Projective Disk and the Action of SL($$\boldsymbol{3,\mathbb{R}}$$): Exploring Orthogonality

DOI10.1134/S1995080223120090MaRDI QIDQ6497285

Unnamed Author, Debapriya Biswas

Publication date: 6 May 2024

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Real and complex geometry (51Mxx) Geometric function theory (30Cxx) Generalized function theory (30Gxx)

Cites Work

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• The invariance of cycles in upper half plane under Möbius transformation in EPH cases
• Erlangen program at large-1: geometry of invariants
• Non-Abelian harmonic analysis. Applications of \(SL(2,{\mathbb{R}})\)
• Projective cross-ratio on hypercomplex numbers
• Möbius action of \(\mathrm{SL}(2; \mathbb{R})\) on different homogeneous spaces
• A hyperbolic view of the seven circles theorem
• Perspectives on Projective Geometry
• Geometry of Möbius Transformations
• Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program
• Poincaré extension of Möbius transformations
• Hyperbolic trigonometry and its application in the Poincaré ball model of hyperbolic geometry
• Isometric action of \(SL_{2}(\mathbb{R})\) on homogeneous spaces

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