A useful fractional linear transformation for the riccati equation for reflection coefficients

1995 ◽  
Vol 8 (6) ◽  
pp. 312-314 ◽  
Author(s):  
Sailing He
Keyword(s):  
Riccati Equation ◽  
Linear Transformation ◽  
Reflection Coefficients ◽  
Fractional Linear Transformation

scholarly journals Notes on projective structures on complex manifolds

1989 ◽  
Vol 116 ◽  
pp. 63-88 ◽  
Author(s):  
Björn Gustafsson ◽  
Jaak Peetre
Keyword(s):  
Riemann Surface ◽  
Linear Transformation ◽  
Projective Structure ◽  
Complex Manifolds ◽  
Projective Structures ◽  
Fractional Linear Transformation ◽  
Local Coordinates

Consider a Riemann surface X equipped with a projective structure, that is, a covering of X with coordinate neighborhoods U and corresponding (holomorphic) local coordinates {t} such that in the intersection U ∩ U′ of any two such coordinate neighborhoods U and U′ change of local coordinates is mediated by a fractional linear transformation

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