corsiuc

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Transformation geometry under simple shear by A.M. Dumansky, M.Y. Rusin, V.I. Nepovinnykh

“…Transformation geometry under simple shear has been analyzed. For this purpose, the mathematical apparatus of the nonlinear theory of elasticity has been used. …”
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Quantum Spacetime, Noncommutative Geometry and Observers by Fedele Lizzi

Subjects: “…noncommutative geometry…”
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Geometry of complexity in conformal field theory by Mario Flory, Michal P. Heller

“…In the former case, we iteratively solve the emerging integrodifferential equation for sample optimal circuits and discuss the sectional curvature of the underlying geometry. In the latter case, we recognize that optimal circuits are governed by Euler-Arnold type equations and discuss relevant results for three well-known equations of this type in the context of complexity.…”
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Probing localization and quantum geometry by spectroscopy by Tomoki Ozawa, Nathan Goldman

“…Our approach opens an avenue for probing localization, as well as quantum fluctuations, geometry and entanglement, in synthetic quantum matter.…”
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