Geometric Invariants Under the Möbius Action of the Group SL(2;R)

DOI10.46793/KgJMat2106.925BzbMath1499.57023OpenAlexW4200077134MaRDI QIDQ5035253

Sandipan Dutta, Debapriya Biswas

Publication date: 21 February 2022

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

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/68/7_eng.html

zbMATH Keywords

homogeneous spacesinvariantsLie groupIwasawa decompositionMöbius transformation\(SL(2\mathbb{R})\) group

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homogeneous spaces (22F30) Topological groups (topological aspects) (54H11) Group actions on affine varieties (14R20) Topological geometries on manifolds (51H20) Noncompact Lie groups of transformations (57S20)

Related Items (3)

Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program ⋮ Invariant projective properties under the action of the Lie group \(\mathrm{SL}(3; \mathbb{R})\) on \(\mathbb{RP}^2\) ⋮ The Geometry of the Projective Action of $\text{SL}(3,\mathbb{R})$ from the Erlangen Perspective

Uses Software

• GiNaC-cycle

Cites Work

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• Erlangen program at large-1: geometry of invariants
• An introduction to Dirac operators on manifolds
• Geometry of Möbius Transformations
• Analysis in or the principal function theory
• The Four Pillars of Geometry
• Isometric action of \(SL_{2}(\mathbb{R})\) on homogeneous spaces

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