Projective coordinates and compactification in elliptic, parabolic and hyperbolic 2-D geometry

• Autorzy: Biswas D.
• Języki publikacji: EN

Abstrakty

EN

The result that the upper half plane is not preserved in the hyperbolic case has implications in physics, geometry and analysis. We discuss in details the introduction of projective coordinates for the EPH cases. We also introduce an appropriate compactification for all the three EPH cases, which results in a sphere in the elliptic case, a cylinder in the parabolic case and a crosscap in the hyperbolic case.

Słowa kluczowe

EN

EPH cases; projective coordinates; compactification; Mobius transformation; Clifford algebra; Lie group

PL

współrzędne rzutowe; uzwarcenie; transformacja Mobiusa; algebra Clifforda; grupa Liego

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2012
• Tom: Vol. 18, nr 1
• Strony: 145--158
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Biswas D.

• Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India,

Bibliografia

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