Results 11 to 20 of about 46,919 (265)
On the geometry and the topology of parametric curves [PDF]
Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation, 2020 We consider the problem of computing the topology and describing the geometry of a parametric curve in R. We present an algorithm, PTOPO, that constructs an abstract graph that is isotopic to the curve in the embedding space. Our method exploits the benefits of the parametric representation and does not resort to implicitization.
Katsamaki, Christina +3 more
openaire +2 more sources
Nuclear Physics B, 2020 Perturbative string amplitudes are correctly derived from the string geometry theory, which is one of the candidates of a non-perturbative formulation of string theory. In order to derive non-perturbative effects rather easily, we formulate topological string geometry theory.
Sato, Matsuo, Sugimoto, Yuji
openaire +4 more sources
Journal of Mathematical Sciences, 2023 AbstractThe extremal structure of zero-neighbourhoods of a topological module is analyzed reaching unexpected conclusions when the module topology is not Hausdorff. These results motivate us to introduce the notion of metric modules, which are modules endowed with a translation-invariant metric, turning them into an (additive) topological group.
openaire +3 more sources
An Application of Total-Colored Graphs to Describe Mutations in Non-Mendelian Genetics
Mathematics, 2019 Any gene mutation during the mitotic cell cycle of a eukaryotic cell can be algebraically represented by an isotopism of the evolution algebra describing the genetic pattern of the inheritance process.
Raúl M. Falcón +2 more
doaj +1 more source
On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
Journal of High Energy Physics, 2023 Inflationary spacetimes have been argued to be past geodesically incomplete in many situations. However, whether the geodesic incompleteness implies the existence of an initial spacetime curvature singularity or whether the spacetime may be extended ...
Ghazal Geshnizjani +2 more
doaj +1 more source
Geometry and topological photonics
Journal of Optics, 2023 Abstract Topological photonics provides a powerful framework to describe and understand many nontrivial wave phenomena in complex electromagnetic platforms. The topological index of a physical system is an abstract global property that depends on the family of operators that describes the propagation of Bloch waves.
openaire +2 more sources
Splines in geometry and topology [PDF]
Computer Aided Geometric Design, 2016 This survey paper describes the role of splines in geometry and topology, emphasizing both similarities and differences from the classical treatment of splines. The exposition is non-technical and contains many examples, with references to more thorough treatments of the subject.
openaire +5 more sources
Advances in Difference Equations, 2021 The constant elasticity of substitution (CES for short) is a basic property widely used in some areas of economics that involves a system of second-order nonlinear partial differential equations.
Haila Alodan +3 more
doaj +1 more source
Differential Geometry of Submanifolds in Complex Space Forms Involving δ-Invariants
Mathematics, 2022 One of the fundamental problems in the theory of submanifolds is to establish optimal relationships between intrinsic and extrinsic invariants for submanifolds.
Bang-Yen Chen +2 more
doaj +1 more source
Geometry of CMC surfaces of finite index
Advanced Nonlinear Studies, 2023 Given r0>0{r}_{0}\gt 0, I∈N∪{0}I\in {\mathbb{N}}\cup \left\{0\right\}, and K0,H0≥0{K}_{0},{H}_{0}\ge 0, let XX be a complete Riemannian 3-manifold with injectivity radius Inj(X)≥r0\hspace{0.1em}\text{Inj}\hspace{0.1em}\left(X)\ge {r}_{0} and with the ...
Meeks William H., Pérez Joaquín
doaj +1 more source