An extension of Mobius--Lie geometry with conformal ensembles of cycles and its implementation in a GiNaC library
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Publication:5242742
DOI10.15673/tmgc.v11i3.1203zbMath1428.51001arXiv1512.02960OpenAlexW3099917152WikidataQ128591039 ScholiaQ128591039MaRDI QIDQ5242742
Publication date: 13 November 2019
Published in: Proceedings of the International Geometry Center (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.02960
Software, source code, etc. for problems pertaining to geometry (51-04) Möbius geometries (51B10) Lie geometries in nonlinear incidence geometry (51B25) Analytic geometry with other transformation groups (51N25)
Related Items (3)
Cycles cross ratio: an invitation ⋮ Conformal Parametrisation of Loxodromes by Triples of Circles ⋮ Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group
Uses Software
Cites Work
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- Induced representations and hypercomplex numbers
- Erlangen program at large-1: geometry of invariants
- Laguerre arc length from distance functions
- An introduction to Dirac operators on manifolds
- Foundations of geometric algebra computing.
- Clifford algebra to geometric calculus. A unified language for mathematics and physics
- Fillmore-Springer-Cnops construction implemented in GiNaC
- Möbius groups over general fields using Clifford algebras associated with spheres
- Introduction to the GiNaC framework for symbolic computation within the \(\text{C}^{++}\) programming language
- The groups of two by two matrices in double and dual numbers, and associated Möbius transformations
- A fundamental theorem for dimension-free Möbius sphere geometries
- A Geometric Representation of Continued Fractions
- Geometry of Möbius Transformations
- Possible quantum kinematics
- Two-dimensional conformal models of space-time and their compactification
- On the advancements of conformal transformations and their associated symmetries in geometry and theoretical physics
- A novel generalization of Clifford's classical point–circle configuration. Geometric interpretation of the quaternionic discrete Schwarzian Kadomtsev–Petviashvili equation
- Menelaus$apos$ theorem, Clifford configurations and inversive geometry of the Schwarzian KP hierarchy
- Conformal compactification of spacetimes
- Symmetry, Geometry and Quantization with Hypercomplex Numbers
- Circle Complexes and the Discrete CKP Equation
- Reciprocal Figures, Graphical Statics, and Inversive Geometry of the Schwarzian BKP Hierarchy
- A Tale of Two Fractals
- Conformal Parametrisation of Loxodromes by Triples of Circles
- Degrees of Relatedness
- Geometric dynamics of a harmonic oscillator, arbitrary minimal uncertainty states and the smallest step 3 nilpotent Lie group
- Space-Time Algebra
- Possible quantum kinematics. II. Nonminimal case
- Poincaré extension of Möbius transformations
- CONFORMAL GEOMETRY OF THE (DISCRETE) SCHWARZIAN DAVEY-STEWARTSON II HIERARCHY
- On a Triangle Inscribed in a Rectangular Hyperbola
- Lie sphere geometry. With applications to submanifolds
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